Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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Improve your arithmetic reasoning skills for the Armed Forces Classification Test. Prepare with a variety of questions and detailed explanations to ace your exam!

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

12,000 cubic inches
24,000 cubic inches
27,000 cubic inches
13,824 cubic inches

The correct answer is: 13,824 cubic inches

To determine the volume of a box (or cube) that measures 2 feet on each edge, it's important to first understand how to convert feet to inches, since the final answer is expected in cubic inches. There are 12 inches in a foot. Therefore, to convert the edge length from feet to inches: 2 feet × 12 inches/foot = 24 inches. Now that we have the edge length in inches, we can calculate the volume of the cube using the formula for the volume of a cube, which is side length cubed (V = s³). Substituting the value we found: V = 24 inches × 24 inches × 24 inches V = 24³ cubic inches. Now we calculate 24 cubed: 24 × 24 = 576, and then, 576 × 24 = 13,824 cubic inches. Thus, the correct volume of the box is 13,824 cubic inches. This aligns with the answer provided. Understanding the conversion process and correctly applying the volume formula helps arrive at the correct solution.