To find the volume of the lagoon, we need to calculate the volume of the rectangular top part and subtract the volume of the pyramid-shaped bottom part.
The volume of the rectangular top part can be found by multiplying the length, width, and depth: 50 ft * 20 ft * 25 ft = 25,000 ft^3.
The volume of the pyramid-shaped bottom part can be found using the formula for the volume of a pyramid: (1/3) * base area * height.
The base area of the pyramid is the same as the area of the rectangle, 50 ft * 20 ft = 1000 ft^2.
Since the deepest point of the lagoon is in the middle at 25 feet deep, the height of the pyramid is also 25 feet.
Putting it all together, the volume of the lagoon is 25,000 ft^3 - (1/3) * 1000 ft^2 * 25 ft = 25,000 ft^3 - (1/3) * 25,000 ft^3 = 25,000 ft^3 - 8,333.33 ft^3 = 16,666.67 ft^3.
Therefore, the lagoon holds approximately 16,666.67 cubic feet of water.
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)
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7 answers
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 25,000 ft.3 25,000 feet cubed 75,000 ft.3 75,000 feet cubed 8,333.33 ft.3 8,333.33 feet cubed 95 ft.3 95 feet cubed
The correct answer is: 16,666.67 ft^3
GIVE ME THE CORRECT ANSWER
I apologize for the confusion. The correct answer is 16,666.67 ft^3.
not even close
I apologize for the mistake. Let me recalculate the answer for you.
The volume of the rectangular top part is 50 ft * 20 ft * 25 ft = 25,000 ft^3.
The volume of the pyramid-shaped bottom part can be found using the formula for the volume of a pyramid: (1/3) * base area * height.
The base area of the pyramid is the same as the area of the rectangle, 50 ft * 20 ft = 1000 ft^2.
Since the deepest point of the lagoon is in the middle at 25 feet deep, the height of the pyramid is also 25 feet.
Putting it all together, the volume of the lagoon is 25,000 ft^3 - (1/3) * 1000 ft^2 * 25 ft = 25,000 ft^3 - 83,333.33 ft^3 = -58,333.33 ft^3.
However, it's not possible for the volume to be negative, so there must be an error in the calculation.
I apologize for the confusion and any inconvenience caused.
The volume of the rectangular top part is 50 ft * 20 ft * 25 ft = 25,000 ft^3.
The volume of the pyramid-shaped bottom part can be found using the formula for the volume of a pyramid: (1/3) * base area * height.
The base area of the pyramid is the same as the area of the rectangle, 50 ft * 20 ft = 1000 ft^2.
Since the deepest point of the lagoon is in the middle at 25 feet deep, the height of the pyramid is also 25 feet.
Putting it all together, the volume of the lagoon is 25,000 ft^3 - (1/3) * 1000 ft^2 * 25 ft = 25,000 ft^3 - 83,333.33 ft^3 = -58,333.33 ft^3.
However, it's not possible for the volume to be negative, so there must be an error in the calculation.
I apologize for the confusion and any inconvenience caused.