A construction company is digging a drainage trench. It makes the shape of an upside down rectangular pyramid. The top opening will be 30 feet wide by 250 feet long in the deepest part in the middle will be 15 feet. What is the capacity for this trench??
To calculate the capacity of the trench, we need to find the volume.
The volume of a pyramid is given by the formula:
V = (1/3) * base area * height
First, let's calculate the base area of the trench. Since it has an upside-down rectangular shape, we will use the formula:
Base area = length * width
Base area = 250 ft * 30 ft
Base area = 7500 sq ft
Now, let's calculate the height of the pyramid. The deepest part in the middle is 15 feet.
Height = 15 ft
Finally, we can calculate the volume of the trench:
V = (1/3) * base area * height
V = (1/3) * 7500 sq ft * 15 ft
V = 2500 sq ft * 15 ft
V = 37500 cubic ft
Therefore, the capacity of the trench is 37500 cubic feet.