Question

Diketahui ukuran balok p×l = 135 cm2, p×t = 120cm2, l×t = 72 cm2. Berapakah volume balok tersebut?

Answer 1

P × l = 135
p × t = 120
l × t = 72
pl = 135
pt = 120
lt = 72
t = 72/l
l = 135/p
= p(72/135/p) = 120
p(72 × p/135) = 120
p(72p/135) = 120
72p^2/135 = 120
72p^2 = 120 × 135
72p^2 = 16200
72p^2 = 16200
p^2 = 16200/72
p^2 = 225
p = 15 cm

p = 15
pl = 135
15l = 135
l = 9 cm

lt = 72
9t = 72
t = 8 cm

Volume = p × l × t
= 15 × 9 × 8
= 1.080 cm^3.
Jadi, volume balok tersebut adalah 1.080 cm^3.