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
890,624 ft.3
890,624 feet cubed
296,874.67 ft.3
To determine the volume of the pyramid, we can use the formula:
Volume = (1/3) * base area * height
Since the base of the pyramid is a square with each side measuring 112 feet, the base area can be calculated as:
Base area = Length of side * Length of side = 112 ft * 112 ft = 12,544 ft^2
Plugging in the given values into the formula, we get:
Volume = (1/3) * 12,544 ft^2 * 71 ft
= 4,181.33 ft^2 * 71 ft
= 296,874.67 ft^3
Therefore, the volume of the pyramid at the Louvre Museum is approximately 296,874.67 ft³.