a resort is building a scuba diving lagoon in the shape of a upside down pyarmid the top of the lagoon is a rectangle 50 feet by 20 feet and the deepest point of 25 feet deep how much water dose thelagoon hold
To calculate the volume of the lagoon, we need to find the average depth first. The top of the lagoon is a rectangle with dimensions 50 feet by 20 feet, so its area is 50 feet * 20 feet = 1000 square feet.
The deepest point of the lagoon is 25 feet deep. Since the lagoon is shaped like an upside-down pyramid, we can calculate the average depth by finding the average of the top and bottom depths: (25 feet + 0 feet) / 2 = 12.5 feet.
Now, we can calculate the volume using the formula for the volume of a pyramid: Volume = (1/3) * base area * height.
The base area is calculated by multiplying the area of the top rectangle by the average depth: Base area = 1000 square feet * 12.5 feet = 12500 cubic feet.
Now we can find the volume: Volume = (1/3) * 12500 cubic feet * 25 feet = 104170.83 cubic feet.
Therefore, the lagoon holds approximately 104170.83 cubic feet of water.