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.
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
1 answer
1 answer