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

The volume of a cube with side length `s` is given by the formula V = s^3.

In this case, we know that the volume of the cube is 512 yd^3.

Therefore, we can set up an equation:

512 = s^3

To solve for `s`, we can take the cube root of both sides:

s = ∛512

s ≈ 8.

Therefore, the length of each side of the cube is approximately 8 yards.