Question

name 1. a cube has a volume of 125 cubic inches. what is the length of each edge?

Explanation:

Step1: Recall the volume formula for a cube

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

Step2: Substitute the given volume into the formula

We know that \( V = 125 \) cubic inches. So we set up the equation \( s^3 = 125 \).

Step3: Solve for \( s \)

To find \( s \), we take the cube root of both sides of the equation. The cube root of 125 is 5 because \( 5^3 = 5\times5\times5 = 125 \). So \( s=\sqrt[3]{125}=5 \).

Answer:

The length of each edge is 5 inches.