Overhead Crane Practice Test

What is the volume of an object that is rectangular in shape measuring 5' long, 3' wide, and 2' high?

1. 15 cubic feet

2. 30 cubic feet

3. 20 cubic feet

4. 25 cubic feet

The correct answer is: 30 cubic feet

To find the volume of a rectangular object, you multiply its length, width, and height. In this case, the dimensions provided are 5 feet for length, 3 feet for width, and 2 feet for height. The formula for calculating the volume \( V \) of a rectangular prism is: \[ V = \text{length} \times \text{width} \times \text{height} \] Substituting the provided measurements into this formula gives: \[ V = 5' \times 3' \times 2' \] Calculating this step-by-step: 1. First, multiply the length and width: \( 5' \times 3' = 15 \) square feet. 2. Next, multiply this result by the height: \( 15 \text{ square feet} \times 2' = 30 \) cubic feet. Thus, the total volume of the rectangular object is 30 cubic feet. This confirms that the correct answer is indeed the one that reflects this calculated volume, explaining why it provides the right measure for the volume of the object in question.