Question

A cube-shaped box has a volume of 64 cubic inches. What is the area of one of its faces?

Answer 1

The volume of a cube is given by >>>

$V=s^3$

Where

V is the volume

s is the side length

Given volume = 64, let's find side length >>>

$\begin{gathered} V=s^3 \\ 64=s^3 \\ s=\sqrt[3]{64} \\ s=4 \end{gathered}$

Each face of a cube is a square. The area of a face is given by:

$A=s^2$

So,

$\begin{gathered} A=4^2 \\ A=16in^3 \end{gathered}$Answer

16 cubic inches