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.

Question

a. 296,874.67 ft.^3
b. 2,671,872 ft.^3
c. 890,624 ft.^3
d. 98.33 ft.^3

Answer 1

The volume formula for a pyramid is given by V = (1/3) * base area * height.

First, we need to calculate the base area. Since the base of the pyramid is a square, the base area is given by the formula base area = side length * side length.

Therefore, the base area is 112 ft * 112 ft = 12544 sq ft.

Next, we substitute the values into the volume formula:

V = (1/3) * 12544 sq ft * 71 ft

V = 1/3 * 889024 sq ft * ft

V = 296,341.33 ft³

Therefore, the volume of the pyramid at the Louvre Museum is approximately 296,874.67 ft³, which corresponds to option a.