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 side’s 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 a square pyramid, we can use the formula:

Volume = (1/3) * Base Area * Height.

The base area of the pyramid is given by the formula for the area of a square:

Base Area = (Side Length)^2.

Given that the side length of the square base is 125 m, we can substitute this value into the formula to find the base area:

Base Area = (125 m)^2 = 15625 m^2.

The height of the pyramid is given as 324 m.

Now we can substitute these values into the formula for the volume of the pyramid:

Volume = (1/3) * Base Area * Height
= (1/3) * 15625 m^2 * 324 m
= 1/3 * 5,062,500 m^3
= 1,687,500 m^3.

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