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?

Answer 1

To find the volume of the lagoon, we first need to find the volume of the rectangular top. The volume of a rectangular prism is length times width times height, so the volume of the rectangular top is 50 feet * 20 feet * 0 feet = 0 cubic feet.
Next, we need to find the volume of the pyramid shape. The volume of a pyramid is the area of the base times the height divided by 3. Since the base of the pyramid is a rectangle, the area is length times width, so the area of the base is 50 feet * 20 feet = 1000 square feet. The height of the pyramid is 25 feet. So the volume of the pyramid is 1000 square feet * 25 feet / 3 = 8333.33 cubic feet.
Finally, we add the volume of the rectangular top and the volume of the pyramid to find the total volume of the lagoon. 0 cubic feet + 8333.33 cubic feet = <<0+8333.33=8333.33>>8333.33 cubic feet.
So the lagoon holds 8333.33 cubic feet of water. Answer: \boxed{8333.33}.