A resort is building a scuba diving lagoon in the shape of an upside down pyramid. The top of the lagoon is a rectangle that is 50 feet by 20 feet, and the deepest point of the lagoon is in the middle at 25 feet deep. How much water does the lagoon hold?
95 ft.3
75,000 ft.3
8,333.33 ft.3
25,000 ft.3
To find the volume of the lagoon, we need to find the volume of the pyramid and subtract the volume of the top rectangle. The formula for the volume of a pyramid is (1/3) * base area * height.
First, let's find the base area. The top of the lagoon is a rectangle that measures 50 feet by 20 feet. So, the base area is 50 * 20 = 1000 square feet.
The height of the pyramid is the depth of the lagoon, which is 25 feet.
Now, let's calculate the volume of the pyramid. V = (1/3) * base area * height = (1/3) * 1000 * 25 = 8333.33 cubic feet.
Lastly, we need to subtract the volume of the rectangle on top of the lagoon. The volume of the rectangle is length * width * depth = 50 * 20 * 25 = 25,000 cubic feet.
Therefore, the total volume of the lagoon is 8333.33 - 25000 = -16666.67 cubic feet.
However, it's not possible for the volume to be negative, so there may be an error in the calculation or the problem statement. Please double-check the values and dimensions given for a more accurate answer.