a cube has a volume of 512 yd to the 3rd. power find the length of each side

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Sure, I can help with that!

The formula for the volume of a cube is:

Volume = (Length of each side)^3

We are given that the volume of the cube is 512 yd^3. So we can plug that in:

512 = (Length of each side)^3

To solve for the length of each side, we need to find the cube root of both sides of the equation.

∛512 = ∛(Length of each side)^3

8 = Length of each side

So the length of each side of the cube is 8 yards.