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) Responses 98.33 ft.3 98.33 feet cubed 2,671,872 ft.3 2,671,872 feet cubed 296,874.67 ft.3 296,874.67 feet cubed 890,624 ft.3

1 answer

The volume of a pyramid can be calculated using the formula V = (1/3) * base area * altitude.

First, calculate the base area of the pyramid:
Base area = 112 ft * 112 ft = 12544 ft^2

Then, plug the base area and altitude into the volume formula:
V = (1/3) * 12544 ft^2 * 71 ft
V = (1/3) * 889024 ft^3
V = 296342.67 ft^3

Therefore, the volume of the pyramid at the Louvre Museum is 296,342.67 feet cubed.