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2015-04-01T23:29:47+05:30

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Areas of three adjacent faces are given. let
lh = 108 cm²
⇒ l = 108/h
bh = 72 cm²
⇒ b = 72/h

lb = 96cm²
⇒ (108/h) × (72/h) = 96
⇒ (108×72)/h² = 96
⇒ h² = (108×72)/96
⇒ h² = 81
⇒ h = √81 = 9cm

h = 9cm
l = 108/9 = 12cm
b = 72/9 = 8cm

volume = lbh = 12×8×9 = 864cm³

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