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
To find the volume of the scuba diving lagoon, we can split it into two parts: the rectangular top and the pyramid-shaped bottom.
The volume of the rectangular top is calculated by multiplying its length, width, and height:
Volume of rectangular top = 50 ft * 20 ft * 25 ft = 25,000 ft³.
The volume of the pyramid-shaped bottom is calculated by multiplying its base area (same as the rectangular top) and its height:
Volume of pyramid-shaped bottom = (50 ft * 20 ft * 25 ft) / 3 = 8,333.33 ft³.
Finally, we add the volumes of the two parts to find the total volume:
Total volume = Volume of rectangular top + Volume of pyramid-shaped bottom = 25,000 ft³ + 8,333.33 ft³ = 33,333.33 ft³.
Therefore, the lagoon holds approximately 33,333.33 cubic feet of water.