Answer:
The length of one side of the jewelry box is 8 inches
Step-by-step explanation:
we know that
The volume of a cube is equal to
[tex]V=b^{3}[/tex]
where
b is the length side of the cube
In this problem we have
[tex]V=512\ in^3[/tex]
substitute in the equation and solve for b
[tex]512=b^{3}[/tex]
so
[tex]b=\sqrt[3]{512}[/tex]
[tex]b=8\ in[/tex]
