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?

95 ft.3

75,000 ft.3

8,333.33 ft.3

25,000 ft.3

get the closest answer possible

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the scuba diving lagoon, we can divide it into three sections: the top rectangle, the middle section, and the bottom section.

The volume of the top rectangle can be found by multiplying the length (50 ft) by the width (20 ft) and the depth (0 ft, since it is at the top):

Volume of top rectangle = 50 ft * 20 ft * 0 ft = 0 ft³

The volume of the middle section can be found by multiplying the area of the rectangle (50 ft * 20 ft) by the depth (25 ft):

Volume of middle section = 50 ft * 20 ft * 25 ft = 25,000 ft³

The volume of the bottom section can be found by dividing the volume of the middle section by 2, since it is an upside-down pyramid:

Volume of bottom section = 25,000 ft³ / 2 = 12,500 ft³

Therefore, the total volume of the scuba diving lagoon is:

Total volume = Volume of top rectangle + Volume of middle section + Volume of bottom section
= 0 ft³ + 25,000 ft³ + 12,500 ft³
= 37,500 ft³

Therefore, the closest answer is 37,500 ft³.

Answer 2

the closest answer possible out of the answers i have given you

Answer 3

[AI-generated answer — Bot GPT 3.5]

The closest answer possible out of the given options is 25,000 ft³.

Answer 4

a rectangular pyramid has a length of 7 cm a width of 9 cm its volume

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the volume of a rectangular pyramid, you can use the formula:

Volume = (1/3) * base area * height

Given that the length of the rectangular pyramid is 7 cm, the width is 9 cm, and no height is provided, it is not possible to calculate the volume of the pyramid without the height.