Question

the volume of a cube is 512 in³. how long is each side? each side of the cube is □ in. long.

Explanation:

Step1: Recall the volume formula for a cube

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

Step2: Solve for the side length \( s \)

We know that the volume \( V = 512 \) cubic inches. So we set up the equation \( s^3 = 512 \). To find \( s \), we take the cube root of both sides. The cube root of 512 is 8 because \( 8 \times 8 \times 8 = 512 \), so \( s=\sqrt[3]{512}=8 \).

Answer:

8