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 find the capacity of the trench, we need to calculate the volume of the upside down rectangular pyramid.
First, we need to find the height of the pyramid. Since the deepest part in the middle is 15 feet, the height of the pyramid will be half of that, which is 15/2 = 7.5 feet.
The volume of an upside down rectangular pyramid can be calculated using the formula: volume = (base area * height) / 3.
The base area of the pyramid can be found by multiplying the length and width of the top opening: 30 feet * 250 feet = 7500 square feet.
Now, we can calculate the volume: volume = (7500 square feet * 7.5 feet) / 3 = 18,750 cubic feet.
Therefore, the capacity of the trench is 18,750 cubic feet.