To find the volume of the lagoon, we need to find the volume of the rectangular top and the volume of the triangular sides.
The volume of the rectangular top is length * width * depth = 50 ft * 20 ft * 25 ft = 25,000 ft^3.
The volume of each triangular side is 1/2 * base * height = 1/2 * 20 ft * 25 ft = 250 ft^2. Since there are four triangular sides, the total volume of the triangular sides is 4 * 250 ft^2 = 1,000 ft^2.
Therefore, the total volume of the lagoon is 25,000 ft^3 + 1,000 ft^3 = 26,000 ft^3.
The correct response is 26,000 ft.3
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)
Responses
95 ft.3
95 feet cubed
25,000 ft.3
25,000 feet cubed
8,333.33 ft.3
8,333.33 feet cubed
75,000 ft.3
1 answer