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
95 ft.3
95 feet cubed
8,333.33 ft.3
8,333.33 feet cubed
75,000 ft.3
To calculate the volume of the lagoon, we need to find the volume of the rectangular top and the volume of the pyramid shape.
Volume of the rectangular top: Length * Width * Depth = 50 ft * 20 ft * 25 ft = 25,000 ft^3
Volume of the pyramid shape: (1/3) * Base Area * Height = (1/3) * (50 ft * 20 ft) * (25 ft - 0 ft) = 1/3 * 1,000 ft^2 * 25 ft = 8,333.33 ft^3
Total volume of the lagoon = Volume of rectangular top + Volume of pyramid shape = 25,000 ft^3 + 8,333.33 ft^3 = 33,333.33 ft^3
Therefore, the correct answer is 33,333.33 ft^3.