Question

the length and breadth of a cuboid are 50cm and 40cm respectively. its volume equal the volume of a cube with side 20 cm. find the height of the cuboid.

Answer 1

$volume \: of \: cube = {side}^{3}$
$= {20}^{3}$
$= 8000 {cm}^{3}$

now,

volume of cube=volume of cuboid

let height be x

$volume \: of \: cuboid \\ = l \times b \times h$
$8000 = 50 \times 40 \times h$
$8000 = 2000 \times h$
$h = \frac{8000}{2000}$

h=4

therefore
the height is 4cm