Question

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)
95 ft^3
25,000 ft^3
75,000 ft^3
8,333.33 ft.3

Answer 1

can you pick one the answers that i put down

Answer 2

To find the volume of the lagoon, we need to find the volume of the rectangular top and subtract the volume of the pyramid.

The volume of the rectangular top is given by length * width * height = 50 ft * 20 ft * 25 ft = 25,000 ft^3

The volume of the pyramid is given by (1/3) * base area * height = (1/3) * (50 ft * 20 ft) * 25 ft = 8333.33 ft^3

Therefore, the total volume of the lagoon is 25,000 ft^3 - 8,333.33 ft^3 = 16,666.67 ft^3

So the correct answer is 16,666.67 ft^3.

Answer 3

Apologies for the confusion. Based on the options you provided, the correct answer would be 8,333.33 ft^3.