Question

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)
Responses

98.33 ft.3

98.33 feet cubed

37,500 ft.3

37,500 feet cubed

337,500 ft.3

337,500 feet cubed

112,500 ft.3

Answer 1

Volume of a rectangular pyramid: V = (1/3) · base area · height.
Base area = 30 ft · 250 ft = 7,500 ft². Height = 15 ft.

V = (1/3) · 7,500 · 15 = 37,500 ft³.

Answer: 37,500 ft³.