A construction company is taking a drainage trench. It makes a shape of an upside down rectangular pyramid. The top opening will be 30 feet wide by 250 feet long and the deepest part in the middle will be 15 feet. What is the capacity for this trench
To find the capacity of the trench, we need to calculate its volume.
The volume of an upside-down rectangular pyramid is given by the formula: V = (1/3) * base_area * height
In this case, the base area is the area of the top opening, which is 30 feet wide by 250 feet long. So, the base area is 30 ft * 250 ft = 7500 sq ft.
The height is the depth of the trench at its deepest point, which is 15 feet.
Substituting the values into the formula, we have:
V = (1/3) * 7500 sq ft * 15 ft
V = 3750 cubic ft
Therefore, the capacity of the drainage trench is 3750 cubic feet.