Find the side length of the cube & show work
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The volume of a cube is the cube of the length of its sides:
[tex]V=s^3[/tex]
Solving back for s, we can take the cubic root of both sides:
[tex]s=\sqrt[3]{V}[/tex]
So, the side of the cube is
[tex]s = \sqrt[3]{512}=8[/tex]