Use the formula for the volume of a right rectangular prism to calculate the volume of a box with dimensions 5 ft.× 2 yd.×16 in.

Responses:
160 feet cubed
160 in cubed
69,120 ft cubed
69,120 in.3

1 answer

To calculate the volume of the box, we need to convert all the dimensions to the same unit. Let's convert inches to feet first.

5 ft. = 5 ft.
2 yd. = 6 ft. (1 yard = 3 feet)
16 in. = 16/12 ft. = 1.33 ft.

Now, we can calculate the volume of the box using the formula for the volume of a right rectangular prism:
Volume = length x width x height
Volume = 5 ft. x 6 ft. x 1.33 ft.
Volume = 39.9 ft.³

Therefore, the volume of the box is 39.9 ft.³.