Jawaban:
5. a. 192 cm²
6. c. 3465 cm³
8. d. 2512 cm³
9. a. 616 cm²
Penjelasan dengan langkah-langkah:
5. Rumus luas prisma segitiga: (2 x luas alas) + (keliling alas x tinggi prisma)
sisi a= 3 cm
sisi b= 4 cm
sisi c= a² + b² = c² = 3² + 4² = 9 + 16 = 25
= √25 = 5 cm
Luas permukaan = (2 × (1/2 × 3 × 4)) + ((3+4+5) × 15) = (2× 6) + (12 × 15) = 12 + 180 cm² = 192 cm²
6. Rumus volume tabung: πr²t
jari-jari: 21 ÷ 2 = 10.5 cm
Volume tabung = 22/7 × 10.5² × 10 = 22/7 × 110.25 × 10 = 346.5 × 10 = 3465 cm³
8. Rumus volume kerucut: 1/3πr²t
Volume kerucut = 1/3 × 3,14 × 10² × 24 = 1/3 × 3,14 × 100 × 24 = 2512 cm³
9. Rumus luas bola: 4πr²
Luas bola = 4 × 22/7 × 7² = 4 × 22/7 × 49 = 616 cm²
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Jawaban:
5. a. 192 cm²
6. c. 3465 cm³
8. d. 2512 cm³
9. a. 616 cm²
Penjelasan dengan langkah-langkah:
5. Rumus luas prisma segitiga: (2 x luas alas) + (keliling alas x tinggi prisma)
sisi a= 3 cm
sisi b= 4 cm
sisi c= a² + b² = c² = 3² + 4² = 9 + 16 = 25
= √25 = 5 cm
Luas permukaan = (2 × (1/2 × 3 × 4)) + ((3+4+5) × 15) = (2× 6) + (12 × 15) = 12 + 180 cm² = 192 cm²
6. Rumus volume tabung: πr²t
jari-jari: 21 ÷ 2 = 10.5 cm
Volume tabung = 22/7 × 10.5² × 10 = 22/7 × 110.25 × 10 = 346.5 × 10 = 3465 cm³
8. Rumus volume kerucut: 1/3πr²t
Volume kerucut = 1/3 × 3,14 × 10² × 24 = 1/3 × 3,14 × 100 × 24 = 2512 cm³
9. Rumus luas bola: 4πr²
Luas bola = 4 × 22/7 × 7² = 4 × 22/7 × 49 = 616 cm²