Question

a cube with side length s has a volume of 64 cubic units. what is the length of one side?

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: Substitute the given volume into the formula

We know that the volume \( V = 64 \) cubic units. 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 \( 4^3 = 4\times4\times4 = 64 \). So \( s=\sqrt[3]{64} = 4 \).

Answer:

The length of one side is 4 units.