Question

1. a gift box is a cube with a volume of 64 cubic inches. what is the length of each edge of the box?

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 the volume \( V = 64 \) cubic inches. So we set up the equation \( s^3=64 \).

Step3: Solve for \( s \)

To find \( s \), we take the cube root of both sides of the equation. The cube root of 64 is 4, because \( 4\times4\times4 = 64 \), so \( s=\sqrt[3]{64}=4 \).

Answer:

The length of each edge of the box is 4 inches.