To find the capacity of the trench, we need to find the volume of the upside-down rectangular pyramid.
The formula to find the volume of a rectangular 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 difference between the depth at the deepest part (15 ft) and the height at the top opening (0 ft), which is 15 ft.
Plugging these values into the volume formula, we get:
V = (1/3) * 7500 ft^2 * 15 ft
V = 37500 ft^3.
So, the capacity for this trench is approximately 37,500 ft.3.
The correct answer is:
37,500 ft.3
37,500 feet cubed
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
112,500 ft.3
112,500 feet cubed
337,500 ft.3
1 answer