A construction company is digging a drainage trench. It makes the shape of an upside-down rectangular pyramid. The top opening will be 30 ft. wide by 250 ft. long, and the deepest part in the middle will be 15 ft. What is the capacity for this trench?(1 point)

Question

Responses

37,500 ft.3
37,500 feet cubed

98.33 ft.3
98.33 feet cubed

112,500 ft.3
112,500 feet cubed

337,500 ft.3

Answer 1

To find the capacity of the trench, we need to calculate the volume of the upside-down rectangular pyramid. The formula for the volume of a rectangular pyramid is (length × width × height) ÷ 3.

In this case, the length is 250 ft, the width is 30 ft, and the height is 15 ft.

So, the volume of the trench is (250 ft × 30 ft × 15 ft) ÷ 3 = 37,500 ft³.

Therefore, the correct answer is 37,500 ft.³ or 37,500 feet cubed.