Use the volume formula to determine the volume of the pyramid at the Louvre Museum if it has a base that is 112 feet long on each side and has an altitude of 71 feet.(1 point)

Question

Responses

296,874.67 ft.^3

890,624 ft.^3

2,671,872 ft.^3

98.33 ft.^3

Answer 1

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

V = (1/3) * base area * altitude

First, calculate the base area of the pyramid by finding the area of one side of the square base:

base area = (side length)^2 = 112 ft * 112 ft = 12544 ft^2

Now, substitute the given values into the volume formula:

V = (1/3) * 12544 ft^2 * 71 ft

V ≈ 296,874.67 ft^3

Therefore, the volume of the pyramid at the Louvre Museum is approximately 296,874.67 ft^3.