Question

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

Answer 1

Surface area of a cube $=176c{m}^2$

Let edge of the cube =a

then $6a^2=1176\Rightarrow a^2=\frac{1176}{6}=196$

$\Rightarrow a^2=(14{)}^2\Rightarrow a=14$ cm.

$\therefore$ Volume of cube $=a^3=(14{)}^{3}c{m}^3$

$=14\times 14\times 14c{m}^3=2744c{m}^3$