Question

1. the volume of a cube is 512 cubic inches. what is the length of each side of the cube?

Explanation:

Step1: Recall volume formula for cube

The volume formula of a cube is $V = s^3$, where $V$ is the volume and $s$ is the side - length.

Step2: Solve for side - length

Given $V = 512$ cubic inches, we need to solve the equation $s^3=512$ for $s$. Taking the cube - root of both sides, $s=\sqrt[3]{512}$. Since $8\times8\times8 = 512$, $\sqrt[3]{512}=8$.

Answer:

8 inches