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

1 answer

To find the capacity of the trench, we need to calculate the volume. The volume of an upside-down rectangular pyramid is given by the formula V = (1/3) * base area * height.

The base area is the area of the top opening, which is given as 30 ft * 250 ft = 7500 ft^2.

The height is the deepest part in the middle, which is given as 15 ft.

Therefore, the volume is V = (1/3) * 7500 ft^2 * 15 ft = 375,000 ft^3.

So, the capacity for this trench is 375,000 ft^3.

Thus, the correct answer is 375,000 ft.3 or 375,000 feet cubed.