Question

The volume of a cuboid is 1536 cube m. Its length is 16 m, and its breadth and height are in the ratio 3:2. Find the breadth and height of the cuboid.

Answer 1

Given,

Volume = lbh = 1536 $m^3$

Length = 16m

Let breadth = 3x and height = 2x

Volume of a cuboid = lbh

1536 = 16*3x*2x

1536 = $96x^2$

$x^2$ = 16

x = 4 m

Therefore,

Breadth = 3x = 3*4 m = 12 m

Height = 2x = 2*4 m = 8 m