Question

if the lateral
surface area of a cube is 18 centimetre find its height

Answer 1

Lateral surface area of cube =
$6 {a}^{2}$
Where a is the measure of side.


Now,

A\q
$6 {a}^{2} = 18 \\ {a}^{2} = 3 \\ a = \sqrt{3}$



Therefore,

Length = Breadth =height = measure of side = root 3 here.