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)
• 337, 500 ft. 3
• 37, 500 ft. 3
O 112, 500 ft. 3
O 98.33 ft.3
To find the capacity of the trench, we need to calculate the volume of the rectangular pyramid.
The formula for the volume of a pyramid is V = (1/3) * base area * height.
First, we need to calculate the base area of the rectangular pyramid.
The top opening of the trench is 30 ft wide by 250 ft long, so the base area = 30 ft * 250 ft = 7500 ft².
Next, we need to find the height of the pyramid, which is the depth of the trench at the middle, 15 ft.
Now, we can calculate the volume of the trench:
V = (1/3) * 7500 ft² * 15 ft = 37,500 ft³
Therefore, the capacity of the trench is 37,500 ft³.
The correct answer is:
• 37,500 ft³