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 296,874.67 ft.3 296,874.67 feet cubed 890,624 ft.3 890,624 feet cubed 98.33 ft.3 98.33 feet cubed 2,671,872 ft.3
To calculate the volume of a pyramid, we can use the formula:
Volume = (1/3) * base area * height
The base area of the pyramid can be found by taking the area of one of its triangular faces. Since the base is a square with sides of length 112 feet, the area of one face is (112 * 112) / 2 = 6272 square feet.
Substituting the values into the formula:
Volume = (1/3) * 6272 * 71
= 140,416/3
= 46,805.33 ft.3
Therefore, the volume of the pyramid at the Louvre Museum is approximately 46,805.33 ft.3.