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
337,500 ft.3
337,500 feet cubed
98.33 ft.3
98.33 feet cubed
37,500 ft.3
37,500 feet cubed
112,500 ft.3
112,500 feet cubed
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 rectangular pyramid is:
Volume = (1/3) * length * width * height
In this case, the length of the top opening is 250 ft, the width is 30 ft, and the height is 15 ft.
Substituting these values into the formula:
Volume = (1/3) * 250 ft * 30 ft * 15 ft
Volume = 112,500 ft^3
So the capacity for this trench is 112,500 ft^3.