Question

If the volume of a cube is 12,167 cubic inches, what is the length of a side of the square?

Answer 1

23 in

Explanation:

Volume of a Cube: V = a³

Step 1: Define

V = 12,167 in³

a = ?

Step 2: Solve for side length a

1. Substitute: 12,167 = a³
2. Cube root both sides: 23 = a
3. Rewrite: a = 23

Step 3: Check

Plug in a to verify it's a solution.

1. Substitute: V = (23 in)³
2. Evaluate: V = 12,167 in³