Question

the lateral surface area of a cube is 100 m square the volume of the cube is. need solution ans is 125m^3

Answer 1

I,m sure it helps my answer is 125cm^3

Answer 2

Given that,

Lateral surface area of cube = 100 m²

We need to calculate the length of cube

Using formula of Lateral surface area of cube

$\text{Lateral surface area of cube}=4l^2$

Put the value into the formula

$100=4l^2$

$l^2=\dfrac{100}{4}$

$l=\sqrt{\dfrac{100}{4}}$

$l=5\ m$

We need to calculate the volume of the cube

Using formula of volume of cube

$V=(l)^3$

Put the value into the formula

$V=(5)^3$

$V=125\ m^3$

Hence, The volume of the cube is 125 m³.