Question

if the areas of three adjacent faces of a cuboid are 16cm^2, 12cm^2and 27cm^2 , find the volume of the cuboid.

Answer 1

Hi ,

Let the dimensions of the cubiod

are ,

length = l cm

Breadth = b cm

Height = h cm

According to the problem given ,

lb = 16 cm² ,

bh = 12 cm²

lh = 27 cm²

( lb ) ( bh ) ( lh ) = 16 × 12 × 27

l² b² h² = 4 × 4 × 4 × 3 × 3 × 3 × 3

( lbh )² = ( 2 × 2 × 2 × 3 × 3 )²

lbh = 8 × 9

lbh = 72 cm³

Therefore

Volume = lbh = 72 cm³

I hope this helps you.

:)