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Answer:
64 cm^2
Step-by-step explanation:
The formula for volume of a cube is v = (side length)^3 or [tex]s^{3}[/tex] where s= side length.
To get the length of one side, you need to take the cube root of 512cm^3, which gives you side length = 8
The formula for area of a square is A=s^2 where s= side length.
Plug s=8 into the equation, so A = 8^2 = 64
The area of each side is 64 cm^2