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
37,500 feet cubed
112,500 ft.3
112,500 feet cubed
98.33 ft.3
98.33 feet cubed
337,500 ft.3
337,500 feet cubed
To find the capacity of the trench, we need to find its volume. The volume of an upside-down rectangular pyramid is calculated by multiplying the area of the top opening by the height and dividing by 3.
The area of the top opening is given as 30 ft. wide by 250 ft. long, so the 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 of the trench by multiplying the area of the top opening by the height and dividing by 3:
Volume = (7500 ft^2) * (15 ft) / 3 = 37,500 ft^3.
Therefore, the capacity for this trench is 37,500 ft^3.