model bangun ruang vita ppgt unnes - geometri suhito - 2015
TRANSCRIPT
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OLEH:LISMA VITA NATALIA LUBIS
(1401512002)
PENDIDIKAN GURU SEKOLAH DASARFAKULTAS ILMU PENDIDIKAN
UNIVERSITAS NEGERI SEMARANG2015
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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A. BANGUN RUANG SISI DATAR1. KUBUS / BIDANG 6 BERATURAN
(HEKSAHEDRON)
2. BALOK / PRISMA SEGIEMPAT
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
Jumlah Rusuk (R) = 12
Jumlah Sisi (S) = 6
Jumlah Rusuk (R) = 12Jumlah Sisi (S) = 6Titik Sudut (T)
S + T = R + 2
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3. LIMASa) LIMAS SEGITIGA / BIDANG 4 BERATURAN
(TETRAHEDRON)
b) LIMAS SEGIEMPAT
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
S + T = R + 26 + 8 = 12 +
2
Jumlah Rusuk (R) = 6Jumlah Sisi (S) = 4Titik Sudut (T) = 4
Jumlah Rusuk (R) = 8Jumlah Sisi (S) = 5Titik Sudut (T)
S + T = R + 2
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c) LIMAS SEGILIMA
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
S + T = R + 25 + 5 = 8 + 2
Jumlah Rusuk
(R) = 10Jumlah
Sisi(S) = 6
Titik Sudut
S + T = R + 26 + 6 = 10 +
2
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4. PRISMAa) PRISMA SEGITIGA
b) PRISMA SEGILIMA
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
Jumlah Rusuk (R) = 9Jumlah Sisi (S) = 5Titik Sudut (T) = 6
S + T = R + 25 + 6 = 9 + 2
S + T = R + 27 + 10 = 15 + 2
Jumlah Rusuk (R) = 15Jumlah Sisi (S) = 7Titik Sudut (T) =
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c) PRISMA SEGIENAM
5. BIDANG 8 BERATURAN (OKTAHEDRON)
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
S + T = R + 28 + 12 = 18 + 2
Jumlah Rusuk (R) = 18Jumlah Sisi (S) = 8Titik Sudut (T) = 12
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6. BIDANG 12 BERATURAN (ISOHEDRON)
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
S + T = R + 28 + 6 = 12 + 2
Jumlah Rusuk (R) = 12Jumlah Sisi (S) = 8Titik Sudut (T)
= 6
Jumlah Rusuk (R) = 30Jumlah Sisi (S) = 12
S + T = R + 212 + 20 = 30 +
2
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7. BIDANG 20 BERATURAN (DODECAHEDRON)
B. BANGUN RUANG SISI LENGKUNG1. TABUNG
2. KERUCUT
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
S + T = R + 220 + 12 = 30 + 2
Jumlah Rusuk (R) = 30Jumlah Sisi (S) = 20Titik Sudut (T) = 12
S + T = R + 13 + 0 = 2 + 1
Jumlah Rusuk (R) = 2
Jumlah Sisi (S) = 3
Titik Sudut (T) = 0
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1. MODEL JARING-JARING KUBUS
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
S + T = R + 12 + 0 = 1 + 1
Jumlah Rusuk (R) = 1Jumlah Sisi (S) = 2Titik Sudut (T)
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2. MODEL JARING-JARING BALOK
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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3. MODEL JARING-JARING LIMAS SEGITIGA
4. MODEL JARING-JARING LIMAS SEGIEMPAT
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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5. MODEL JARING-JARING LIMAS SEGILIMA
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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6. MODEL JARING-JARING PRISMA SEGITIGA
7. MODEL JARING-JARING PRISMA SEGILIMA
8. MODEL JARING-JARING PRISMA SEGIENAM
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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9. MODEL JARING-JARING BIDANG 8 BERATURAN
10. MODEL JARING-JARING BIDANG 12 BERATURAN
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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11. MODEL JARING-JARING BIDANG 20 BERATURA
12. MODEL JARING-JARING TABUNG
13. MODEL JARING-JARING KERUCUT
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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TABELPENERAPAN 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
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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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
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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6.
9 5 6 5 + 6 = 9 + 2
7.
15 7 10 7 + 10 = 15 + 2
8.
8 12 18 8 + 12 = 18 + 2
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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9.
12 8 6 8 + 6 = 12 + 2
10.
30 12 20 12 + 20 = 30 + 2
11.
30 20 12 20 + 12 = 30 + 2
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012
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TABELPERSAMAAN 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
Matematika GEOMETRI | Lisma Vita Natalia Lubis PPGT 2012