Question

Find the volume of a cube whose surface area is $384m^2$.

Answer 1

Given: Surface area of cube $=384m^2$

Consider the length of side of cube to be ${}^{\prime }{a}^{\prime }m$

We know that,
Surface area of cube $=6a^2$

According to question,
$6a^2=384$

$a^2=\frac{384}{6}$

$a^2=64$

$a=\sqrt{64}$

$a=8$

$\therefore$ Volume of cube $=a^3$
$=8\times 8\times 8$
$=512m^3$

Hence, the volume of cube is $512m^3$.