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
296,874.67 ft.3
2,671,872 ft.3
890,624 ft.3
To calculate the volume of the pyramid, we can use the formula:
Volume = (1/3) * base area * height
The base of the pyramid is a square with sides of 112 feet, so the base area is:
Base area = 112 feet * 112 feet = 12,544 square feet
Now, we can plug in the values into the formula:
Volume = (1/3) * 12,544 square feet * 71 feet
Calculating this expression:
Volume = (1/3) * 891,424 cubic feet
Simplifying:
Volume = 297,141.33 cubic feet
Rounded to the nearest whole number:
Volume = 297,141 cubic feet
Therefore, the volume of the pyramid at the Louvre Museum is approximately 297,141 ft³.
The closest option to this answer is 296,874.67 ft³.