Final answer:
The volume of the rectangular shoebox is 216.5625 cubic inches, calculated using the formula for volume (length × width × height) with measurements of 15 ½ inches by 7 inches by 4 ½ inches.
Step-by-step explanation:
To calculate the volume of a rectangular shoebox, use the formula for the volume of a prism, which is length × width × height. In this case, the shoebox measures 15 ½ inches long, 7 inches wide, and 4 ½ inches tall.
The calculation would look like this:
- V = 15.5 in × 7 in × 4.5 in
- V = 48.125 in² × 4.5 in
- V = 216.5625 in³
The volume of the shoebox is 216.5625 cubic inches. When working with volume, it is critical to ensure all the measurements are in the same units, which they are in this case.