What is the volume of a wall that is 8' tall, 20' long, and 4" deep?

To calculate the volume of the wall, it's essential to use the formula for the volume of a rectangular prism, which is volume = height × length × depth.

First, we need to make sure all the dimensions are in the same units. The height is given as 8 feet, the length is 20 feet, and the depth is given in inches (4 inches). We convert the depth from inches to feet by knowing that there are 12 inches in a foot:

4 inches ÷ 12 inches/foot = 1/3 feet or approximately 0.33 feet.

Now, we can plug the values into the volume formula:

Volume = height × length × depth

Volume = 8 feet × 20 feet × (1/3 feet)

Calculating this step by step gives:

Volume = 8 × 20 = 160 square feet

Volume = 160 sq ft × (1/3 ft) = 160/3 = 53.33 cubic feet.

This rounds off to approximately 53.3 cubic feet. Therefore, the volume of the wall is 53.3 ft³, confirming that this is the correct answer.

Understanding the conversion of inches to feet is a critical step in