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
112,500 ft.3
112,500 feet cubed
98.33 ft.3
98.33 feet cubed
337,500 ft.3
337,500 feet cubed
37,500 ft.3
To find the capacity of the trench, we need to calculate the volume of the pyramid-shaped trench.
The formula for the volume of a pyramid is V = (1/3) * base area * height.
The base area is given as 30 ft. wide by 250 ft. long, so the base area is 30 ft * 250 ft = 7500 ft^2.
The height of the trench is given as 15 ft.
Now, we can calculate the volume:
V = (1/3) * 7500 ft^2 * 15 ft
V = 112,500 ft^3.
Therefore, the capacity of the trench is 112,500 ft^3.