Volume of Pyramids Quick Check A construction company is digging a drainage trench. It makes the shape of an upside-down rectangular pyramidThe top opening will be 30ft wide by 250ft long and the deepest part in the middle will be 15 ftWhat is the capacity for this trench? (1 point)
To find the capacity of the trench, we need to find the volume of the upside-down rectangular pyramid.
The formula for the volume of a pyramid is:
Volume = (1/3) * base area * height
First, let's find the base area. The base of the pyramid is a rectangle with dimensions 30 ft by 250 ft, so the base area is:
Base area = 30 ft * 250 ft = 7500 ft^2
The height of the pyramid is 15 ft.
Now, we can calculate the volume:
Volume = (1/3) * 7500 ft^2 * 15 ft
= 3750 ft^2 * 15 ft
= 56250 ft^3
Therefore, the capacity of the trench is 56250 ft^3.