jaring-jaring dan model bangun ruang nur hasma (1401512034) - geometri - suhito
TRANSCRIPT
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ALAT PERAGA GEOMETRI SMP
JARING-JARING DAN MODEL BANGUN RUANG
Dosen pengampu : Drs Suhito, M.Pd
Disusun oleh :
Nur hasma 1401512034
Pendidikan matematika
Fakultas matematika & ipa
Universitas negeri semarang
Tahun 2015
BANGUN RUANG BERSISI DATAR
1. Jaring-jaring dan Model Kubus
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Jaring-jaring Kubus
Pola 141
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Pola 231
Pola 222
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Pola 33
Model Kubus
2. Jaring-jaring dan Model Balok
Jaring-jaring Balok
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Model Balok
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3. Jaring-jaring dan Model Prisma
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Jaring Prisma Sisi 3 Beraturan
Model Prisma Sisi 3
Jaring-jaring Prisma Sisi 4
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Model Prisma Sisi 4
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Jaring Prisma Sisi 5 Beraturan
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Model Prisma Sisi 5
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Jaring Prisma Sisi 6 Beraturan
Model Prisma Sisi 6
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4. Jaring-jaring dan Model Limas
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Jaring-jaring Limas Sisi 4
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Model Limas Sisi 4
Jaring Limas Sisi 5 Beraturan
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Model Limas Sisi 5
5. Jaring dan Model Bidang n Beraturan
Jaring Bidang 4 Beraturan
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Model Bidang 4 Beraturan
Jaring dan Model Bidang 6 Beraturan
Jaring dan model bidang 6 beraturan dapat juga disebut dengan
kubus, karena bidangnya berjumlah 6.
Jaring Bidang 8 Beraturan
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Model Bidang 8 beraturan
Jaring Bidang 12 Beraturan
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Model Bidang 12 Beraturan
Jaring 20 Beraturan
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Model Bidang 20 Beraturan
BANGUN RUANG BERSISI LENGKUNG
1. Jaring dan Model Tabung
Jaring Tabung
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Model Tabung
2. Jaring dan Model Kerucut
Jaring Kerucut
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Model Kerucut
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Tabel Persamaan Euler Bangun Ruang Sisi Datar
Rumus Euler : S + T = R + 2
No. Nama
Bangun
Ruang
Gambar Banyak
Rusuk (R)
Banyak
Bidang
Sisi (S)
Banyak
Titik
Sudut (T)
Hubungan
jumlah S, T,
R
1. Kubus
Dan bidang
6 beraturan
12 6 8 6 + 8 = 12
+ 2
2. Balok dan
prisma sisi 4
12 6 8 6 + 8 = 12
+ 2
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3. Prisma sisi 3 9 5 6 5 + 6 = 9 +
2
4. Prisma sisi 5 15 7 10 7 + 10 = 15
+ 2
5. Prisma sisi 6 18 8 12 8 + 12 = 18
+ 2
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6. Limas sisi 4 8 5 5 5 + 5 = 8 +
2
7. Limas sisi 5 10 6 6 6 + 6 = 10
+2
8. Bidang 4
beraturan
6 4 4 4 + 4 = 6 +
2
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9. Bidang 8
beraturan
12 8 6 8 + 6 = 12
+ 2
10. Bidang 12
beraturan
30 12 20 12+ 20 =
30 + 2
11. Bidang 20
beraturan
30 20 12 20+ 12 =
30 + 2
Tabel Persamaan Euler Bangun Ruang Sisi Lengkung
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No. Nama
Bangun
Ruang
Gambar Banyak
Rusuk (R)
Banyak
Bidang
Sisi (S)
Banyak
Titik
Sudut (T)
Hubungan
jumlah S, T,
R
1. Tabung 2 3 0 3 + 0 = 2 +
1
2. Kerucut 1 2 0 2 + 0 = 1 +
1
Pada bangun ruang sisi lengkung seperti tabung dan kerucut tidak berlaku S + T = R + 2 namun
berlaku S + T =R + 1 sehingga terdapat hubungan jumlah bidang sisi, titik sudut dan rusuk pada
bangun ruang sisi lengkung.