Question

Find the volume of a cube if its total surface area is $294sqcm$.

Answer 1

Total surface area of cube $=6a^2=294{cm}^2\left(\text{Given}\right)$

Here $a$ is the edge length of cube

Therefore,

$6a^2=294$

$a^2=\frac{294}{6}$

$\Rightarrow a=\sqrt{49}=7cm$

$\therefore$ Volume of cube

$=a^3={\left(7\right)}^3=343{cm}^3$