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)
Responses

95 ft.3
95 feet cubed

25,000 ft.3
25,000 feet cubed

75,000 ft.3
75,000 feet cubed

8,333.33 ft.3

Answer 1

Volume = (1/3)·base area·height. Base area = 50·20 = 1000 ft², height = 25 ft.

V = (1/3)·1000·25 = 25000/3 ≈ 8,333.33 ft³.

So the correct response is 8,333.33 ft³.