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.
A. 890,624 ft.^3
B. 2,671,872 ft.^3
C. 296,874.67 ft.^3
D. 98.33 ft.^3
The volume of a pyramid can be calculated using the formula:
Volume = (1/3) × base area × altitude
Given that the base of the pyramid is 112 feet on each side and the altitude is 71 feet, we can substitute these values into the formula:
Volume = (1/3) × (112 ft)² × 71 ft
= (1/3) × 12544 ft² × 71 ft
= (4181.33) × 71 ft
= 296874.67 ft³
Therefore, the volume of the pyramid at the Louvre Museum is approximately 296,874.67 ft³.
The correct answer is option C.