Diketahui:
p:l:t = 3:2:2
luas permukaan=144 cm²
Ditanyakan:
volume
Jawab:
luas permukaan = 2(pl+pt+lt)
144 cm² = 2(3x.2x + 3x.2x + 2x.2x)
72 cm² = 6x²+6x²+4x²
72 cm² = 16x²
4,5 cm² = x²
√(45/10) = x
√(9.5/10) = x
3 √(1/2) = x
3/2 √2 = x
p= 3x = 3(3/2 √2) = 9/2 √2 cm
l= 2x = 2(3/2 √2) = 3√2 cm
t= 2x = 2(3/2 √2) = 3√2 cm
volume = plt
= (9/2 √2)(3√2)(3√2) cm³
= (9/2 √2)(18) cm³
= 81√2 cm³
Mapel: Matematika
Kelas: 8
Materi: Bangun Ruang Sisi Datar
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Diketahui:
p:l:t = 3:2:2
luas permukaan=144 cm²
Ditanyakan:
volume
Jawab:
luas permukaan = 2(pl+pt+lt)
144 cm² = 2(3x.2x + 3x.2x + 2x.2x)
72 cm² = 6x²+6x²+4x²
72 cm² = 16x²
4,5 cm² = x²
√(45/10) = x
√(9.5/10) = x
3 √(1/2) = x
3/2 √2 = x
p= 3x = 3(3/2 √2) = 9/2 √2 cm
l= 2x = 2(3/2 √2) = 3√2 cm
t= 2x = 2(3/2 √2) = 3√2 cm
volume = plt
= (9/2 √2)(3√2)(3√2) cm³
= (9/2 √2)(18) cm³
= 81√2 cm³
Mapel: Matematika
Kelas: 8
Materi: Bangun Ruang Sisi Datar