a construction company is digging 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?
To find the capacity of the trench, we need to calculate the volume of the upside-down rectangular pyramid.
The formula for the volume of a pyramid is given by V = (1/3) * B * h, where B is the area of the base and h is the height.
In this case, the base of the pyramid is a rectangle with dimensions 30 ft by 250 ft. Therefore, the area of the base is A = 30 ft * 250 ft = 7500 ft².
The height of the pyramid is the depth of the trench at its deepest point, which is 15 ft.
Using the formula V = (1/3) * B * h, we can calculate the volume of the trench:
V = (1/3) * 7500 ft² * 15 ft
V = 125,000 ft³
Therefore, the capacity for this trench is 125,000 cubic feet.