Question

The total surface area of a cube is $1176c{m}^2$. Find its volume.

Answer 1

Given: Total Surface area of cube $=1176c{m}^2$
Area of one face $=a^2$
There are 6 such faces $=6a^2$
So,
$\Rightarrow 6a^2=1176$

$\Rightarrow a^2=\frac{1176}{6}$

$\Rightarrow a^2=196$

$\Rightarrow a=\sqrt{196}$

$\Rightarrow a=14cm$

Volume of cube $=a^3={14}^3=2744c{m}^3$