Swim Fun is building a new swimming pool in the shape of an upside-down rectangular pyramid. The deepest point in the middle is 12 feet deep and the length of the pool is 25 feet. The pool can hold 1,800 cubic feet of water. How wide is the pool?(1 point)
Responses
18 feet
18 feet
100 feet
100 feet
300 feet
300 feet
600 feet
To find the width of the pool, we need to find the volume of the pool first.
The volume of a pyramid can be found using the formula:
Volume = (1/3) * base area * height
Since the pool is in the shape of an upside-down pyramid, the height is the depth at the deepest point in the middle, which is 12 feet.
The base area of the pyramid can be found by multiplying the length and width of the pool.
So, let's set up the equation using the given information:
Volume = (1/3) * base area * height
1,800 = (1/3) * (25 * width) * 12
Simplifying the equation:
1,800 = 100 * width * 12
1,800 = 1,200 * width
width = 1,800 / 1,200
width = 1.5
Therefore, the width of the pool is 1.5 feet.