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?
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.