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 answer

The volume of a pyramid can be determined using the formula:

V = (1/3) * base area * height

The base area of the pyramid can be calculated since it is a square with sides of 112 feet. The formula for the area of a square is:

Area = side * side

Substituting the given side length of 112 feet:

Base area = 112 feet * 112 feet = 12544 square feet

Now, we have all the necessary information to calculate the volume:

V = (1/3) * 12544 square feet * 71 feet

V = 42,351.33 cubic feet

Therefore, the volume of the pyramid at the Louvre Museum is approximately 42,351.33 cubic feet.
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