[tex]\tt Step-by-step~explanation:[/tex]
[tex]\tt Step~1:[/tex]
Let's solve for one side first. The equation to solve for one side with only the volume provided is V ^ 1/3.
[tex]\tt 216^{\frac{1}{3}} \\216^{\frac{1}{3}} =6[/tex]
One side of the cube is 6, so that means all sides of the cube is equal to 6.
[tex]\tt Step~2:[/tex]
To find the area of one side of the cube, we take one side and multiply it by itself, since the formula for solving for the area is length • width.
[tex]\tt 6*6=36[/tex]
[tex]\large\boxed{\tt Our~final~answer:Area~of~one~side=36~in.^2}[/tex]
To check our answer, we can multiply 36 by 6 and see if it equals to 216.
[tex]\tt 36*6=216=correct[/tex]
