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?(1 point)
To find the volume of the lagoon, we need to find the volume of each section and then add them together.
The top rectangle can be seen as a box with a length of 50 feet, width of 20 feet, and height of 0 feet. The volume of this rectangle is 50 x 20 x 0 = 0 cubic feet.
The middle section is shaped like a pyramid with a rectangular base. The base has a length of 50 feet, width of 20 feet, and height of 25 feet. The volume of this pyramid is (1/3) x base area x height = (1/3) x (50 x 20) x 25 = 8,333.33 cubic feet.
The bottom section is again a rectangle with a length of 50 feet, width of 20 feet, and height of 25 feet. The volume of this rectangle is 50 x 20 x 25 = 25,000 cubic feet.
Adding up the volumes of the different sections, we get 0 + 8,333.33 + 25,000 = 33,333.33 cubic feet.
Therefore, the lagoon holds approximately 33,333.33 cubic feet of water.