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)

Question

Responses

8,333.33 ft.3
8,333.33 feet cubed

95 ft.3
95 feet cubed

25,000 ft.3
25,000 feet cubed

75,000 ft.3
75,000 feet cubed

Answer 1

To calculate the volume of the lagoon, we need to find the volume of the rectangular top and the volume of the pyramid below it.

The volume of the rectangular top can be found by multiplying its length, width, and depth.
Volume = length * width * depth = 50 ft * 20 ft * 25 ft = 25000 ft^3.

The volume of the pyramid can be calculated by multiplying the area of the base (length * width) with the height and then dividing by 3.
Volume = (length * width * height) / 3 = (50 ft * 20 ft * 25 ft) / 3 = 8333.33 ft^3.

Therefore, the total volume of the lagoon is 25000 ft^3 + 8333.33 ft^3 = 33333.33 ft^3.

So, the correct answer is "8,333.33 ft.3" or "8,333.33 feet cubed".