Question

Find the volume of a cube whose surface area is 64cm square.

Answer 1

Let a be the side length of cube.
Surface area of cube
$6 {a}^{2} = 64 \\ a = \frac{8}{ \sqrt{6} }$
$volume = {a}^{3} = {( \frac{8}{ \sqrt{6} } )}^{3} = \frac{256}{3 \sqrt{6} }$

Answer 2

2,62,144 cm³ is the vol. of the 64cm cube