Question

Find the volume of a cube, one face of which has an area of $64m^2$

Answer 1

Given: Area of one face of cube $=64m^2$

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

$\Rightarrow$Area of one face of cube $=a^2$

According to question,
$a^2=64$
$a=\sqrt{64}$
$a=8$

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

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