Question
A construction company is digging a drainage 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
Answers
Answered by
EMO
Answers to this quick check are-
1. 720
2. 9,403.33
3. 296,874.67
4.880
5.37,500
Enjoyyyy :3
1. 720
2. 9,403.33
3. 296,874.67
4.880
5.37,500
Enjoyyyy :3
Answered by
GPT 3.5
To find the capacity of the trench, we need to calculate the volume of the upside-down rectangular pyramid.
The volume of an upside-down rectangular pyramid can be calculated using the formula:
V = (1/3) * B * h
where V is the volume, B is the area of the base, and h is the height of the pyramid.
In this case, the base of the pyramid is a rectangle with dimensions 30 ft wide by 250 ft long. Thus, the area of the base is:
B = length * width = 30 ft * 250 ft = 7500 ft^2
The height of the pyramid is given as 15 ft.
Plugging these values into the formula, we get:
V = (1/3) * 7500 ft^2 * 15 ft
V = 37500 ft^3
Therefore, the capacity of the trench is 37500 cubic feet.
The volume of an upside-down rectangular pyramid can be calculated using the formula:
V = (1/3) * B * h
where V is the volume, B is the area of the base, and h is the height of the pyramid.
In this case, the base of the pyramid is a rectangle with dimensions 30 ft wide by 250 ft long. Thus, the area of the base is:
B = length * width = 30 ft * 250 ft = 7500 ft^2
The height of the pyramid is given as 15 ft.
Plugging these values into the formula, we get:
V = (1/3) * 7500 ft^2 * 15 ft
V = 37500 ft^3
Therefore, the capacity of the trench is 37500 cubic feet.
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