Question

Find the volume of a cube whose surface area is

$\left(ii\right)$ $150m^2$

Answer 1

Given: Surface area of a cube$=150m^2$

We know that,

Surface area of a cube $=6\times (\text{Side}{)}^2$

$\Rightarrow 6\times (\text{Side}{)}^2=150m^2$

$\Rightarrow (\text{Side}{)}^2=25$

$\Rightarrow \text{Side}=\sqrt{25}$

$=5m$

$\therefore$ Volume of a cube $=(\text{side}{)}^3$

$=(5m{)}^3$

$=125m^3$

Hence, the surface area of cube is $125m^3.$