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