Leon was wondering one day what the volume of the Eiffel Tower would be if the sides were solid. The base is a square with sides measuring 125 m long on each side, and the altitude of the square pyramid is 324 m. What would the volume be in cubic meters?

Answer 1

To find the volume of the Eiffel Tower, we need to find the volume of the square pyramid.

The formula to find the volume of a square pyramid is:
V = (1/3) * (base area) * (height)

First, let's find the base area of the pyramid.
The base is a square with sides measuring 125 m long on each side.
The area of a square is side^2.
So, the base area = 125^2 = 15625 square meters.

Now, let's find the volume of the pyramid using the formula:
V = (1/3) * (base area) * (height)
V = (1/3) * (15625) * (324)
V = 5208.33 * 324
V ≈ 1,687,500 cubic meters

Therefore, the volume of the Eiffel Tower, if the sides were solid, would be approximately 1,687,500 cubic meters.