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
8,333.33 ft.3
8,333.33 feet cubed
25,000 ft.3
25,000 feet cubed
75,000 ft.3
75,000 feet cubed
95 ft.3
To find the volume of the lagoon, we need to calculate the area of the top rectangle and then multiply it by the depth of the lagoon.
The area of the top rectangle is 50 feet * 20 feet = 1000 square feet.
To find the volume, we multiply the area by the depth: 1000 square feet * 25 feet = 25,000 cubic feet.
Therefore, the correct answer is 25,000 ft.3.
A rectangular pyramid has a length of 7 cm and a width of 9 cm. Its volume is 231 cubic centimeters. Use the formula for the volume of a pyramid to calculate the height of this pyramid. Show all your work.(2 points)
The formula for the volume of a rectangular pyramid is given as V = (1/3) * length * width * height.
We are given the volume as 231 cubic centimeters, and the length and width as 7 cm and 9 cm respectively.
We can rearrange the formula to solve for the height:
V = (1/3) * length * width * height
231 = (1/3) * 7 * 9 * height
231 = (63/3) * height
231 = 21 * height
height = 231 / 21
height = 11 cm
Therefore, the height of the pyramid is 11 cm.