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)
To find the capacity of the trench, we need to calculate the volume of the rectangular pyramid shape. The formula for the volume of a pyramid is:
Volume = (1/3) * base area * height
First, calculate the base area of the pyramid:
Base area = Length * Width
Base area = 30 ft * 250 ft
Base area = 7500 sq ft
Next, calculate the height of the pyramid:
Height = 15 ft
Now, plug these values into the formula for the volume of a pyramid:
Volume = (1/3) * 7500 sq ft * 15 ft
Volume = (1/3) * 112500 cu ft
Volume = 37500 cu ft
Therefore, the capacity of the drainage trench is 37500 cubic feet.