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 determine the volume of a pyramid, we use the formula V = (1/3) × base area × height.
Given that the base of the pyramid is 112 feet long on each side and the altitude is 71 feet, we can calculate the volume.
First, we need to calculate the base area. Since the base is a square, we can find the area by squaring one side. Therefore, the base area is 112 ft × 112 ft = 12,544 ft².
Next, we can plug in the values into the volume formula:
V = (1/3) × 12,544 ft² × 71 ft
V = 4,181.33 ft² × 71 ft
V ≈ 296,874.67 ft³
Therefore, the volume of the pyramid at the Louvre Museum is approximately 296,874.67 ft³.