Question

The volume of cube whose surface area is $384{cm}^2$, is .

Answer 1

Given: Surface area of cube $=384{cm}^2$

Let the side of cube be $acm$
We know that,
Surface area of cube $=6a^2$
$\Rightarrow 384=6a^2$
$\Rightarrow a^2=\frac{384}{6}$
$\Rightarrow a^2=64$
$\Rightarrow a=8$

$\therefore$ Volume of cube $=a^3$
$=(8{)}^3$
$=512{cm}^3$

Hence, the volume of the given cube is $512{cm}^3$.