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) 98.33ft .^ 3; 112.5f * t ^ 3; 500A ^ 3; 500A ^ 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 pyramid is V = (1/3) * base area * height.

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

The height of the trench is the deepest part in the middle, which is 15 ft.

Plugging in these values into the formula, we get V = (1/3) * 7500 ft^2 * 15 ft = 37,500 ft^3.

Therefore, the capacity of the trench is 37,500 ft^3.