model bangun ruang claudia kartikasari - geometri suhito
TRANSCRIPT
![Page 1: MODEL BANGUN RUANG CLAUDIA KARTIKASARI - GEOMETRI SUHITO](https://reader033.vdocuments.pub/reader033/viewer/2022050818/55d0796fbb61eb5a318b4765/html5/thumbnails/1.jpg)
A. BANGUN RUANG SISI DATAR1. KUBUS / BIDANG 6 BERATURAN
(HEKSAHEDRON)
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Jumlah Rusuk
Jumlah Sisi (S)
Titik Sudut
S + T = R + 2
6 + 8 = 12 + 2
![Page 2: MODEL BANGUN RUANG CLAUDIA KARTIKASARI - GEOMETRI SUHITO](https://reader033.vdocuments.pub/reader033/viewer/2022050818/55d0796fbb61eb5a318b4765/html5/thumbnails/2.jpg)
2. BALOK / PRISMA SEGIEMPAT
3. LIMASa) LIMAS SEGITIGA / BIDANG 4 BERATURAN
(TETRAHEDRON)
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Jumlah Rusuk (R) = 12
Jumlah Sisi (S)
Titik Sudut
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b) LIMAS SEGIEMPAT
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Jumlah Rusuk (R) = 6
Jumlah Sisi (S) = 4
Titik Sudut (T) = 4
S + T = R + 2
4 + 4 = 6 + 2
Jumlah Rusuk
(R) = 8
Jumlah Sisi
(S) = 5
![Page 4: MODEL BANGUN RUANG CLAUDIA KARTIKASARI - GEOMETRI SUHITO](https://reader033.vdocuments.pub/reader033/viewer/2022050818/55d0796fbb61eb5a318b4765/html5/thumbnails/4.jpg)
c) LIMAS
SEGILIMA
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S + T = R + 2
5 + 5 = 8 + 2
Jumlah Rusuk
(R) = 10
Jumlah Sisi
(S) = 6
Titik Sudut
(T) = 6
![Page 5: MODEL BANGUN RUANG CLAUDIA KARTIKASARI - GEOMETRI SUHITO](https://reader033.vdocuments.pub/reader033/viewer/2022050818/55d0796fbb61eb5a318b4765/html5/thumbnails/5.jpg)
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S + T = R + 2
6 + 6 = 10 + 2
![Page 6: MODEL BANGUN RUANG CLAUDIA KARTIKASARI - GEOMETRI SUHITO](https://reader033.vdocuments.pub/reader033/viewer/2022050818/55d0796fbb61eb5a318b4765/html5/thumbnails/6.jpg)
4. PRISMAa) PRISMA SEGITIGA
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Jumlah Rusuk (R) = 9
Jumlah Sisi (S)
Titik Sudut
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b) PRISMA SEGILIMA
\
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Jumlah Rusuk (R) = 15
Jumlah Sisi (S) = 7
S + T = R + 2
7 + 10 = 15 + 2
![Page 8: MODEL BANGUN RUANG CLAUDIA KARTIKASARI - GEOMETRI SUHITO](https://reader033.vdocuments.pub/reader033/viewer/2022050818/55d0796fbb61eb5a318b4765/html5/thumbnails/8.jpg)
c) PRISMA SEGIENAM
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Jumlah Rusuk (R) = 15
Jumlah Sisi (S) = 7
S + T = R + 2
7 + 10 = 15 + 2
![Page 9: MODEL BANGUN RUANG CLAUDIA KARTIKASARI - GEOMETRI SUHITO](https://reader033.vdocuments.pub/reader033/viewer/2022050818/55d0796fbb61eb5a318b4765/html5/thumbnails/9.jpg)
5. BIDANG 8 BERATURAN (OKTAHEDRON)
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S + T = R + 2
8 + 12 = 18 + 2
Jumlah Rusuk (R) = 18
Jumlah Sisi (S) = 8
Titik Sudut (T) = 12
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6. BIDANG 12 BERATURAN (ISOHEDRON)
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S + T = R + 2
8 + 6 = 12 + 2
Jumlah Rusuk (R) = 12
Jumlah Sisi (S) = 8
Titik Sudut (T) = 6
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7. BIDANG 20 BERATURAN (DODECAHEDRON)
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Jumlah Rusuk (R) = 30
Jumlah Sisi (S) = 12
Titik Sudut (T) =
S + T = R + 2
12 + 20 = 30 + 2
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B. BANGUN RUANG SISI LENGKUNG
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S + T = R + 2
20 + 12 = 30 + 2
Jumlah Rusuk (R) = 30
Jumlah Sisi (S) = 20
Titik Sudut (T) = 12
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1. TABUNG
=
2. KERUCUT
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S + T = R + 1
3 + 0 = 2 + 1
Jumlah Rusuk (R) = 2
Jumlah Sisi (S) = 3
Titik Sudut (T) = 0
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S + T = R + 1
2 + 0 = 1 + 1
Jumlah Rusuk (R) = 1
Jumlah Sisi (S) = 2
Titik Sudut
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TABEL
PENERAPAN RUMUS EULER PADA BANGUN RUANG SISI DATAR
No. Bangun Ruang
Rusuk(R)
Sisi(S)
Titik Sudut(T)
Rumus EulerS + T = R + 2
1.
12 6 8 6 + 8 = 12 + 2
2.
12 6 8 6 + 8 = 12 + 2
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3.
6 4 4 4 + 4 = 6 + 2
4.
8 5 5 5 + 5 = 8 + 2
5.
10 6 6 6 + 6 = 10 + 2
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6.
9 5 6 5 + 6 = 9 + 2
7.
15 7 107 + 10 = 15 +
2
8.
8 12 188 + 12 = 18 +
2
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9.
12 8 6 8 + 6 = 12 + 2
10.
30 12 2012 + 20 = 30 +
2
11.
30 20 1220 + 12 = 30 +
2
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TABEL
PERSAMAAN RUMUS BANGUN RUANG SISI LENGKUNG
No. Bangun Ruang
Rusuk(R)
Sisi(S)
Titik Sudut(T)
PersamaanS + T = R + 1
1.
2 3 0 3 + 0 = 2 + 1
2.
1 2 0 2 + 0 = 1 + 1
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