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)

Answer 1

To find the volume of the lagoon, we need to determine the volume of an upside down pyramid. The formula for the volume of a pyramid is given by:

Volume = (1/3) * base area * height

In this case, the top of the lagoon is a rectangle with dimensions 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 at its deepest point, which is 25 feet.

Plugging in these values into the formula:

Volume = (1/3) * 1000 * 25 = 8,333.33 cubic feet.

Therefore, the lagoon holds approximately 8,333.33 cubic feet of water.