# Geometri Dasar untuk Persiapan TKA SD: Bangun Datar dan Bangun Ruang > Pelajaran geometri lengkap untuk siswa Sekolah Dasar yang sedang bersiap menghadapi Tes Kemampuan Akademik. Dimulai dari sifat-sifat bangun datar, yaitu persegi, persegi panjang, jajar genjang, trapesium, belah ketupat, layang-layang, segitiga, dan lingkaran. Dilanjutkan dengan rumus keliling dan luas yang dibangun dari gambar, lalu simetri lipat dan simetri putar yang benar-benar diperagakan. Bagian kedua membahas unsur bangun ruang, yaitu sisi, rusuk, titik sudut, diagonal sisi, dan diagonal ruang, kemudian sifat kubus, balok, prisma, limas, tabung, kerucut, dan bola. Ditutup dengan perhitungan volume, luas permukaan, serta dua contoh soal khas TKA yang dikerjakan langkah demi langkah, lengkap dengan pengingat satuan. - Canonical watch page: [Geometri Dasar untuk Persiapan TKA SD: Bangun Datar dan Bangun Ruang](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang) - Publisher: [Academa, Inc.](https://academa.ai) - Subject: Mathematics - Published: 2026-09-02T18:31:06.856Z - Updated: 2026-09-02T18:31:06.856Z - Duration: PT669S (11 minutes 9 seconds) - Chapters: 5 - Views: 2 - Language: en-US - Access: Free - Video stream: [HLS content](https://academa.ai/media/l/01M1HMCZDQJEHAD68TCN3ESXME/0/dark/master.m3u8) - Embed: [Player](https://academa.ai/embed/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang) - Audiovisual record: [Semantic JSON](https://academa.ai/media/l/01M1HMCZDQJEHAD68TCN3ESXME/0/semantic.json) - Thumbnail: [Image](https://academa.ai/media/l/01M1HMCZDQJEHAD68TCN3ESXME/0/dark/poster.jpg) ## Description Geometri untuk TKA SD: sifat bangun datar dan bangun ruang, keliling, luas, volume, luas permukaan, simetri lipat dan simetri putar. ## Chapters - [00:00–02:17.194 · Sifat-sifat Bangun Datar](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=0) - [02:17.194–04:17.592 · Keliling dan Luas](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=137.19370833333335) - [04:17.592–06:14.753 · Simetri Lipat dan Simetri Putar](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=257.5923125) - [06:14.753–08:12.593 · Unsur dan Sifat Bangun Ruang](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=374.7525416666666) - [08:12.593–11:09 · Volume, Luas Permukaan, dan Latihan](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=492.5927708333333) ## Transcript ### [00:00 · Sifat-sifat Bangun Datar](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=0) Hai, teman-teman. Hari ini kita belajar geometri untuk persiapan Tes Kemampuan Akademik. Kita akan mengenal bangun datar dan bangun ruang, dari sifatnya sampai cara menghitungnya. Kita mulai dari bangun datar. Bangun datar hanya punya panjang dan lebar, jadi bisa digambar rata di atas kertas. Ini persegi. Perhatikan sisinya. Keempat sisi persegi sama panjang, dan keempat sudutnya siku-siku. Sekarang persegi panjang. Sisi yang berhadapan sama panjang, tetapi sisi panjang dan sisi lebarnya berbeda. Sudutnya juga siku-siku semua. Kedua diagonal persegi panjang sama panjang, dan berpotongan tepat di tengah. Sifat ini sering ditanyakan dalam soal TKA. Berikutnya jajar genjang. Sisi yang berhadapan sejajar dan sama panjang, tetapi sudutnya tidak siku-siku. Sudut yang berhadapan pada jajar genjang besarnya sama. Ada dua sudut lancip dan dua sudut tumpul. Lalu trapesium. Trapesium punya tepat satu pasang sisi sejajar, yaitu sisi atas dan sisi bawah. Kalau kedua kakinya sama panjang, bangunnya disebut trapesium sama kaki. Sekarang belah ketupat. Keempat sisinya sama panjang, seperti persegi yang dimiringkan. Kedua diagonalnya berpotongan tegak lurus, dan saling membagi dua sama panjang. Layang-layang punya dua pasang sisi sama panjang yang berdekatan. Diagonalnya juga tegak lurus, tetapi hanya satu yang membagi dua sama panjang. Segitiga punya tiga sisi dan tiga sudut. Jumlah ketiga sudutnya selalu seratus delapan puluh derajat. Segitiga dibedakan dari sisinya, yaitu sama sisi, sama kaki, atau sembarang. Bisa juga dari sudutnya, yaitu lancip, siku-siku, atau tumpul. Terakhir lingkaran. Semua titik pada lingkaran berjarak sama dari pusatnya. Jarak itu disebut jari-jari. Garis yang melewati pusat dan menghubungkan dua titik pada lingkaran disebut diameter. Panjang diameter dua kali jari-jari. ### [02:17.194 · Keliling dan Luas](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=137.19370833333335) Sekarang kita berhitung. Dua hal yang paling sering ditanyakan adalah keliling dan luas. Keliling itu panjang tepinya, luas itu daerah di dalamnya. Lihat persegi panjang ini. Panjangnya lima satuan dan lebarnya tiga satuan. Untuk mencari keliling, kita berjalan mengelilingi tepinya. Lima, lalu tiga, lalu lima, lalu tiga. Semuanya enam belas satuan. Rumus cepatnya, keliling persegi panjang sama dengan dua kali panjang ditambah lebar. Sekarang luasnya. Kotak-kotak satuan ini menolong kita. Ada lima kotak dalam satu baris, dan ada tiga baris. Lima kali tiga sama dengan lima belas. Jadi luas persegi panjang adalah panjang kali lebar. Kalau panjang dan lebarnya sama, bangunnya menjadi persegi. Kelilingnya empat kali sisi, dan luasnya sisi kali sisi. Sekarang segitiga. Perhatikan, segitiga ini tepat setengah dari persegi panjang tadi. Alasnya lima satuan dan tingginya tiga satuan. Luas segitiga sama dengan setengah kali alas kali tinggi, jadi tujuh setengah satuan. Untuk kelilingnya, cukup jumlahkan ketiga sisinya. Sekarang jajar genjang. Tingginya diukur tegak lurus dari alas, bukan panjang sisi miringnya. Luasnya alas kali tinggi. Berikutnya trapesium. Luasnya setengah kali jumlah kedua sisi sejajar, lalu dikali tinggi. Belah ketupat dan layang-layang punya rumus luas yang sama, yaitu setengah kali diagonal pertama kali diagonal kedua. Terakhir lingkaran. Kelilingnya dua kali pi kali jari-jari, dan luasnya pi kali jari-jari kali jari-jari. Nilai pi yang biasa dipakai adalah tiga koma satu empat. Kalau jari-jarinya kelipatan tujuh, pakai dua puluh dua per tujuh supaya lebih mudah. ### [04:17.592 · Simetri Lipat dan Simetri Putar](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=257.5923125) Sekarang kita bahas simetri. Ada dua macam, simetri lipat dan simetri putar. Keduanya sering muncul dalam soal TKA. Simetri lipat adalah garis lipatan yang membuat kedua bagian bangun bertumpuk tepat sama. Pada persegi, garis pertama tegak. Garis kedua mendatar. Garis ketiga dan keempat melewati diagonalnya. Jadi persegi punya empat simetri lipat. Sekarang persegi panjang. Garis tegak dan garis mendatar membuat kedua bagiannya bertumpuk tepat sama, jadi ada dua. Bagaimana dengan diagonalnya? Kalau dilipat di garis merah ini, kedua bagiannya tidak bertumpuk. Jadi diagonal persegi panjang bukan simetri lipat. Jajar genjang malah tidak punya simetri lipat sama sekali. Ke arah mana pun dilipat, kedua bagiannya tidak akan pernah bertumpuk. Sekarang simetri putar. Bangun kita putar pada pusatnya, lalu kita hitung berapa kali bangun itu terlihat sama sebelum satu putaran penuh. Kita mulai dari nol derajat. Titik merah menandai satu pojok persegi. Sekarang putar sembilan puluh derajat. Titik merah pindah ke pojok berikutnya, dan perseginya terlihat persis sama seperti sebelumnya. Putar lagi menjadi seratus delapan puluh derajat, lalu dua ratus tujuh puluh, lalu tiga ratus enam puluh. Selalu terlihat sama. Jadi simetri putar persegi tingkat empat, karena dalam satu putaran penuh ia terlihat sama sebanyak empat kali. Ini rangkumannya. Untuk persegi, empat dan empat. Untuk persegi panjang, dua dan dua. Segitiga sama sisi, tiga dan tiga. Jajar genjang tidak punya simetri lipat, tetapi simetri putarnya tingkat dua. Belah ketupat, dua dan dua. Lingkaran punya simetri lipat dan simetri putar yang tak hingga banyaknya. ### [06:14.753 · Unsur dan Sifat Bangun Ruang](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=374.7525416666666) Sekarang kita pindah ke bangun ruang. Bangun ruang punya panjang, lebar, dan tinggi. Karena itu bangun ruang punya isi. Yang pertama kubus. Bidang datar yang membatasi kubus disebut sisi. Ini salah satu sisinya, yaitu sisi atas. Kubus punya enam sisi. Garis tempat dua sisi bertemu disebut rusuk. Ini salah satu rusuknya. Kubus punya dua belas rusuk yang sama panjang. Titik tempat tiga rusuk bertemu disebut titik sudut. Kubus punya delapan titik sudut. Ada juga diagonal. Diagonal sisi menghubungkan dua titik sudut yang terletak pada satu sisi yang sama. Diagonal ruang menembus bagian dalam kubus, menghubungkan dua titik sudut yang paling jauh. Sekarang kita lihat macamnya. Kubus punya enam sisi berbentuk persegi, dua belas rusuk sama panjang, dan delapan titik sudut. Balok mirip kubus, tetapi sisinya berbentuk persegi panjang. Jumlah unsurnya sama, yaitu enam, dua belas, dan delapan. Prisma segitiga. Alas dan tutupnya berbentuk segitiga. Ada lima sisi, sembilan rusuk, dan enam titik sudut. Limas segi empat. Alasnya persegi, dan sisi lainnya segitiga yang bertemu di satu puncak. Ada lima sisi, delapan rusuk, dan lima titik sudut. Tabung. Alas dan tutupnya lingkaran, ditambah satu sisi lengkung. Ada tiga sisi, dua rusuk lengkung, dan tidak ada titik sudut. Kerucut. Satu alas lingkaran, satu sisi lengkung, satu rusuk, dan satu titik puncak. Terakhir bola. Bola hanya punya satu sisi lengkung, tanpa rusuk dan tanpa titik sudut. ### [08:12.593 · Volume, Luas Permukaan, dan Latihan](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=492.5927708333333) Sekarang bagian yang paling sering keluar dalam TKA, yaitu volume dan luas permukaan. Volume adalah banyaknya ruang yang terisi. Ini balok dengan panjang empat satuan, lebar tiga satuan, dan tinggi dua satuan. Kita mulai dari lapisan paling bawah. Lapisan bawah ini seperti persegi panjang, dengan empat kali tiga sama dengan dua belas kubus satuan. Karena tingginya dua satuan, ada dua lapisan seperti itu. Lapis bawah dua belas, lapis atas dua belas. Kita jumlahkan bersusun. Dua belas ditambah dua belas sama dengan dua puluh empat. Jadi volume balok adalah panjang kali lebar kali tinggi. Pada kubus semua rusuknya sama panjang, jadi volumenya sisi kali sisi kali sisi. Rumus umumnya, volume prisma dan tabung sama dengan luas alas dikali tinggi. Rumus balok dan kubus hanya bentuk khususnya. Sekarang luas permukaan. Luas permukaan adalah jumlah luas seluruh sisinya. Bayangkan sebuah kubus kita buka menjadi jaring-jaring. Ada enam persegi yang sama besar. Mari kita hitung. Satu, dua, tiga, empat, lima, dan enam. Karena keenamnya sama, luas permukaan kubus adalah enam kali sisi kali sisi. Pada balok, sisinya berpasangan. Ada dua alas, dua sisi depan dan belakang, serta dua sisi samping. Karena itu rumusnya dua kali jumlah ketiga pasangan luas itu. Sekarang latihan seperti soal TKA. Sebuah lapangan berbentuk persegi panjang dengan panjang dua belas meter dan lebar delapan meter. Berapa keliling dan luasnya? Kelilingnya dua kali dua belas ditambah delapan. Dua belas ditambah delapan sama dengan dua puluh, dikali dua menjadi empat puluh meter. Luasnya panjang kali lebar, yaitu dua belas kali delapan sama dengan sembilan puluh enam meter persegi. Perhatikan satuannya, luas selalu meter persegi. Soal kedua. Sebuah bak air berbentuk balok dengan panjang delapan desimeter, lebar enam desimeter, dan tinggi empat desimeter. Volumenya delapan kali enam kali empat, yaitu seratus sembilan puluh dua desimeter kubik. Ingat, satu desimeter kubik sama dengan satu liter. Jadi bak itu memuat seratus sembilan puluh dua liter air. Luas permukaannya dua kali empat puluh delapan ditambah tiga puluh dua ditambah dua puluh empat. Isi kurungnya seratus empat, dikali dua menjadi dua ratus delapan desimeter persegi. Itulah bekal geometri kita. Ingat tiga hal, kenali sifat bangunnya, hafalkan rumusnya, dan periksa satuannya sebelum menulis jawaban. Semangat belajar, teman-teman. ## About Academa, Inc. Academa makes technical knowledge easier to understand through visual lectures and lets learners request new lecture videos on the topics they need. ## Complete audiovisual record Immutable source: [semantic.json](https://academa.ai/media/l/01M1HMCZDQJEHAD68TCN3ESXME/0/semantic.json) Record version: 1. Render attempt: 0. ### How to read this timeline Each scene owns its object identifiers. A beat's board is the complete board when listed, empty when marked empty, and unchanged from the nearest earlier listed board in the same scene when marked unchanged. Action times are absolute positions in the published video. ### Scene 1: [Sifat-sifat Bangun Datar](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=0) Span: 00:00–02:17.194 (0s–137.19370833333335s). #### Objects - diagonal\_bk1: a Line \[yellow\] drawn in kanvas (start=(2.4, 3.4), end=(2.4, 1.0), dashed=True) - diagonal\_bk2: a Line \[red\] drawn in kanvas (start=(1.1, 2.2), end=(3.7, 2.2), dashed=True) - diagonal\_ly1: a Line \[yellow\] drawn in kanvas (start=(6.6, 3.5), end=(6.6, 0.9), dashed=True) - diagonal\_ly2: a Line \[red\] drawn in kanvas (start=(5.5, 2.4), end=(7.7, 2.4), dashed=True) - diagonal\_pp1: a Line \[yellow\] drawn in kanvas (start=(5.0, 1.3), end=(8.2, 3.1), dashed=True) - diagonal\_pp2: a Line \[yellow\] drawn in kanvas (start=(8.2, 1.3), end=(5.0, 3.1), dashed=True) - diameter: a Line \[magenta\] labelled "d" drawn in kanvas (start=(5.45, 2.2), end=(7.75, 2.2)) - jajar: a Polygon \[blue\] labelled "upright("jajar genjang")" drawn in kanvas (vertices=((1.1, 1.1), (3.3, 1.1), (3.9, 3.2), (1.7, 3.2))) - jari: a Line \[yellow\] labelled "r" drawn in kanvas (start=(6.6, 2.2), end=(7.75, 2.2)) - judul\_jajar: a Heading that says "Jajar Genjang dan Trapesium" - judul\_ketupat: a Heading that says "Belah Ketupat dan Layang-layang" - judul\_lain: a Heading that says "Segitiga dan Lingkaran" - judul\_segiempat: a Heading that says "Persegi dan Persegi Panjang" - kanvas: a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)) - kartu: a Title that says "Matematika Sekolah Dasar — Geometri Dasar untuk Persiapan TKA SD: Bangun Datar dan Bangun Ruang" - ketupat: a Polygon \[blue\] labelled "upright("belah ketupat")" drawn in kanvas (vertices=((2.4, 3.4), (3.7, 2.2), (2.4, 1.0), (1.1, 2.2))) - layang: a Polygon \[green\] labelled "upright("layang-layang")" drawn in kanvas (vertices=((6.6, 3.5), (7.7, 2.4), (6.6, 0.9), (5.5, 2.4))) - lingkaran: a Circle \[green\] labelled "upright("lingkaran")" drawn in kanvas (center=(6.6, 2.2), radius=1.15) - persegi: a Polygon \[blue\] labelled "upright("persegi")" drawn in kanvas (vertices=((1.3, 1.0), (3.5, 1.0), (3.5, 3.2), (1.3, 3.2))) - persegi\_panjang: a Polygon \[green\] labelled "upright("persegi panjang")" drawn in kanvas (vertices=((5.0, 1.3), (8.2, 1.3), (8.2, 3.1), (5.0, 3.1))) - pusat: a Point \[text\] labelled "O" drawn in kanvas (location=(6.6, 2.2)) - segitiga: a Polygon \[blue\] labelled "upright("segitiga")" drawn in kanvas (vertices=((1.2, 1.0), (3.6, 1.0), (2.4, 3.2))) - sifat\_1: a Text \[text\] that says "Persegi: empat sisi sama panjang." - sifat\_10: a Text \[text\] that says "Diagonalnya tegak lurus dan membagi dua." - sifat\_11: a Text \[text\] that says "Layang-layang: dua pasang sisi sama." - sifat\_12: a Text \[text\] that says "Diagonalnya juga tegak lurus." - sifat\_13: a Text \[text\] that says "Segitiga: tiga sisi dan tiga sudut." - sifat\_14: a Text \[text\] that says "Jumlah sudut segitiga $= 180 degree$." - sifat\_15: a Text \[text\] that says "Lingkaran: jarak ke pusat selalu sama." - sifat\_16: a Text \[text\] that says "Diameter $= 2 times$ jari-jari." - sifat\_2: a Text \[text\] that says "Persegi: empat sudut siku-siku." - sifat\_3: a Text \[text\] that says "Persegi panjang: sisi berhadapan sama." - sifat\_4: a Text \[text\] that says "Kedua diagonalnya sama panjang." - sifat\_5: a Text \[text\] that says "Jajar genjang: sisi berhadapan sejajar." - sifat\_6: a Text \[text\] that says "Sudut berhadapannya sama besar." - sifat\_7: a Text \[text\] that says "Trapesium: satu pasang sisi sejajar." - sifat\_8: a Text \[text\] that says "Trapesium sama kaki: kaki sama panjang." - sifat\_9: a Text \[text\] that says "Belah ketupat: empat sisi sama panjang." - trapesium: a Polygon \[green\] labelled "upright("trapesium")" drawn in kanvas (vertices=((5.1, 1.1), (8.1, 1.1), (7.4, 3.2), (5.8, 3.2))) #### Beats ##### [00:00](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=0) Narration: Hai, teman-teman. Hari ini kita belajar geometri untuk persiapan Tes Kemampuan Akademik. Kita akan mengenal bangun datar dan bangun ruang, dari sifatnya sampai cara menghitungnya. Board: Empty. Actions: - [00:00](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=0): kartu is shown on the screen, written out. - [00:1.481](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=1.480833972392638): kartu: enter:write-left-to-right. ##### [00:11.066](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=11.0665) Narration: Kita mulai dari bangun datar. Bangun datar hanya punya panjang dan lebar, jadi bisa digambar rata di atas kertas. Board: Unchanged from the preceding beat in this scene. Actions: - [00:18.718](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=18.7175): kartu is hidden from the screen — left the board. ##### [00:19.917](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=19.917499999999997) Narration: Ini persegi. Perhatikan sisinya. Keempat sisi persegi sama panjang, dan keempat sudutnya siku-siku. Board: Unchanged from the preceding beat in this scene. Actions: - [00:19.917](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=19.917499999999997): kanvas is shown on the screen, written out. - [00:19.917](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=19.917499999999997): persegi is shown on the screen, written out. - [00:23.047](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=23.046999999999997): kanvas moves to a new place on the board. - [00:23.047](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=23.046999999999997): sifat\_1 is shown on the screen, written out. - [00:25.427](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=25.426999999999996): sifat\_2 is shown on the screen, written out. ##### [00:27.582](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=27.582499999999996) Narration: Sekarang persegi panjang. Sisi yang berhadapan sama panjang, tetapi sisi panjang dan sisi lebarnya berbeda. Sudutnya juga siku-siku semua. Board: sifat\_1 — a Text \[text\] that says "Persegi: empat sisi sama panjang."; sifat\_2 — a Text \[text\] that says "Persegi: empat sudut siku-siku."; kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); persegi — a Polygon \[blue\] labelled "upright("persegi")" drawn in kanvas (vertices=((1.3, 1.0), (3.5, 1.0), (3.5, 3.2), (1.3, 3.2))) Actions: - [00:28.047](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=28.046999999999993): persegi\_panjang is shown on the screen, written out. - [00:30.45](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=30.449999999999992): sifat\_3 is shown on the screen, written out. ##### [00:37.772](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=37.772499999999994) Narration: Kedua diagonal persegi panjang sama panjang, dan berpotongan tepat di tengah. Sifat ini sering ditanyakan dalam soal TKA. Board: sifat\_1 — a Text \[text\] that says "Persegi: empat sisi sama panjang."; sifat\_2 — a Text \[text\] that says "Persegi: empat sudut siku-siku."; sifat\_3 — a Text \[text\] that says "Persegi panjang: sisi berhadapan sama."; kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); persegi — a Polygon \[blue\] labelled "upright("persegi")" drawn in kanvas (vertices=((1.3, 1.0), (3.5, 1.0), (3.5, 3.2), (1.3, 3.2))); persegi\_panjang — a Polygon \[green\] labelled "upright("persegi panjang")" drawn in kanvas (vertices=((5.0, 1.3), (8.2, 1.3), (8.2, 3.1), (5.0, 3.1))) Actions: - [00:38.562](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=38.56199999999999): diagonal\_pp1 is shown on the screen, written out. - [00:38.836](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=38.83587285417845): diagonal\_pp2 is shown on the screen, written out. - [00:41.128](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=41.12799999999999): sifat\_4 is shown on the screen, written out. - [00:46.898](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=46.897999999999996): sifat\_1 is hidden from the screen — left the board. - [00:46.898](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=46.897999999999996): sifat\_2 is hidden from the screen — left the board. - [00:46.898](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=46.897999999999996): sifat\_3 is hidden from the screen — left the board. - [00:46.898](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=46.897999999999996): sifat\_4 is hidden from the screen — left the board. ##### [00:47.498](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=47.49799999999999) Narration: Berikutnya jajar genjang. Sisi yang berhadapan sejajar dan sama panjang, tetapi sudutnya tidak siku-siku. Board: kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); persegi — a Polygon \[blue\] labelled "upright("persegi")" drawn in kanvas (vertices=((1.3, 1.0), (3.5, 1.0), (3.5, 3.2), (1.3, 3.2))); persegi\_panjang — a Polygon \[green\] labelled "upright("persegi panjang")" drawn in kanvas (vertices=((5.0, 1.3), (8.2, 1.3), (8.2, 3.1), (5.0, 3.1))); diagonal\_pp1 — a Line \[yellow\] drawn in kanvas (start=(5.0, 1.3), end=(8.2, 3.1), dashed=True); diagonal\_pp2 — a Line \[yellow\] drawn in kanvas (start=(8.2, 1.3), end=(5.0, 3.1), dashed=True) Actions: - [00:47.498](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=47.49799999999999): persegi is hidden from the screen. - [00:47.498](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=47.49799999999999): persegi\_panjang is hidden from the screen. - [00:47.498](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=47.49799999999999): diagonal\_pp1 is hidden from the screen. - [00:47.498](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=47.49799999999999): diagonal\_pp2 is hidden from the screen. - [00:48.287](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=48.286999999999985): jajar is shown on the screen, written out. - [00:50.703](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=50.70299999999998): sifat\_5 is shown on the screen, written out. ##### [00:55.459](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=55.45899999999999) Narration: Sudut yang berhadapan pada jajar genjang besarnya sama. Ada dua sudut lancip dan dua sudut tumpul. Board: kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); sifat\_5 — a Text \[text\] that says "Jajar genjang: sisi berhadapan sejajar."; jajar — a Polygon \[blue\] labelled "upright("jajar genjang")" drawn in kanvas (vertices=((1.1, 1.1), (3.3, 1.1), (3.9, 3.2), (1.7, 3.2))) Actions: - [00:57.816](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=57.81599999999998): sifat\_6 is shown on the screen, written out. - [01:1.728](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=61.72799999999998): jajar is indicated — a transient flash. ##### [01:3.141](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=63.14099999999999) Narration: Lalu trapesium. Trapesium punya tepat satu pasang sisi sejajar, yaitu sisi atas dan sisi bawah. Board: kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); sifat\_5 — a Text \[text\] that says "Jajar genjang: sisi berhadapan sejajar."; sifat\_6 — a Text \[text\] that says "Sudut berhadapannya sama besar."; jajar — a Polygon \[blue\] labelled "upright("jajar genjang")" drawn in kanvas (vertices=((1.1, 1.1), (3.3, 1.1), (3.9, 3.2), (1.7, 3.2))) Actions: - [01:3.721](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=63.72099999999998): trapesium is shown on the screen, written out. - [01:6.926](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=66.92599999999999): sifat\_7 is shown on the screen, written out. ##### [01:11.368](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=71.3685) Narration: Kalau kedua kakinya sama panjang, bangunnya disebut trapesium sama kaki. Board: kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); sifat\_5 — a Text \[text\] that says "Jajar genjang: sisi berhadapan sejajar."; sifat\_6 — a Text \[text\] that says "Sudut berhadapannya sama besar."; sifat\_7 — a Text \[text\] that says "Trapesium: satu pasang sisi sejajar."; jajar — a Polygon \[blue\] labelled "upright("jajar genjang")" drawn in kanvas (vertices=((1.1, 1.1), (3.3, 1.1), (3.9, 3.2), (1.7, 3.2))); trapesium — a Polygon \[green\] labelled "upright("trapesium")" drawn in kanvas (vertices=((5.1, 1.1), (8.1, 1.1), (7.4, 3.2), (5.8, 3.2))) Actions: - [01:12.251](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=72.25099999999999): sifat\_8 is shown on the screen, written out. - [01:15.026](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=75.02599999999998): trapesium is indicated — a transient flash. - [01:16.036](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=76.036): sifat\_5 is hidden from the screen — left the board. - [01:16.036](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=76.036): sifat\_6 is hidden from the screen — left the board. - [01:16.036](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=76.036): sifat\_7 is hidden from the screen — left the board. - [01:16.036](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=76.036): sifat\_8 is hidden from the screen — left the board. ##### [01:16.636](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=76.636) Narration: Sekarang belah ketupat. Keempat sisinya sama panjang, seperti persegi yang dimiringkan. Board: kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); jajar — a Polygon \[blue\] labelled "upright("jajar genjang")" drawn in kanvas (vertices=((1.1, 1.1), (3.3, 1.1), (3.9, 3.2), (1.7, 3.2))); trapesium — a Polygon \[green\] labelled "upright("trapesium")" drawn in kanvas (vertices=((5.1, 1.1), (8.1, 1.1), (7.4, 3.2), (5.8, 3.2))) Actions: - [01:16.636](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=76.636): jajar is hidden from the screen. - [01:16.636](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=76.636): trapesium is hidden from the screen. - [01:17.379](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=77.37899999999999): ketupat is shown on the screen, written out. - [01:19.387](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=79.387): sifat\_9 is shown on the screen, written out. ##### [01:23.563](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=83.56299999999999) Narration: Kedua diagonalnya berpotongan tegak lurus, dan saling membagi dua sama panjang. Board: kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); sifat\_9 — a Text \[text\] that says "Belah ketupat: empat sisi sama panjang."; ketupat — a Polygon \[blue\] labelled "upright("belah ketupat")" drawn in kanvas (vertices=((2.4, 3.4), (3.7, 2.2), (2.4, 1.0), (1.1, 2.2))) Actions: - [01:24.364](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=84.36399999999999): diagonal\_bk1 is shown on the screen, written out. - [01:24.67](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=84.66969948186527): diagonal\_bk2 is shown on the screen, written out. - [01:27.278](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=87.27799999999999): sifat\_10 is shown on the screen, written out. ##### [01:29.689](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=89.689) Narration: Layang-layang punya dua pasang sisi sama panjang yang berdekatan. Diagonalnya juga tegak lurus, tetapi hanya satu yang membagi dua sama panjang. Board: kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); sifat\_9 — a Text \[text\] that says "Belah ketupat: empat sisi sama panjang."; sifat\_10 — a Text \[text\] that says "Diagonalnya tegak lurus dan membagi dua."; ketupat — a Polygon \[blue\] labelled "upright("belah ketupat")" drawn in kanvas (vertices=((2.4, 3.4), (3.7, 2.2), (2.4, 1.0), (1.1, 2.2))); diagonal\_bk1 — a Line \[yellow\] drawn in kanvas (start=(2.4, 3.4), end=(2.4, 1.0), dashed=True); diagonal\_bk2 — a Line \[red\] drawn in kanvas (start=(1.1, 2.2), end=(3.7, 2.2), dashed=True) Actions: - [01:30.095](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=90.09499999999998): layang is shown on the screen, written out. - [01:32.615](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=92.61499999999998): sifat\_11 is shown on the screen, written out. - [01:34.066](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=94.06599999999997): diagonal\_ly1 is shown on the screen, written out. - [01:34.396](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=94.39648678885978): diagonal\_ly2 is shown on the screen, written out. - [01:35.401](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=95.40099999999998): sifat\_12 is shown on the screen, written out. - [01:39.209](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.20899999999999): sifat\_10 is hidden from the screen — left the board. - [01:39.209](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.20899999999999): sifat\_11 is hidden from the screen — left the board. - [01:39.209](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.20899999999999): sifat\_12 is hidden from the screen — left the board. - [01:39.209](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.20899999999999): sifat\_9 is hidden from the screen — left the board. ##### [01:39.809](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.809) Narration: Segitiga punya tiga sisi dan tiga sudut. Jumlah ketiga sudutnya selalu seratus delapan puluh derajat. Board: kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); ketupat — a Polygon \[blue\] labelled "upright("belah ketupat")" drawn in kanvas (vertices=((2.4, 3.4), (3.7, 2.2), (2.4, 1.0), (1.1, 2.2))); diagonal\_bk1 — a Line \[yellow\] drawn in kanvas (start=(2.4, 3.4), end=(2.4, 1.0), dashed=True); diagonal\_bk2 — a Line \[red\] drawn in kanvas (start=(1.1, 2.2), end=(3.7, 2.2), dashed=True); layang — a Polygon \[green\] labelled "upright("layang-layang")" drawn in kanvas (vertices=((6.6, 3.5), (7.7, 2.4), (6.6, 0.9), (5.5, 2.4))); diagonal\_ly1 — a Line \[yellow\] drawn in kanvas (start=(6.6, 3.5), end=(6.6, 0.9), dashed=True); diagonal\_ly2 — a Line \[red\] drawn in kanvas (start=(5.5, 2.4), end=(7.7, 2.4), dashed=True) Actions: - [01:39.809](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.809): ketupat is hidden from the screen. - [01:39.809](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.809): diagonal\_bk1 is hidden from the screen. - [01:39.809](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.809): diagonal\_bk2 is hidden from the screen. - [01:39.809](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.809): layang is hidden from the screen. - [01:39.809](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.809): diagonal\_ly1 is hidden from the screen. - [01:39.809](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=99.809): diagonal\_ly2 is hidden from the screen. - [01:40.157](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=100.15699999999998): segitiga is shown on the screen, written out. - [01:42.247](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=102.24699999999999): sifat\_13 is shown on the screen, written out. - [01:43.559](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=103.55899999999998): sifat\_14 is shown on the screen, written out. ##### [01:47.793](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=107.79299999999999) Narration: Segitiga dibedakan dari sisinya, yaitu sama sisi, sama kaki, atau sembarang. Bisa juga dari sudutnya, yaitu lancip, siku-siku, atau tumpul. Board: kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); sifat\_13 — a Text \[text\] that says "Segitiga: tiga sisi dan tiga sudut."; sifat\_14 — a Text \[text\] that says "Jumlah sudut segitiga $= 180 degree$."; segitiga — a Polygon \[blue\] labelled "upright("segitiga")" drawn in kanvas (vertices=((1.2, 1.0), (3.6, 1.0), (2.4, 3.2))) Actions: - [01:49.233](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=109.23299999999998): segitiga is indicated — a transient flash. ##### [01:59.922](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=119.922) Narration: Terakhir lingkaran. Semua titik pada lingkaran berjarak sama dari pusatnya. Jarak itu disebut jari-jari. Board: Unchanged from the preceding beat in this scene. Actions: - [02:0.851](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=120.85099999999998): lingkaran is shown on the screen, written out. - [02:3.208](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=123.20799999999998): sifat\_15 is shown on the screen, written out. - [02:4.171](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=124.17099999999998): pusat is shown on the screen, written out. - [02:6.528](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=126.52799999999999): jari is shown on the screen, written out. ##### [02:8.023](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=128.0225) Narration: Garis yang melewati pusat dan menghubungkan dua titik pada lingkaran disebut diameter. Panjang diameter dua kali jari-jari. Board: kanvas — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 4.6), aspect=(9.0, 4.6)); sifat\_13 — a Text \[text\] that says "Segitiga: tiga sisi dan tiga sudut."; sifat\_14 — a Text \[text\] that says "Jumlah sudut segitiga $= 180 degree$."; sifat\_15 — a Text \[text\] that says "Lingkaran: jarak ke pusat selalu sama."; segitiga — a Polygon \[blue\] labelled "upright("segitiga")" drawn in kanvas (vertices=((1.2, 1.0), (3.6, 1.0), (2.4, 3.2))); lingkaran — a Circle \[green\] labelled "upright("lingkaran")" drawn in kanvas (center=(6.6, 2.2), radius=1.15); pusat — a Point \[text\] labelled "O" drawn in kanvas (location=(6.6, 2.2)); jari — a Line \[yellow\] labelled "r" drawn in kanvas (start=(6.6, 2.2), end=(7.75, 2.2)) Actions: - [02:8.023](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=128.0225): jari is hidden from the screen. - [02:12.051](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=132.051): diameter is shown on the screen, written out. - [02:13.247](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=133.247): sifat\_16 is shown on the screen, written out. - [02:16.152](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=136.15204166666666): kanvas is hidden from the screen — left the board. - [02:16.152](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=136.15204166666666): segitiga is hidden from the screen — kanvas left the board. - [02:16.152](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=136.15204166666666): lingkaran is hidden from the screen — kanvas left the board. - [02:16.152](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=136.15204166666666): pusat is hidden from the screen — kanvas left the board. - [02:16.152](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=136.15204166666666): diameter is hidden from the screen — kanvas left the board. - [02:16.152](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=136.15204166666666): sifat\_13 is hidden from the screen — left the board. - [02:16.152](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=136.15204166666666): sifat\_14 is hidden from the screen — left the board. - [02:16.152](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=136.15204166666666): sifat\_15 is hidden from the screen — left the board. - [02:16.152](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=136.15204166666666): sifat\_16 is hidden from the screen — left the board. ### Scene 2: [Keliling dan Luas](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=137.19370833333335) Span: 02:17.194–04:17.592 (137.19370833333335s–257.5923125s). #### Objects - bulat: a Circle \[green\] drawn in papan (center=(4.5, 2.5), radius=1.6) - d\_dua: a Line \[red\] labelled "d\_2" drawn in papan (start=(1.8, 2.4), end=(6.2, 2.4), dashed=True) - d\_satu: a Line \[yellow\] labelled "d\_1" drawn in papan (start=(4.0, 4.4), end=(4.0, 0.4), dashed=True) - jajar: a Polygon \[blue\] drawn in papan (vertices=((1.2, 1.0), (5.2, 1.0), (6.2, 3.6), (2.2, 3.6))) - jari: a Line \[yellow\] labelled "r" drawn in papan (start=(4.5, 2.5), end=(6.1, 2.5)) - judul: a Heading that says "Keliling dan Luas Bangun Datar" - ketupat: a Polygon \[blue\] drawn in papan (vertices=((4.0, 4.4), (6.2, 2.4), (4.0, 0.4), (1.8, 2.4))) - kotak: a Gridlines \[gray\] drawn in papan (x\_range=(1.0, 6.0), y\_range=(1.0, 4.0), step=1.0) - label\_l: a Math \[text\] that says "$l = 3$" drawn in papan - label\_p: a Math \[text\] that says "$p = 5$" drawn in papan - label\_s: a Math \[text\] that says "$s$" drawn in papan - nilai\_pi: a Math \[text\] that says "$pi approx 3.14$" drawn in papan - papan: a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)) - persegi: a Polygon \[green\] drawn in papan (vertices=((1.0, 1.0), (3.6, 1.0), (3.6, 3.6), (1.0, 3.6))) - pp: a Polygon \[blue\] drawn in papan (vertices=((1.0, 1.0), (6.0, 1.0), (6.0, 4.0), (1.0, 4.0))) - rumus: a Table \[text\] that says "Bangun Keliling Luas Persegi panjang $2(p + l)$ $p times l$ Persegi $4 s$ $s times s$ Segitiga jumlah sisi $frac(1, 2) a t$ Jajar genjang jumlah sisi $a times t$ Trapesium jumlah sisi $frac(1, 2) (a + b) t$ Belah ketupat $4 s$ $frac(1, 2) …" (rows=(('Bangun', 'Keliling', 'Luas'), ('Persegi panjang', '$2(p + l)…, header=True) - segitiga: a Polygon \[green\] drawn in papan (vertices=((1.0, 1.0), (6.0, 1.0), (3.0, 4.0))) - sisi\_atas: a Line \[yellow\] drawn in papan (start=(6.0, 4.0), end=(1.0, 4.0)) - sisi\_bawah: a Line \[yellow\] drawn in papan (start=(1.0, 1.0), end=(6.0, 1.0)) - sisi\_kanan: a Line \[yellow\] drawn in papan (start=(6.0, 1.0), end=(6.0, 4.0)) - sisi\_kiri: a Line \[yellow\] drawn in papan (start=(1.0, 4.0), end=(1.0, 1.0)) - tinggi\_jajar: a Line \[yellow\] labelled "t" drawn in papan (start=(2.2, 3.6), end=(2.2, 1.0), dashed=True) - tinggi\_seg: a Line \[yellow\] labelled "t" drawn in papan (start=(3.0, 4.0), end=(3.0, 1.0), dashed=True) - tinggi\_trap: a Line \[yellow\] labelled "t" drawn in papan (start=(2.0, 4.0), end=(2.0, 1.0), dashed=True) - trapesium: a Polygon \[green\] drawn in papan (vertices=((1.0, 1.0), (7.0, 1.0), (6.0, 4.0), (2.0, 4.0))) #### Beats ##### [02:17.194](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=137.19370833333335) Narration: Sekarang kita berhitung. Dua hal yang paling sering ditanyakan adalah keliling dan luas. Keliling itu panjang tepinya, luas itu daerah di dalamnya. Board: Empty. Actions: - [02:17.194](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=137.19370833333335): papan is shown on the screen, written out. - [02:21.675](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=141.67470833333334): papan moves to a new place on the board. - [02:21.675](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=141.67470833333334): rumus is shown on the screen, written out. ##### [02:28.301](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=148.30070833333335) Narration: Lihat persegi panjang ini. Panjangnya lima satuan dan lebarnya tiga satuan. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)) Actions: - [02:28.835](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=148.83470833333334): pp is shown on the screen, written out. - [02:29.636](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=149.63570833333335): kotak is shown on the screen, written out. - [02:30.391](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=150.39070833333335): label\_p is shown on the screen, written out. - [02:32.028](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=152.02770833333335): label\_l is shown on the screen, written out. ##### [02:34.439](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=154.43920833333334) Narration: Untuk mencari keliling, kita berjalan mengelilingi tepinya. Lima, lalu tiga, lalu lima, lalu tiga. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)); pp — a Polygon \[blue\] drawn in papan (vertices=((1.0, 1.0), (6.0, 1.0), (6.0, 4.0), (1.0, 4.0))); kotak — a Gridlines \[gray\] drawn in papan (x\_range=(1.0, 6.0), y\_range=(1.0, 4.0), step=1.0); label\_p — a Math \[text\] that says "$p = 5$" drawn in papan; label\_l — a Math \[text\] that says "$l = 3$" drawn in papan Actions: - [02:38.712](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=158.71170833333335): sisi\_bawah is shown on the screen, written out. - [02:38.712](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=158.71170833333335): sisi\_atas is shown on the screen, written out. - [02:39.791](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=159.79070833333336): sisi\_kanan is shown on the screen, written out. - [02:41.846](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=161.84570833333333): sisi\_kiri is shown on the screen, written out. ##### [02:43.177](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=163.17720833333334) Narration: Semuanya enam belas satuan. Rumus cepatnya, keliling persegi panjang sama dengan dua kali panjang ditambah lebar. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)); pp — a Polygon \[blue\] drawn in papan (vertices=((1.0, 1.0), (6.0, 1.0), (6.0, 4.0), (1.0, 4.0))); kotak — a Gridlines \[gray\] drawn in papan (x\_range=(1.0, 6.0), y\_range=(1.0, 4.0), step=1.0); label\_p — a Math \[text\] that says "$p = 5$" drawn in papan; label\_l — a Math \[text\] that says "$l = 3$" drawn in papan; sisi\_bawah — a Line \[yellow\] drawn in papan (start=(1.0, 1.0), end=(6.0, 1.0)); sisi\_kanan — a Line \[yellow\] drawn in papan (start=(6.0, 1.0), end=(6.0, 4.0)); sisi\_atas — a Line \[yellow\] drawn in papan (start=(6.0, 4.0), end=(1.0, 4.0)); sisi\_kiri — a Line \[yellow\] drawn in papan (start=(1.0, 4.0), end=(1.0, 1.0)) Actions: - [02:43.979](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=163.97870833333334): sisi\_bawah is indicated — a transient flash. - [02:44.203](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=164.20311778215225): sisi\_atas is indicated — a transient flash. ##### [02:51.858](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=171.85820833333335) Narration: Sekarang luasnya. Kotak-kotak satuan ini menolong kita. Ada lima kotak dalam satu baris, dan ada tiga baris. Board: Unchanged from the preceding beat in this scene. Actions: - [02:51.858](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=171.85820833333335): sisi\_bawah is hidden from the screen. - [02:51.858](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=171.85820833333335): sisi\_kanan is hidden from the screen. - [02:51.858](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=171.85820833333335): sisi\_atas is hidden from the screen. - [02:51.858](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=171.85820833333335): sisi\_kiri is hidden from the screen. - [02:53.89](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=173.88970833333335): kotak is indicated — a transient flash. ##### [03:0.597](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=180.59720833333336) Narration: Lima kali tiga sama dengan lima belas. Jadi luas persegi panjang adalah panjang kali lebar. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)); pp — a Polygon \[blue\] drawn in papan (vertices=((1.0, 1.0), (6.0, 1.0), (6.0, 4.0), (1.0, 4.0))); kotak — a Gridlines \[gray\] drawn in papan (x\_range=(1.0, 6.0), y\_range=(1.0, 4.0), step=1.0); label\_p — a Math \[text\] that says "$p = 5$" drawn in papan; label\_l — a Math \[text\] that says "$l = 3$" drawn in papan Actions: - [03:3.395](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=183.39470833333334): rumus is shown on the screen, written out. ##### [03:7.06](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=187.06020833333335) Narration: Kalau panjang dan lebarnya sama, bangunnya menjadi persegi. Kelilingnya empat kali sisi, dan luasnya sisi kali sisi. Board: Unchanged from the preceding beat in this scene. Actions: - [03:7.06](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=187.06020833333335): pp is hidden from the screen. - [03:7.06](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=187.06020833333335): kotak is hidden from the screen. - [03:7.06](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=187.06020833333335): label\_p is hidden from the screen. - [03:7.06](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=187.06020833333335): label\_l is hidden from the screen. - [03:10.091](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=190.09070833333334): persegi is shown on the screen, written out. - [03:11.066](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=191.06570833333333): label\_s is shown on the screen, written out. - [03:13.04](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=193.03970833333335): rumus is shown on the screen, written out. ##### [03:15.462](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=195.46220833333334) Narration: Sekarang segitiga. Perhatikan, segitiga ini tepat setengah dari persegi panjang tadi. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)); persegi — a Polygon \[green\] drawn in papan (vertices=((1.0, 1.0), (3.6, 1.0), (3.6, 3.6), (1.0, 3.6))); label\_s — a Math \[text\] that says "$s$" drawn in papan Actions: - [03:15.462](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=195.46220833333334): persegi is hidden from the screen. - [03:15.462](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=195.46220833333334): label\_s is hidden from the screen. - [03:16.113](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=196.11270833333333): segitiga is shown on the screen, written out. - [03:19.967](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=199.96670833333334): pp is shown on the screen, written out. ##### [03:22.006](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=202.00620833333335) Narration: Alasnya lima satuan dan tingginya tiga satuan. Luas segitiga sama dengan setengah kali alas kali tinggi, jadi tujuh setengah satuan. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)); pp — a Polygon \[blue\] drawn in papan (vertices=((1.0, 1.0), (6.0, 1.0), (6.0, 4.0), (1.0, 4.0))); segitiga — a Polygon \[green\] drawn in papan (vertices=((1.0, 1.0), (6.0, 1.0), (3.0, 4.0))) Actions: - [03:23.853](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=203.85270833333334): tinggi\_seg is shown on the screen, written out. - [03:25.71](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=205.70970833333334): rumus is shown on the screen, written out. ##### [03:31.547](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=211.54720833333334) Narration: Untuk kelilingnya, cukup jumlahkan ketiga sisinya. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)); pp — a Polygon \[blue\] drawn in papan (vertices=((1.0, 1.0), (6.0, 1.0), (6.0, 4.0), (1.0, 4.0))); segitiga — a Polygon \[green\] drawn in papan (vertices=((1.0, 1.0), (6.0, 1.0), (3.0, 4.0))); tinggi\_seg — a Line \[yellow\] labelled "t" drawn in papan (start=(3.0, 4.0), end=(3.0, 1.0), dashed=True) Actions: - [03:34.171](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=214.17070833333332): segitiga is indicated — a transient flash. ##### [03:35.467](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=215.46720833333336) Narration: Sekarang jajar genjang. Tingginya diukur tegak lurus dari alas, bukan panjang sisi miringnya. Luasnya alas kali tinggi. Board: Unchanged from the preceding beat in this scene. Actions: - [03:35.467](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=215.46720833333336): pp is hidden from the screen. - [03:35.467](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=215.46720833333336): segitiga is hidden from the screen. - [03:35.467](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=215.46720833333336): tinggi\_seg is hidden from the screen. - [03:36.06](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=216.05970833333333): jajar is shown on the screen, written out. - [03:37.476](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=217.47570833333333): tinggi\_jajar is shown on the screen, written out. - [03:41.958](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=221.95770833333336): rumus is shown on the screen, written out. ##### [03:44.334](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=224.33420833333335) Narration: Berikutnya trapesium. Luasnya setengah kali jumlah kedua sisi sejajar, lalu dikali tinggi. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)); jajar — a Polygon \[blue\] drawn in papan (vertices=((1.2, 1.0), (5.2, 1.0), (6.2, 3.6), (2.2, 3.6))); tinggi\_jajar — a Line \[yellow\] labelled "t" drawn in papan (start=(2.2, 3.6), end=(2.2, 1.0), dashed=True) Actions: - [03:44.334](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=224.33420833333335): jajar is hidden from the screen. - [03:44.334](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=224.33420833333335): tinggi\_jajar is hidden from the screen. - [03:45.031](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=225.03070833333334): trapesium is shown on the screen, written out. - [03:46.424](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=226.42370833333337): rumus is shown on the screen, written out. - [03:49.779](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=229.77870833333336): tinggi\_trap is shown on the screen, written out. ##### [03:51.691](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=231.69070833333336) Narration: Belah ketupat dan layang-layang punya rumus luas yang sama, yaitu setengah kali diagonal pertama kali diagonal kedua. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)); trapesium — a Polygon \[green\] drawn in papan (vertices=((1.0, 1.0), (7.0, 1.0), (6.0, 4.0), (2.0, 4.0))); tinggi\_trap — a Line \[yellow\] labelled "t" drawn in papan (start=(2.0, 4.0), end=(2.0, 1.0), dashed=True) Actions: - [03:51.691](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=231.69070833333336): trapesium is hidden from the screen. - [03:51.691](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=231.69070833333336): tinggi\_trap is hidden from the screen. - [03:52.039](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=232.03870833333335): ketupat is shown on the screen, written out. - [03:55.778](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=235.77770833333335): rumus is shown on the screen, written out. - [03:56.486](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=236.48570833333335): d\_satu is shown on the screen, written out. - [03:56.8](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=236.79986866101035): d\_dua is shown on the screen, written out. - [03:58.297](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=238.29670833333336): rumus is shown on the screen, written out. ##### [03:59.594](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=239.59370833333335) Narration: Terakhir lingkaran. Kelilingnya dua kali pi kali jari-jari, dan luasnya pi kali jari-jari kali jari-jari. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)); ketupat — a Polygon \[blue\] drawn in papan (vertices=((4.0, 4.4), (6.2, 2.4), (4.0, 0.4), (1.8, 2.4))); d\_satu — a Line \[yellow\] labelled "d\_1" drawn in papan (start=(4.0, 4.4), end=(4.0, 0.4), dashed=True); d\_dua — a Line \[red\] labelled "d\_2" drawn in papan (start=(1.8, 2.4), end=(6.2, 2.4), dashed=True) Actions: - [03:59.594](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=239.59370833333335): ketupat is hidden from the screen. - [03:59.594](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=239.59370833333335): d\_satu is hidden from the screen. - [03:59.594](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=239.59370833333335): d\_dua is hidden from the screen. - [04:0.302](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=240.30170833333335): bulat is shown on the screen, written out. - [04:2.973](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=242.97270833333334): jari is shown on the screen, written out. - [04:4.145](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=244.14470833333337): rumus is shown on the screen, written out. ##### [04:7.554](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=247.55420833333335) Narration: Nilai pi yang biasa dipakai adalah tiga koma satu empat. Kalau jari-jarinya kelipatan tujuh, pakai dua puluh dua per tujuh supaya lebih mudah. Board: papan — a Figure (x\_range=(0.0, 9.0), y\_range=(0.0, 5.0), aspect=(9.0, 5.0)); bulat — a Circle \[green\] drawn in papan (center=(4.5, 2.5), radius=1.6); jari — a Line \[yellow\] labelled "r" drawn in papan (start=(4.5, 2.5), end=(6.1, 2.5)) Actions: - [04:9.61](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=249.60970833333334): nilai\_pi is shown on the screen, written out. - [04:13.778](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=253.77770833333335): nilai\_pi becomes "$pi approx frac(22, 7)$". - [04:16.551](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=256.55064583333336): papan is hidden from the screen — left the board. - [04:16.551](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=256.55064583333336): bulat is hidden from the screen — papan left the board. - [04:16.551](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=256.55064583333336): jari is hidden from the screen — papan left the board. - [04:16.551](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=256.55064583333336): nilai\_pi is hidden from the screen — papan left the board. - [04:16.551](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=256.55064583333336): rumus is hidden from the screen — left the board. ### Scene 3: [Simetri Lipat dan Simetri Putar](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=257.5923125) Span: 04:17.592–06:14.753 (257.5923125s–374.7525416666666s). #### Objects - diagonal\_pp: a Line \[red\] drawn in simetri (start=(1.4, 1.6), end=(5.6, 3.4), dashed=True) - jajar: a Polygon \[magenta\] drawn in simetri (vertices=((1.6, 1.4), (4.4, 1.4), (5.4, 3.6), (2.6, 3.6))) - judul\_lipat: a Heading that says "Simetri Lipat" - judul\_putar: a Heading that says "Simetri Putar" - judul\_rangkuman: a Heading that says "Rangkuman Simetri" - kotak: a Polygon \[blue\] drawn in simetri (vertices=((2.2, 1.2), (4.8, 1.2), (4.8, 3.8), (2.2, 3.8))) - lingkar: a Circle \[gray\] drawn in simetri (center=(3.5, 2.5), radius=1.84) - lipat\_a: a Line \[yellow\] drawn in simetri (start=(3.5, 0.9), end=(3.5, 4.1), dashed=True) - lipat\_b: a Line \[yellow\] drawn in simetri (start=(1.9, 2.5), end=(5.1, 2.5), dashed=True) - lipat\_c: a Line \[yellow\] drawn in simetri (start=(1.95, 0.95), end=(5.05, 4.05), dashed=True) - lipat\_d: a Line \[yellow\] drawn in simetri (start=(1.95, 4.05), end=(5.05, 0.95), dashed=True) - lipat\_pp\_a: a Line \[yellow\] drawn in simetri (start=(3.5, 1.3), end=(3.5, 3.7), dashed=True) - lipat\_pp\_b: a Line \[yellow\] drawn in simetri (start=(1.1, 2.5), end=(5.9, 2.5), dashed=True) - panjang: a Polygon \[green\] drawn in simetri (vertices=((1.4, 1.6), (5.6, 1.6), (5.6, 3.4), (1.4, 3.4))) - penanda: a Point \[red\] labelled "0 degree" drawn in simetri (location=((3.5 + (1.84 \* cos(((45.0 + sudut) \* 0.017453292519943295)))),…) - simetri: a Figure (x\_range=(0.0, 7.0), y\_range=(0.0, 5.0), aspect=(7.0, 5.0)) - sudut: a VariableNumber (format\_spec='.0f') - tabel: a Table \[text\] that says "Bangun Lipat Putar Persegi 4 4 Persegi panjang 2 2 Segitiga sama sisi 3 3 Jajar genjang 0 2 Belah ketupat 2 2 Lingkaran tak hingga tak hingga" (rows=(('Bangun', 'Lipat', 'Putar'), ('Persegi', '4', '4'), ('Persegi…, header=True) #### Beats ##### [04:17.592](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=257.5923125) Narration: Sekarang kita bahas simetri. Ada dua macam, simetri lipat dan simetri putar. Keduanya sering muncul dalam soal TKA. Board: Empty. Actions: - [04:17.592](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=257.5923125): judul\_lipat is shown on the screen, written out. - [04:17.592](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=257.5923125): simetri is shown on the screen, written out. - [04:17.592](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=257.5923125): kotak is shown on the screen, written out. ##### [04:26.476](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=266.4763125) Narration: Simetri lipat adalah garis lipatan yang membuat kedua bagian bangun bertumpuk tepat sama. Pada persegi, garis pertama tegak. Board: simetri — a Figure (x\_range=(0.0, 7.0), y\_range=(0.0, 5.0), aspect=(7.0, 5.0)); judul\_lipat — a Heading that says "Simetri Lipat"; kotak — a Polygon \[blue\] drawn in simetri (vertices=((2.2, 1.2), (4.8, 1.2), (4.8, 3.8), (2.2, 3.8))) Actions: - [04:33.204](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=273.2043125): lipat\_a is shown on the screen, written out. ##### [04:34.878](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=274.8783125) Narration: Garis kedua mendatar. Garis ketiga dan keempat melewati diagonalnya. Jadi persegi punya empat simetri lipat. Board: simetri — a Figure (x\_range=(0.0, 7.0), y\_range=(0.0, 5.0), aspect=(7.0, 5.0)); judul\_lipat — a Heading that says "Simetri Lipat"; kotak — a Polygon \[blue\] drawn in simetri (vertices=((2.2, 1.2), (4.8, 1.2), (4.8, 3.8), (2.2, 3.8))); lipat\_a — a Line \[yellow\] drawn in simetri (start=(3.5, 0.9), end=(3.5, 4.1), dashed=True) Actions: - [04:35.383](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=275.3833125): lipat\_b is shown on the screen, written out. - [04:37.055](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=277.0553125): lipat\_c is shown on the screen, written out. - [04:37.659](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=277.6593125): lipat\_d is shown on the screen, written out. ##### [04:42.938](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=282.9378125) Narration: Sekarang persegi panjang. Garis tegak dan garis mendatar membuat kedua bagiannya bertumpuk tepat sama, jadi ada dua. Board: simetri — a Figure (x\_range=(0.0, 7.0), y\_range=(0.0, 5.0), aspect=(7.0, 5.0)); judul\_lipat — a Heading that says "Simetri Lipat"; kotak — a Polygon \[blue\] drawn in simetri (vertices=((2.2, 1.2), (4.8, 1.2), (4.8, 3.8), (2.2, 3.8))); lipat\_a — a Line \[yellow\] drawn in simetri (start=(3.5, 0.9), end=(3.5, 4.1), dashed=True); lipat\_b — a Line \[yellow\] drawn in simetri (start=(1.9, 2.5), end=(5.1, 2.5), dashed=True); lipat\_c — a Line \[yellow\] drawn in simetri (start=(1.95, 0.95), end=(5.05, 4.05), dashed=True); lipat\_d — a Line \[yellow\] drawn in simetri (start=(1.95, 4.05), end=(5.05, 0.95), dashed=True) Actions: - [04:42.938](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=282.9378125): kotak is hidden from the screen. - [04:42.938](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=282.9378125): lipat\_a is hidden from the screen. - [04:42.938](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=282.9378125): lipat\_b is hidden from the screen. - [04:42.938](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=282.9378125): lipat\_c is hidden from the screen. - [04:42.938](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=282.9378125): lipat\_d is hidden from the screen. - [04:43.553](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=283.5533125): panjang is shown on the screen, written out. - [04:45.631](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=285.6313125): lipat\_pp\_a is shown on the screen, written out. - [04:46.478](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=286.4783125): lipat\_pp\_b is shown on the screen, written out. ##### [04:51.549](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=291.5488125) Narration: Bagaimana dengan diagonalnya? Kalau dilipat di garis merah ini, kedua bagiannya tidak bertumpuk. Jadi diagonal persegi panjang bukan simetri lipat. Board: simetri — a Figure (x\_range=(0.0, 7.0), y\_range=(0.0, 5.0), aspect=(7.0, 5.0)); judul\_lipat — a Heading that says "Simetri Lipat"; panjang — a Polygon \[green\] drawn in simetri (vertices=((1.4, 1.6), (5.6, 1.6), (5.6, 3.4), (1.4, 3.4))); lipat\_pp\_a — a Line \[yellow\] drawn in simetri (start=(3.5, 1.3), end=(3.5, 3.7), dashed=True); lipat\_pp\_b — a Line \[yellow\] drawn in simetri (start=(1.1, 2.5), end=(5.9, 2.5), dashed=True) Actions: - [04:52.663](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=292.66331249999996): diagonal\_pp is shown on the screen, written out. - [05:0.094](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=300.0943125): diagonal\_pp is hidden from the screen. ##### [05:2.238](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=302.2383125) Narration: Jajar genjang malah tidak punya simetri lipat sama sekali. Ke arah mana pun dilipat, kedua bagiannya tidak akan pernah bertumpuk. Board: Unchanged from the preceding beat in this scene. Actions: - [05:2.238](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=302.2383125): panjang is hidden from the screen. - [05:2.238](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=302.2383125): lipat\_pp\_a is hidden from the screen. - [05:2.238](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=302.2383125): lipat\_pp\_b is hidden from the screen. - [05:2.911](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=302.9113125): jajar is shown on the screen, written out. - [05:10.609](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=310.6088125): judul\_lipat is hidden from the screen — left the board. ##### [05:11.209](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=311.2088125) Narration: Sekarang simetri putar. Bangun kita putar pada pusatnya, lalu kita hitung berapa kali bangun itu terlihat sama sebelum satu putaran penuh. Board: simetri — a Figure (x\_range=(0.0, 7.0), y\_range=(0.0, 5.0), aspect=(7.0, 5.0)); jajar — a Polygon \[magenta\] drawn in simetri (vertices=((1.6, 1.4), (4.4, 1.4), (5.4, 3.6), (2.6, 3.6))) Actions: - [05:11.209](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=311.2088125): judul\_putar is shown on the screen, written out. - [05:11.209](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=311.2088125): jajar is hidden from the screen. - [05:13.449](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=313.4493125): kotak is shown on the screen, written out. - [05:14.622](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=314.6223125): lingkar is shown on the screen, written out. - [05:15.957](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=315.9573125): penanda is shown on the screen, written out. ##### [05:20.563](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=320.5628125) Narration: Kita mulai dari nol derajat. Titik merah menandai satu pojok persegi. Sekarang putar sembilan puluh derajat. Board: simetri — a Figure (x\_range=(0.0, 7.0), y\_range=(0.0, 5.0), aspect=(7.0, 5.0)); kotak — a Polygon \[blue\] drawn in simetri (vertices=((2.2, 1.2), (4.8, 1.2), (4.8, 3.8), (2.2, 3.8))); judul\_putar — a Heading that says "Simetri Putar"; lingkar — a Circle \[gray\] drawn in simetri (center=(3.5, 2.5), radius=1.84); penanda — a Point \[red\] labelled "0 degree" drawn in simetri (location=((3.5 + (1.84 \* cos(((45.0 + sudut) \* 0.017453292519943295)))),…) Actions: - [05:26.402](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=326.4023125): penanda is redrawn as the numbers it depends on change. - [05:26.402](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=326.4023125): sudut ticks to 90.0. ##### [05:28.419](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=328.4188125) Narration: Titik merah pindah ke pojok berikutnya, dan perseginya terlihat persis sama seperti sebelumnya. Board: Unchanged from the preceding beat in this scene. Actions: - [05:31.959](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=331.9593125): kotak is indicated — a transient flash. ##### [05:34.487](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=334.4868125) Narration: Putar lagi menjadi seratus delapan puluh derajat, lalu dua ratus tujuh puluh, lalu tiga ratus enam puluh. Selalu terlihat sama. Board: Unchanged from the preceding beat in this scene. Actions: - [05:35.81](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=335.8103125): penanda is redrawn as the numbers it depends on change. - [05:35.81](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=335.8103125): sudut ticks to 180.0. - [05:37.993](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=337.9933125): penanda is redrawn as the numbers it depends on change. - [05:37.993](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=337.9933125): sudut ticks to 270.0. - [05:39.723](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=339.7233125): penanda is redrawn as the numbers it depends on change. - [05:39.723](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=339.7233125): sudut ticks to 360.0. ##### [05:43.336](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=343.33631249999996) Narration: Jadi simetri putar persegi tingkat empat, karena dalam satu putaran penuh ia terlihat sama sebanyak empat kali. Board: Unchanged from the preceding beat in this scene. Actions: - [05:48.972](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=348.9723125): penanda is indicated — a transient flash. - [05:49.884](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=349.8838125): simetri moves to a new place on the board. - [05:49.884](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=349.8838125): judul\_putar is hidden from the screen — left the board. ##### [05:50.484](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=350.4838125) Narration: Ini rangkumannya. Untuk persegi, empat dan empat. Untuk persegi panjang, dua dan dua. Board: simetri — a Figure (x\_range=(0.0, 7.0), y\_range=(0.0, 5.0), aspect=(7.0, 5.0)); kotak — a Polygon \[blue\] drawn in simetri (vertices=((2.2, 1.2), (4.8, 1.2), (4.8, 3.8), (2.2, 3.8))); lingkar — a Circle \[gray\] drawn in simetri (center=(3.5, 2.5), radius=1.84); penanda — a Point \[red\] labelled "0 degree" drawn in simetri (location=((3.5 + (1.84 \* cos(((45.0 + sudut) \* 0.017453292519943295)))),…) Actions: - [05:50.484](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=350.4838125): judul\_rangkuman is shown on the screen, written out. - [05:50.919](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=350.9193125): tabel is shown on the screen, written out. - [05:53.079](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=353.0793125): tabel is shown on the screen, written out. - [05:55.993](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=355.9933125): tabel is shown on the screen, written out. ##### [05:57.615](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=357.61481249999997) Narration: Segitiga sama sisi, tiga dan tiga. Jajar genjang tidak punya simetri lipat, tetapi simetri putarnya tingkat dua. Board: simetri — a Figure (x\_range=(0.0, 7.0), y\_range=(0.0, 5.0), aspect=(7.0, 5.0)); kotak — a Polygon \[blue\] drawn in simetri (vertices=((2.2, 1.2), (4.8, 1.2), (4.8, 3.8), (2.2, 3.8))); lingkar — a Circle \[gray\] drawn in simetri (center=(3.5, 2.5), radius=1.84); penanda — a Point \[red\] labelled "0 degree" drawn in simetri (location=((3.5 + (1.84 \* cos(((45.0 + sudut) \* 0.017453292519943295)))),…); judul\_rangkuman — a Heading that says "Rangkuman Simetri" Actions: - [05:58.973](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=358.97331249999996): tabel is shown on the screen, written out. - [06:0.633](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=360.6333125): tabel is shown on the screen, written out. ##### [06:6.168](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=366.16781249999997) Narration: Belah ketupat, dua dan dua. Lingkaran punya simetri lipat dan simetri putar yang tak hingga banyaknya. Board: Unchanged from the preceding beat in this scene. Actions: - [06:6.516](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=366.51631249999997): tabel is shown on the screen, written out. - [06:09](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=369.0003125): tabel is shown on the screen, written out. - [06:13.711](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=373.710875): judul\_rangkuman is hidden from the screen — left the board. - [06:13.711](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=373.710875): simetri is hidden from the screen — left the board. - [06:13.711](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=373.710875): kotak is hidden from the screen — simetri left the board. - [06:13.711](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=373.710875): lingkar is hidden from the screen — simetri left the board. - [06:13.711](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=373.710875): penanda is hidden from the screen — simetri left the board. - [06:13.711](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=373.710875): tabel is hidden from the screen — left the board. ### Scene 4: [Unsur dan Sifat Bangun Ruang](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=374.7525416666666) Span: 06:14.753–08:12.593 (374.7525416666666s–492.5927708333333s). #### Objects - balok: a Solid \[green\] drawn in ruang (upper=\, x\_range=(0.2, 3.0), y\_range=(0.7, 2.3)) - bola: a Sphere \[green\] drawn in ruang (center=(1.6, 1.6, 1.2), radius=1.15, opacity=0.25) - judul\_macam: a Heading that says "Macam Bangun Ruang" - judul\_unsur: a Heading that says "Unsur Bangun Ruang" - kerucut: a Solid \[magenta\] drawn in ruang (upper=\, x\_range=(0.4, 2.8), y\_range=(0.4, 2.8)) - kubus: a Solid \[blue\] drawn in ruang (upper=\, x\_range=(0.4, 2.4), y\_range=(0.4, 2.4)) - limas: a Solid \[red\] drawn in ruang (upper=\, x\_range=(0.4, 2.8), y\_range=(0.4, 2.8)) - prisma: a Solid \[yellow\] drawn in ruang (upper=\, x\_range=(0.4, 2.8), y\_range=(0.4, 2.8)) - ruang: an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)) - tabel: a Table \[text\] that says "Bangun ruang Sisi Rusuk Titik sudut Kubus 6 12 8 Balok 6 12 8 Prisma segitiga 5 9 6 Limas segi empat 5 8 5 Tabung 3 2 0 Kerucut 2 1 1 Bola 1 0 0" (rows=(('Bangun ruang', 'Sisi', 'Rusuk', 'Titik sudut'), ('Kubus', '6…, header=True) - tabung: a Cylinder \[blue\] drawn in ruang (start=(1.6, 1.6, 0.0), end=(1.6, 1.6, 2.2), radius=1.1) - unsur\_1: a Text \[text\] that says "Sisi: bidang yang membatasi bangun." - unsur\_2: a Text \[text\] that says "Rusuk: garis pertemuan dua sisi." - unsur\_3: a Text \[text\] that says "Titik sudut: pertemuan tiga rusuk." - unsur\_4: a Text \[text\] that says "Diagonal sisi dan diagonal ruang." #### Beats ##### [06:14.753](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=374.7525416666666) Narration: Sekarang kita pindah ke bangun ruang. Bangun ruang punya panjang, lebar, dan tinggi. Karena itu bangun ruang punya isi. Board: Empty. Actions: - [06:14.753](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=374.7525416666666): judul\_unsur is shown on the screen, written out. - [06:14.753](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=374.7525416666666): ruang is shown on the screen, written out. - [06:14.753](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=374.7525416666666): kubus is shown on the screen, written out. - [06:19.885](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=379.8845416666666): ruang turns in its own slot. ##### [06:23.718](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=383.7175416666666) Narration: Yang pertama kubus. Bidang datar yang membatasi kubus disebut sisi. Ini salah satu sisinya, yaitu sisi atas. Kubus punya enam sisi. Board: ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); judul\_unsur — a Heading that says "Unsur Bangun Ruang"; kubus — a Solid \[blue\] drawn in ruang (upper=\, x\_range=(0.4, 2.4), y\_range=(0.4, 2.4)) Actions: - [06:27.927](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=387.9265416666666): ruang moves to a new place on the board. - [06:27.927](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=387.9265416666666): unsur\_1 is shown on the screen, written out. - [06:29.796](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=389.7955416666666): A quad of data points in ruang is lit up. - [06:34.811](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=394.8110416666666): ruang: retire a lit plane (unemphasize\_plane). ##### [06:35.411](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=395.4110416666666) Narration: Garis tempat dua sisi bertemu disebut rusuk. Ini salah satu rusuknya. Kubus punya dua belas rusuk yang sama panjang. Board: unsur\_1 — a Text \[text\] that says "Sisi: bidang yang membatasi bangun."; ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); judul\_unsur — a Heading that says "Unsur Bangun Ruang"; kubus — a Solid \[blue\] drawn in ruang (upper=\, x\_range=(0.4, 2.4), y\_range=(0.4, 2.4)) Actions: - [06:37.826](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=397.8255416666666): unsur\_2 is shown on the screen, written out. - [06:38.929](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=398.9285416666666): The segment (0.4, 0.4, 0.0) to (2.4, 0.4, 0.0) in ruang is lit up. - [06:43.364](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=403.3640416666666): ruang: retire a lit segment (unemphasize\_line). ##### [06:43.964](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=403.9640416666666) Narration: Titik tempat tiga rusuk bertemu disebut titik sudut. Kubus punya delapan titik sudut. Board: unsur\_1 — a Text \[text\] that says "Sisi: bidang yang membatasi bangun."; unsur\_2 — a Text \[text\] that says "Rusuk: garis pertemuan dua sisi."; ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); judul\_unsur — a Heading that says "Unsur Bangun Ruang"; kubus — a Solid \[blue\] drawn in ruang (upper=\, x\_range=(0.4, 2.4), y\_range=(0.4, 2.4)) Actions: - [06:45.996](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=405.9955416666666): unsur\_3 is shown on the screen, written out. - [06:48.457](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=408.4565416666666): The point (2.4, 0.4, 0.0) in ruang is lit up. - [06:50.106](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=410.1060416666666): ruang: retire a lit point (unemphasize\_point). ##### [06:50.706](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=410.70604166666664) Narration: Ada juga diagonal. Diagonal sisi menghubungkan dua titik sudut yang terletak pada satu sisi yang sama. Board: unsur\_1 — a Text \[text\] that says "Sisi: bidang yang membatasi bangun."; unsur\_2 — a Text \[text\] that says "Rusuk: garis pertemuan dua sisi."; unsur\_3 — a Text \[text\] that says "Titik sudut: pertemuan tiga rusuk."; ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); judul\_unsur — a Heading that says "Unsur Bangun Ruang"; kubus — a Solid \[blue\] drawn in ruang (upper=\, x\_range=(0.4, 2.4), y\_range=(0.4, 2.4)) Actions: - [06:51.589](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=411.58854166666663): unsur\_4 is shown on the screen, written out. - [06:54.201](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=414.2005416666666): The segment (0.4, 0.4, 2.0) to (2.4, 2.4, 2.0) in ruang is lit up. - [06:58.752](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=418.75154166666664): ruang: retire a lit segment (unemphasize\_line). ##### [06:59.352](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=419.3515416666666) Narration: Diagonal ruang menembus bagian dalam kubus, menghubungkan dua titik sudut yang paling jauh. Board: unsur\_1 — a Text \[text\] that says "Sisi: bidang yang membatasi bangun."; unsur\_2 — a Text \[text\] that says "Rusuk: garis pertemuan dua sisi."; unsur\_3 — a Text \[text\] that says "Titik sudut: pertemuan tiga rusuk."; unsur\_4 — a Text \[text\] that says "Diagonal sisi dan diagonal ruang."; ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); judul\_unsur — a Heading that says "Unsur Bangun Ruang"; kubus — a Solid \[blue\] drawn in ruang (upper=\, x\_range=(0.4, 2.4), y\_range=(0.4, 2.4)) Actions: - [07:1.21](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=421.2095416666666): The segment (0.4, 0.4, 0.0) to (2.4, 2.4, 2.0) in ruang is lit up. - [07:5.975](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=425.9750416666666): ruang moves to a new place on the board. - [07:5.975](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=425.9750416666666): judul\_unsur is hidden from the screen — left the board. - [07:5.975](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=425.9750416666666): unsur\_1 is hidden from the screen — left the board. - [07:5.975](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=425.9750416666666): unsur\_2 is hidden from the screen — left the board. - [07:5.975](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=425.9750416666666): unsur\_3 is hidden from the screen — left the board. - [07:5.975](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=425.9750416666666): unsur\_4 is hidden from the screen — left the board. - [07:5.975](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=425.9750416666666): ruang: retire a lit segment (unemphasize\_line). ##### [07:6.575](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=426.5750416666666) Narration: Sekarang kita lihat macamnya. Kubus punya enam sisi berbentuk persegi, dua belas rusuk sama panjang, dan delapan titik sudut. Board: ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); kubus — a Solid \[blue\] drawn in ruang (upper=\, x\_range=(0.4, 2.4), y\_range=(0.4, 2.4)) Actions: - [07:6.575](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=426.5750416666666): judul\_macam is shown on the screen, written out. - [07:7.626](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=427.6255416666666): tabel is shown on the screen, written out. - [07:9.437](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=429.4365416666666): tabel is shown on the screen, written out. ##### [07:16.387](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=436.3870416666666) Narration: Balok mirip kubus, tetapi sisinya berbentuk persegi panjang. Jumlah unsurnya sama, yaitu enam, dua belas, dan delapan. Board: ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); kubus — a Solid \[blue\] drawn in ruang (upper=\, x\_range=(0.4, 2.4), y\_range=(0.4, 2.4)); judul\_macam — a Heading that says "Macam Bangun Ruang" Actions: - [07:16.387](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=436.3870416666666): kubus is hidden from the screen. - [07:16.794](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=436.7935416666666): balok is shown on the screen, written out. - [07:21.171](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=441.1705416666666): tabel is shown on the screen, written out. ##### [07:26.333](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=446.33304166666665) Narration: Prisma segitiga. Alas dan tutupnya berbentuk segitiga. Ada lima sisi, sembilan rusuk, dan enam titik sudut. Board: ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); judul\_macam — a Heading that says "Macam Bangun Ruang"; balok — a Solid \[green\] drawn in ruang (upper=\, x\_range=(0.2, 3.0), y\_range=(0.7, 2.3)) Actions: - [07:26.333](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=446.33304166666665): balok is hidden from the screen. - [07:26.589](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=446.58854166666663): prisma is shown on the screen, written out. - [07:31.558](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=451.5575416666666): tabel is shown on the screen, written out. ##### [07:36.012](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=456.0120416666666) Narration: Limas segi empat. Alasnya persegi, dan sisi lainnya segitiga yang bertemu di satu puncak. Ada lima sisi, delapan rusuk, dan lima titik sudut. Board: ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); judul\_macam — a Heading that says "Macam Bangun Ruang"; prisma — a Solid \[yellow\] drawn in ruang (upper=\, x\_range=(0.4, 2.8), y\_range=(0.4, 2.8)) Actions: - [07:36.012](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=456.0120416666666): prisma is hidden from the screen. - [07:36.314](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=456.31354166666665): limas is shown on the screen, written out. - [07:43.164](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=463.1635416666666): tabel is shown on the screen, written out. ##### [07:47.218](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=467.21754166666665) Narration: Tabung. Alas dan tutupnya lingkaran, ditambah satu sisi lengkung. Ada tiga sisi, dua rusuk lengkung, dan tidak ada titik sudut. Board: ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); judul\_macam — a Heading that says "Macam Bangun Ruang"; limas — a Solid \[red\] drawn in ruang (upper=\, x\_range=(0.4, 2.8), y\_range=(0.4, 2.8)) Actions: - [07:47.218](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=467.21754166666665): limas is hidden from the screen. - [07:47.305](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=467.30454166666664): tabung is shown on the screen, written out. - [07:53.145](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=473.1445416666666): tabel is shown on the screen, written out. ##### [07:57.628](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=477.6280416666666) Narration: Kerucut. Satu alas lingkaran, satu sisi lengkung, satu rusuk, dan satu titik puncak. Board: ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); judul\_macam — a Heading that says "Macam Bangun Ruang"; tabung — a Cylinder \[blue\] drawn in ruang (start=(1.6, 1.6, 0.0), end=(1.6, 1.6, 2.2), radius=1.1) Actions: - [07:57.628](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=477.6280416666666): tabung is hidden from the screen. - [07:57.704](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=477.70354166666664): kerucut is shown on the screen, written out. - [08:3.067](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=483.06654166666664): tabel is shown on the screen, written out. ##### [08:4.817](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=484.81654166666664) Narration: Terakhir bola. Bola hanya punya satu sisi lengkung, tanpa rusuk dan tanpa titik sudut. Board: ruang — an Axes3D (x\_range=(0.0, 3.2), y\_range=(0.0, 3.2), z\_range=(0.0, 2.6)); judul\_macam — a Heading that says "Macam Bangun Ruang"; kerucut — a Solid \[magenta\] drawn in ruang (upper=\, x\_range=(0.4, 2.8), y\_range=(0.4, 2.8)) Actions: - [08:4.817](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=484.81654166666664): kerucut is hidden from the screen. - [08:5.409](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=485.4085416666666): bola is shown on the screen, written out. - [08:7.185](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=487.18454166666663): tabel is shown on the screen, written out. - [08:11.551](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=491.5511041666666): judul\_macam is hidden from the screen — left the board. - [08:11.551](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=491.5511041666666): ruang is hidden from the screen — left the board. - [08:11.551](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=491.5511041666666): bola is hidden from the screen — ruang left the board. - [08:11.551](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=491.5511041666666): tabel is hidden from the screen — left the board. ### Scene 5: [Volume, Luas Permukaan, dan Latihan](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=492.5927708333333) Span: 08:12.593–11:9.256 (492.5927708333333s–669.255875s). #### Objects - jaring: a Figure (x\_range=(0.0, 6.4), y\_range=(0.0, 4.4), aspect=(6.4, 4.4)) - jawab\_permukaan: a Math \[text\] that says "$L = 208 thin upright("dm")^2$" - jawab\_satu: a Math \[text\] that says "$K = 40 thin upright("m"), quad L = 96 thin upright("m")^2$" - jawab\_volume: a Math \[text\] that says "$V = 192 thin upright("liter")$" - judul\_permukaan: a Heading that says "Luas Permukaan" - judul\_volume: a Heading that says "Volume" - kerja\_keliling: a Derivation \[text\] that says "$K &= 2 times (12 + 8) \\ &= 2 times 20 = 40 thin upright("m")$" - kerja\_luas: a Derivation \[text\] that says "$L &= 12 times 8 \\ &= 96 thin upright("m")^2$" - kerja\_permukaan: a Derivation \[text\] that says "$L &= 2 times (p l + p t + l t) \\ &= 2 times (48 + 32 + 24) \\ &= 208 thin upright("dm")^2$" - kerja\_volume: a Derivation \[text\] that says "$V &= p times l times t \\ &= 8 times 6 times 4 \\ &= 192 thin upright("dm")^3$" - kotak\_ruang: an Axes3D (x\_range=(-0.4, 4.4), y\_range=(-0.4, 3.4), z\_range=(-0.5, 2.4)) - label\_l: a Math \[text\] that says "$l = 3$" drawn in kotak\_ruang - label\_p: a Math \[text\] that says "$p = 4$" drawn in kotak\_ruang - label\_t: a Math \[text\] that says "$t = 2$" drawn in kotak\_ruang - lapangan: a Figure (x\_range=(0.0, 6.0), y\_range=(0.0, 4.4), aspect=(6.0, 4.4)) - lapis\_dua: a Solid \[green\] drawn in kotak\_ruang (upper=\, lower=\, x\_range=(0.0, 4.0)) - lapis\_satu: a Solid \[blue\] drawn in kotak\_ruang (upper=\, x\_range=(0.0, 4.0), y\_range=(0.0, 3.0)) - lp\_balok: a Math \[text\] that says "$L = 2 times (p l + p t + l t)$" - lp\_kubus: a Math \[text\] that says "$L = 6 times s times s$" - luas\_alas: a Math \[text\] that says "$upright("luas alas") = 4 times 3 = 12$" - petak: a Polygon \[green\] drawn in lapangan (vertices=((0.6, 0.7), (5.4, 0.7), (5.4, 3.9), (0.6, 3.9))) - rumus\_balok: a Math \[text\] that says "$V = p times l times t$" - rumus\_kubus: a Math \[text\] that says "$V = s times s times s$" - rumus\_prisma: a Math \[text\] that says "$V = upright("luas alas") times t$" - sisi\_1: a Polygon \[blue\] drawn in jaring (vertices=((0.5, 1.5), (1.7, 1.5), (1.7, 2.7), (0.5, 2.7))) - sisi\_2: a Polygon \[blue\] drawn in jaring (vertices=((1.7, 1.5), (2.9, 1.5), (2.9, 2.7), (1.7, 2.7))) - sisi\_3: a Polygon \[blue\] drawn in jaring (vertices=((2.9, 1.5), (4.1, 1.5), (4.1, 2.7), (2.9, 2.7))) - sisi\_4: a Polygon \[blue\] drawn in jaring (vertices=((4.1, 1.5), (5.3, 1.5), (5.3, 2.7), (4.1, 2.7))) - sisi\_5: a Polygon \[green\] drawn in jaring (vertices=((1.7, 2.7), (2.9, 2.7), (2.9, 3.9), (1.7, 3.9))) - sisi\_6: a Polygon \[green\] drawn in jaring (vertices=((1.7, 0.3), (2.9, 0.3), (2.9, 1.5), (1.7, 1.5))) - soal\_dua: a Text \[text\] that says "Sebuah bak air berbentuk balok dengan panjang 8 dm, lebar 6 dm, dan tinggi 4 dm. Berapa volume dan luas permukaannya?" - soal\_l: a Math \[text\] that says "$l = 6$" drawn in kotak\_ruang - soal\_p: a Math \[text\] that says "$p = 8$" drawn in kotak\_ruang - soal\_satu: a Text \[text\] that says "Sebuah lapangan berbentuk persegi panjang dengan panjang 12 m dan lebar 8 m. Berapa keliling dan luasnya?" - soal\_t: a Math \[text\] that says "$t = 4$" drawn in kotak\_ruang - tumpuk: an Arithmetic \[text\] that says "$upright("lapis bawah") = 12 upright("lapis atas") = 12 upright("seluruhnya") = 24$" (operator='+', operands=('upright("lapis bawah") = 12', 'upright("lapis atas") = 12'), result='upright("seluruhnya") = 24') - ukur\_l: a Math \[text\] that says "$8 thin upright("m")$" drawn in lapangan - ukur\_p: a Math \[text\] that says "$12 thin upright("m")$" drawn in lapangan #### Beats ##### [08:12.593](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=492.5927708333333) Narration: Sekarang bagian yang paling sering keluar dalam TKA, yaitu volume dan luas permukaan. Volume adalah banyaknya ruang yang terisi. Board: Empty. Actions: - [08:12.593](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=492.5927708333333): judul\_volume is shown on the screen, written out. - [08:15.972](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=495.9717708333333): kotak\_ruang is shown on the screen, written out. ##### [08:21.61](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=501.6102708333333) Narration: Ini balok dengan panjang empat satuan, lebar tiga satuan, dan tinggi dua satuan. Kita mulai dari lapisan paling bawah. Board: kotak\_ruang — an Axes3D (x\_range=(-0.4, 4.4), y\_range=(-0.4, 3.4), z\_range=(-0.5, 2.4)); judul\_volume — a Heading that says "Volume" Actions: - [08:22.144](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=502.1437708333333): lapis\_satu is shown on the screen, written out. - [08:22.748](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=502.7477708333333): label\_p is shown on the screen, written out. - [08:24.315](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=504.3147708333333): label\_l is shown on the screen, written out. ##### [08:30.709](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=510.7087708333333) Narration: Lapisan bawah ini seperti persegi panjang, dengan empat kali tiga sama dengan dua belas kubus satuan. Board: kotak\_ruang — an Axes3D (x\_range=(-0.4, 4.4), y\_range=(-0.4, 3.4), z\_range=(-0.5, 2.4)); judul\_volume — a Heading that says "Volume"; lapis\_satu — a Solid \[blue\] drawn in kotak\_ruang (upper=\, x\_range=(0.0, 4.0), y\_range=(0.0, 3.0)); label\_p — a Math \[text\] that says "$p = 4$" drawn in kotak\_ruang; label\_l — a Math \[text\] that says "$l = 3$" drawn in kotak\_ruang Actions: - [08:34.064](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=514.0637708333333): kotak\_ruang moves to a new place on the board. - [08:34.064](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=514.0637708333333): luas\_alas is shown on the screen, written out. - [08:35.446](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=515.4457708333333): lapis\_satu is indicated — a transient flash. ##### [08:37.671](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=517.6712708333333) Narration: Karena tingginya dua satuan, ada dua lapisan seperti itu. Lapis bawah dua belas, lapis atas dua belas. Board: luas\_alas — a Math \[text\] that says "$upright("luas alas") = 4 times 3 = 12$"; kotak\_ruang — an Axes3D (x\_range=(-0.4, 4.4), y\_range=(-0.4, 3.4), z\_range=(-0.5, 2.4)); judul\_volume — a Heading that says "Volume"; lapis\_satu — a Solid \[blue\] drawn in kotak\_ruang (upper=\, x\_range=(0.0, 4.0), y\_range=(0.0, 3.0)); label\_p — a Math \[text\] that says "$p = 4$" drawn in kotak\_ruang; label\_l — a Math \[text\] that says "$l = 3$" drawn in kotak\_ruang Actions: - [08:38.182](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=518.1817708333333): label\_t is shown on the screen, written out. - [08:40.028](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=520.0277708333333): lapis\_dua is shown on the screen, written out. - [08:42.176](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=522.1757708333333): tumpuk is shown on the screen, written out. - [08:43.732](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=523.7317708333333): tumpuk is shown on the screen, written out. ##### [08:46.026](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=526.0262708333333) Narration: Kita jumlahkan bersusun. Dua belas ditambah dua belas sama dengan dua puluh empat. Jadi volume balok adalah panjang kali lebar kali tinggi. Board: luas\_alas — a Math \[text\] that says "$upright("luas alas") = 4 times 3 = 12$"; kotak\_ruang — an Axes3D (x\_range=(-0.4, 4.4), y\_range=(-0.4, 3.4), z\_range=(-0.5, 2.4)); judul\_volume — a Heading that says "Volume"; lapis\_satu — a Solid \[blue\] drawn in kotak\_ruang (upper=\, x\_range=(0.0, 4.0), y\_range=(0.0, 3.0)); label\_p — a Math \[text\] that says "$p = 4$" drawn in kotak\_ruang; label\_l — a Math \[text\] that says "$l = 3$" drawn in kotak\_ruang; label\_t — a Math \[text\] that says "$t = 2$" drawn in kotak\_ruang; lapis\_dua — a Solid \[green\] drawn in kotak\_ruang (upper=\, lower=\, x\_range=(0.0, 4.0)) Actions: - [08:46.676](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=526.6757708333333): tumpuk is shown on the screen, drawn. - [08:47.588](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=527.5882185650887): tumpuk is shown on the screen, drawn. - [08:50.508](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=530.5077708333333): tumpuk is shown on the screen, written out. - [08:51.994](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=531.9937708333333): rumus\_balok is shown on the screen, written out. ##### [08:55.653](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=535.6527708333333) Narration: Pada kubus semua rusuknya sama panjang, jadi volumenya sisi kali sisi kali sisi. Board: luas\_alas — a Math \[text\] that says "$upright("luas alas") = 4 times 3 = 12$"; rumus\_balok — a Math \[text\] that says "$V = p times l times t$"; kotak\_ruang — an Axes3D (x\_range=(-0.4, 4.4), y\_range=(-0.4, 3.4), z\_range=(-0.5, 2.4)); judul\_volume — a Heading that says "Volume"; lapis\_satu — a Solid \[blue\] drawn in kotak\_ruang (upper=\, x\_range=(0.0, 4.0), y\_range=(0.0, 3.0)); label\_p — a Math \[text\] that says "$p = 4$" drawn in kotak\_ruang; label\_l — a Math \[text\] that says "$l = 3$" drawn in kotak\_ruang; label\_t — a Math \[text\] that says "$t = 2$" drawn in kotak\_ruang; lapis\_dua — a Solid \[green\] drawn in kotak\_ruang (upper=\, lower=\, x\_range=(0.0, 4.0)) Actions: - [08:58.631](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=538.6307708333333): rumus\_kubus is shown on the screen, written out. ##### [09:1.541](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=541.5412708333333) Narration: Rumus umumnya, volume prisma dan tabung sama dengan luas alas dikali tinggi. Rumus balok dan kubus hanya bentuk khususnya. Board: luas\_alas — a Math \[text\] that says "$upright("luas alas") = 4 times 3 = 12$"; rumus\_balok — a Math \[text\] that says "$V = p times l times t$"; rumus\_kubus — a Math \[text\] that says "$V = s times s times s$"; kotak\_ruang — an Axes3D (x\_range=(-0.4, 4.4), y\_range=(-0.4, 3.4), z\_range=(-0.5, 2.4)); judul\_volume — a Heading that says "Volume"; lapis\_satu — a Solid \[blue\] drawn in kotak\_ruang (upper=\, x\_range=(0.0, 4.0), y\_range=(0.0, 3.0)); label\_p — a Math \[text\] that says "$p = 4$" drawn in kotak\_ruang; label\_l — a Math \[text\] that says "$l = 3$" drawn in kotak\_ruang; label\_t — a Math \[text\] that says "$t = 2$" drawn in kotak\_ruang; lapis\_dua — a Solid \[green\] drawn in kotak\_ruang (upper=\, lower=\, x\_range=(0.0, 4.0)) Actions: - [09:4.85](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=544.8497708333333): rumus\_prisma is shown on the screen, written out. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): judul\_volume is hidden from the screen — left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): kotak\_ruang is hidden from the screen — left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): lapis\_satu is hidden from the screen — kotak\_ruang left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): label\_p is hidden from the screen — kotak\_ruang left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): label\_l is hidden from the screen — kotak\_ruang left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): label\_t is hidden from the screen — kotak\_ruang left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): lapis\_dua is hidden from the screen — kotak\_ruang left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): luas\_alas is hidden from the screen — left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): rumus\_balok is hidden from the screen — left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): rumus\_kubus is hidden from the screen — left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): rumus\_prisma is hidden from the screen — left the board. - [09:9.692](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=549.6917708333333): tumpuk is hidden from the screen — left the board. ##### [09:10.292](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=550.2917708333333) Narration: Sekarang luas permukaan. Luas permukaan adalah jumlah luas seluruh sisinya. Bayangkan sebuah kubus kita buka menjadi jaring-jaring. Board: Empty. Actions: - [09:10.292](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=550.2917708333333): judul\_permukaan is shown on the screen, written out. - [09:17.989](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=557.9887708333333): jaring is shown on the screen, written out. ##### [09:19.645](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=559.6452708333333) Narration: Ada enam persegi yang sama besar. Mari kita hitung. Satu, dua, tiga, empat, lima, dan enam. Board: jaring — a Figure (x\_range=(0.0, 6.4), y\_range=(0.0, 4.4), aspect=(6.4, 4.4)); judul\_permukaan — a Heading that says "Luas Permukaan" Actions: - [09:23.558](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=563.5577708333333): sisi\_1 is shown on the screen, written out. - [09:24.22](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=564.2197708333333): sisi\_2 is shown on the screen, written out. - [09:24.731](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=564.7307708333333): sisi\_3 is shown on the screen, written out. - [09:25.242](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=565.2417708333332): sisi\_4 is shown on the screen, written out. - [09:25.903](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=565.9027708333333): sisi\_5 is shown on the screen, written out. - [09:26.623](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=566.6227708333333): sisi\_6 is shown on the screen, written out. ##### [09:27.931](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=567.9312708333333) Narration: Karena keenamnya sama, luas permukaan kubus adalah enam kali sisi kali sisi. Board: jaring — a Figure (x\_range=(0.0, 6.4), y\_range=(0.0, 4.4), aspect=(6.4, 4.4)); judul\_permukaan — a Heading that says "Luas Permukaan"; sisi\_1 — a Polygon \[blue\] drawn in jaring (vertices=((0.5, 1.5), (1.7, 1.5), (1.7, 2.7), (0.5, 2.7))); sisi\_2 — a Polygon \[blue\] drawn in jaring (vertices=((1.7, 1.5), (2.9, 1.5), (2.9, 2.7), (1.7, 2.7))); sisi\_3 — a Polygon \[blue\] drawn in jaring (vertices=((2.9, 1.5), (4.1, 1.5), (4.1, 2.7), (2.9, 2.7))); sisi\_4 — a Polygon \[blue\] drawn in jaring (vertices=((4.1, 1.5), (5.3, 1.5), (5.3, 2.7), (4.1, 2.7))); sisi\_5 — a Polygon \[green\] drawn in jaring (vertices=((1.7, 2.7), (2.9, 2.7), (2.9, 3.9), (1.7, 3.9))); sisi\_6 — a Polygon \[green\] drawn in jaring (vertices=((1.7, 0.3), (2.9, 0.3), (2.9, 1.5), (1.7, 1.5))) Actions: - [09:31.496](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=571.4957708333333): jaring moves to a new place on the board. - [09:31.496](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=571.4957708333333): lp\_kubus is shown on the screen, written out. ##### [09:33.982](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=573.9822708333334) Narration: Pada balok, sisinya berpasangan. Ada dua alas, dua sisi depan dan belakang, serta dua sisi samping. Karena itu rumusnya dua kali jumlah ketiga pasangan luas itu. Board: lp\_kubus — a Math \[text\] that says "$L = 6 times s times s$"; jaring — a Figure (x\_range=(0.0, 6.4), y\_range=(0.0, 4.4), aspect=(6.4, 4.4)); judul\_permukaan — a Heading that says "Luas Permukaan"; sisi\_1 — a Polygon \[blue\] drawn in jaring (vertices=((0.5, 1.5), (1.7, 1.5), (1.7, 2.7), (0.5, 2.7))); sisi\_2 — a Polygon \[blue\] drawn in jaring (vertices=((1.7, 1.5), (2.9, 1.5), (2.9, 2.7), (1.7, 2.7))); sisi\_3 — a Polygon \[blue\] drawn in jaring (vertices=((2.9, 1.5), (4.1, 1.5), (4.1, 2.7), (2.9, 2.7))); sisi\_4 — a Polygon \[blue\] drawn in jaring (vertices=((4.1, 1.5), (5.3, 1.5), (5.3, 2.7), (4.1, 2.7))); sisi\_5 — a Polygon \[green\] drawn in jaring (vertices=((1.7, 2.7), (2.9, 2.7), (2.9, 3.9), (1.7, 3.9))); sisi\_6 — a Polygon \[green\] drawn in jaring (vertices=((1.7, 0.3), (2.9, 0.3), (2.9, 1.5), (1.7, 1.5))) Actions: - [09:42.533](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=582.5327708333333): lp\_balok is shown on the screen, written out. - [09:45.714](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=585.7137708333333): jaring is hidden from the screen — left the board. - [09:45.714](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=585.7137708333333): sisi\_1 is hidden from the screen — jaring left the board. - [09:45.714](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=585.7137708333333): sisi\_2 is hidden from the screen — jaring left the board. - [09:45.714](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=585.7137708333333): sisi\_3 is hidden from the screen — jaring left the board. - [09:45.714](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=585.7137708333333): sisi\_4 is hidden from the screen — jaring left the board. - [09:45.714](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=585.7137708333333): sisi\_5 is hidden from the screen — jaring left the board. - [09:45.714](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=585.7137708333333): sisi\_6 is hidden from the screen — jaring left the board. - [09:45.714](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=585.7137708333333): judul\_permukaan is hidden from the screen — left the board. - [09:45.714](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=585.7137708333333): lp\_balok is hidden from the screen — left the board. - [09:45.714](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=585.7137708333333): lp\_kubus is hidden from the screen — left the board. ##### [09:46.314](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=586.3137708333334) Narration: Sekarang latihan seperti soal TKA. Sebuah lapangan berbentuk persegi panjang dengan panjang dua belas meter dan lebar delapan meter. Berapa keliling dan luasnya? Board: Empty. Actions: - [09:46.314](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=586.3137708333334): soal\_satu is shown on the screen, written out. - [09:49.797](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=589.7967708333333): lapangan is shown on the screen, written out. - [09:49.797](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=589.7967708333333): petak is shown on the screen, written out. - [09:52.154](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=592.1537708333333): ukur\_p is shown on the screen, written out. - [09:53.953](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=593.9527708333333): ukur\_l is shown on the screen, written out. ##### [09:58.535](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=598.5347708333334) Narration: Kelilingnya dua kali dua belas ditambah delapan. Dua belas ditambah delapan sama dengan dua puluh, dikali dua menjadi empat puluh meter. Board: lapangan — a Figure (x\_range=(0.0, 6.0), y\_range=(0.0, 4.4), aspect=(6.0, 4.4)); soal\_satu — a Text \[text\] that says "Sebuah lapangan berbentuk persegi panjang dengan panjang 12 m dan lebar 8 m. Berapa keliling dan luasnya?"; petak — a Polygon \[green\] drawn in lapangan (vertices=((0.6, 0.7), (5.4, 0.7), (5.4, 3.9), (0.6, 3.9))); ukur\_p — a Math \[text\] that says "$12 thin upright("m")$" drawn in lapangan; ukur\_l — a Math \[text\] that says "$8 thin upright("m")$" drawn in lapangan Actions: - [09:59.011](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=599.0107708333333): lapangan moves to a new place on the board. - [09:59.011](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=599.0107708333333): kerja\_keliling is shown on the screen, written out. - [10:4.375](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=604.3747708333333): kerja\_keliling is shown on the screen, written out. ##### [10:8.388](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=608.3882708333333) Narration: Luasnya panjang kali lebar, yaitu dua belas kali delapan sama dengan sembilan puluh enam meter persegi. Perhatikan satuannya, luas selalu meter persegi. Board: Unchanged from the preceding beat in this scene. Actions: - [10:8.737](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=608.7367708333333): kerja\_luas is shown on the screen, written out. - [10:13.16](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=613.1597708333333): kerja\_luas is shown on the screen, written out. - [10:15.807](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=615.8067708333333): jawab\_satu is shown on the screen, written out. - [10:19.046](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=619.0462708333333): jawab\_satu is hidden from the screen — left the board. - [10:19.046](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=619.0462708333333): kerja\_keliling is hidden from the screen — left the board. - [10:19.046](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=619.0462708333333): kerja\_luas is hidden from the screen — left the board. - [10:19.046](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=619.0462708333333): lapangan is hidden from the screen — left the board. - [10:19.046](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=619.0462708333333): petak is hidden from the screen — lapangan left the board. - [10:19.046](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=619.0462708333333): ukur\_p is hidden from the screen — lapangan left the board. - [10:19.046](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=619.0462708333333): ukur\_l is hidden from the screen — lapangan left the board. - [10:19.046](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=619.0462708333333): soal\_satu is hidden from the screen — left the board. ##### [10:19.646](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=619.6462708333333) Narration: Soal kedua. Sebuah bak air berbentuk balok dengan panjang delapan desimeter, lebar enam desimeter, dan tinggi empat desimeter. Board: Empty. Actions: - [10:19.646](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=619.6462708333333): soal\_dua is shown on the screen, written out. - [10:23.187](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=623.1867708333333): kotak\_ruang is shown on the screen, written out. - [10:23.187](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=623.1867708333333): lapis\_satu is shown on the screen, written out. - [10:23.187](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=623.1867708333333): lapis\_dua is shown on the screen, written out. - [10:24.221](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=624.2207708333333): soal\_p is shown on the screen, written out. - [10:25.997](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=625.9967708333334): soal\_l is shown on the screen, written out. - [10:27.808](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=627.8077708333333): soal\_t is shown on the screen, written out. ##### [10:29.79](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=629.7897708333333) Narration: Volumenya delapan kali enam kali empat, yaitu seratus sembilan puluh dua desimeter kubik. Board: kotak\_ruang — an Axes3D (x\_range=(-0.4, 4.4), y\_range=(-0.4, 3.4), z\_range=(-0.5, 2.4)); lapis\_satu — a Solid \[blue\] drawn in kotak\_ruang (upper=\, x\_range=(0.0, 4.0), y\_range=(0.0, 3.0)); lapis\_dua — a Solid \[green\] drawn in kotak\_ruang (upper=\, lower=\, x\_range=(0.0, 4.0)); soal\_dua — a Text \[text\] that says "Sebuah bak air berbentuk balok dengan panjang 8 dm, lebar 6 dm, dan tinggi 4 dm. Berapa volume dan luas permukaannya?"; soal\_p — a Math \[text\] that says "$p = 8$" drawn in kotak\_ruang; soal\_l — a Math \[text\] that says "$l = 6$" drawn in kotak\_ruang; soal\_t — a Math \[text\] that says "$t = 4$" drawn in kotak\_ruang Actions: - [10:30.138](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=630.1377708333333): kerja\_volume is shown on the screen, written out. - [10:30.73](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=630.7297708333333): kerja\_volume is shown on the screen, written out. - [10:33.076](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=633.0757708333333): kerja\_volume is shown on the screen, written out. ##### [10:36.27](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=636.2702708333334) Narration: Ingat, satu desimeter kubik sama dengan satu liter. Jadi bak itu memuat seratus sembilan puluh dua liter air. Board: Unchanged from the preceding beat in this scene. Actions: - [10:40.92](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=640.9197708333334): jawab\_volume is shown on the screen, written out. ##### [10:44.318](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=644.3182708333334) Narration: Luas permukaannya dua kali empat puluh delapan ditambah tiga puluh dua ditambah dua puluh empat. Isi kurungnya seratus empat, dikali dua menjadi dua ratus delapan desimeter persegi. Board: kotak\_ruang — an Axes3D (x\_range=(-0.4, 4.4), y\_range=(-0.4, 3.4), z\_range=(-0.5, 2.4)); lapis\_satu — a Solid \[blue\] drawn in kotak\_ruang (upper=\, x\_range=(0.0, 4.0), y\_range=(0.0, 3.0)); lapis\_dua — a Solid \[green\] drawn in kotak\_ruang (upper=\, lower=\, x\_range=(0.0, 4.0)); jawab\_volume — a Math \[text\] that says "$V = 192 thin upright("liter")$"; soal\_dua — a Text \[text\] that says "Sebuah bak air berbentuk balok dengan panjang 8 dm, lebar 6 dm, dan tinggi 4 dm. Berapa volume dan luas permukaannya?"; soal\_p — a Math \[text\] that says "$p = 8$" drawn in kotak\_ruang; soal\_l — a Math \[text\] that says "$l = 6$" drawn in kotak\_ruang; soal\_t — a Math \[text\] that says "$t = 4$" drawn in kotak\_ruang Actions: - [10:44.725](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=644.7247708333333): kerja\_permukaan is shown on the screen, written out. - [10:46.199](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=646.1987708333334): kerja\_permukaan is shown on the screen, written out. - [10:54.001](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=654.0007708333333): kerja\_permukaan is shown on the screen, written out. - [10:55.65](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=655.6497708333334): jawab\_permukaan is shown on the screen, written out. - [10:56.404](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=656.4042708333334): A box is drawn around jawab\_permukaan. ##### [10:57.004](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=657.0042708333333) Narration: Itulah bekal geometri kita. Ingat tiga hal, kenali sifat bangunnya, hafalkan rumusnya, dan periksa satuannya sebelum menulis jawaban. Semangat belajar, teman-teman. Board: kotak\_ruang — an Axes3D (x\_range=(-0.4, 4.4), y\_range=(-0.4, 3.4), z\_range=(-0.5, 2.4)); lapis\_satu — a Solid \[blue\] drawn in kotak\_ruang (upper=\, x\_range=(0.0, 4.0), y\_range=(0.0, 3.0)); lapis\_dua — a Solid \[green\] drawn in kotak\_ruang (upper=\, lower=\, x\_range=(0.0, 4.0)); jawab\_volume — a Math \[text\] that says "$V = 192 thin upright("liter")$"; jawab\_permukaan — a Math \[text\] that says "$L = 208 thin upright("dm")^2$"; soal\_dua — a Text \[text\] that says "Sebuah bak air berbentuk balok dengan panjang 8 dm, lebar 6 dm, dan tinggi 4 dm. Berapa volume dan luas permukaannya?"; soal\_p — a Math \[text\] that says "$p = 8$" drawn in kotak\_ruang; soal\_l — a Math \[text\] that says "$l = 6$" drawn in kotak\_ruang; soal\_t — a Math \[text\] that says "$t = 4$" drawn in kotak\_ruang Actions: - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): jawab\_permukaan is hidden from the screen — left the board. - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): jawab\_volume is hidden from the screen — left the board. - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): kerja\_permukaan is hidden from the screen — left the board. - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): kerja\_volume is hidden from the screen — left the board. - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): kotak\_ruang is hidden from the screen — left the board. - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): lapis\_satu is hidden from the screen — kotak\_ruang left the board. - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): lapis\_dua is hidden from the screen — kotak\_ruang left the board. - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): soal\_p is hidden from the screen — kotak\_ruang left the board. - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): soal\_l is hidden from the screen — kotak\_ruang left the board. - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): soal\_t is hidden from the screen — kotak\_ruang left the board. - [11:8.214](https://academa.ai/@pustaka-belajar/lectures/geometri-dasar-untuk-persiapan-tka-sd-bangun-datar-dan-bangun-ruang?t=668.2142083333333): soal\_dua is hidden from the screen — left the board.