To find the capacity of the trench, we need to calculate the volume of the upside-down rectangular pyramid.
The volume of a pyramid is given by the formula V = (1/3) * base area * height.
First, we need to find the base area of the trench. Since the top opening is a rectangle, the base area is equal to the area of the rectangle, which is length * width.
Base area = 30 ft * 250 ft = 7500 ft²
Now, we can calculate the volume of the upside-down rectangular pyramid:
V = (1/3) * 7500 ft² * 15 ft
V = 112,500 ft³
Therefore, the correct answer is 112,500 ft³.
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
37,500 ft.3
337,500 ft.3
112,500 ft.3
98.33 ft.3
1 answer