Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

What is the volume in cubic inches of a box that is 2ft on each edge?

1. 10,000 cubic inches

2. 12,256 cubic inches

3. 13,824 cubic inches

4. 15,000 cubic inches

The correct answer is: 13,824 cubic inches

To find the volume of a box, we use the formula for the volume of a cube: \( V = s^3 \), where \( s \) is the length of one edge of the cube. In this case, the edge length of the box is given as 2 feet. However, to calculate the volume in cubic inches, we first need to convert feet to inches. There are 12 inches in a foot, so: \[ 2 \text{ ft} = 2 \times 12 \text{ inches} = 24 \text{ inches} \] Now, we can use the edge length in inches to find the volume: \[ V = 24 \text{ inches} \times 24 \text{ inches} \times 24 \text{ inches} = 24^3 \] Calculating \( 24^3 \): \[ 24^3 = 24 \times 24 \times 24 \] First, calculate \( 24 \times 24 = 576 \). Then multiply this result by 24: \[ 576 \times 24 = 13,824 \] Thus, the volume of the box is \( 13,824