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 75,000 ft.3 75,000 feet cubed 95 ft.3 95 feet cubed 25,000 ft.3 25,000 feet cubed 8,333.33 ft.3
To find out how much water the lagoon holds, we need to find the volume of the shape.
The volume of an upside-down pyramid is given by the formula:
V = (1/3) * base area * height
First, let's find the base area of the rectangle at the top of the lagoon:
base area = length * width = 50 ft * 20 ft = 1000 ft^2
Next, we need to find the height of the pyramid, which is the depth of the lagoon:
height = 25 ft
Now, we can calculate the volume of the lagoon:
V = (1/3) * 1000 ft^2 * 25 ft = 8,333.33 ft^3
Therefore, the lagoon holds approximately 8,333.33 ft^3 of water.