Leon was wondering one day what the volume of the Eiffel Tower would be if the sides were solid. the base is square with sides measuring 125 M long on each side and an altitude of the square pyramid is 324 m. what would the volume be in cubic meters
To calculate the volume of the Eiffel Tower, we need to find the volume of the square pyramid it represents.
The formula to calculate the volume of a pyramid is:
Volume = (1/3) * base area * height
First, let's find the base area of the pyramid, which is the area of the square base. Since the sides of the base are 125 meters long, the area can be calculated as:
Base area = (125 m)^2 = 15625 m^2
Next, we need to find the height of the pyramid, which is the altitude of the square pyramid. In this case, the altitude is given as 324 meters.
Now we can substitute these values into the formula:
Volume = (1/3) * 15625 m^2 * 324 m
Calculating this equation:
Volume = (1/3) * 5071875 m^3
Simplifying the fraction:
Volume = 1690625 m^3
Therefore, the volume of the Eiffel Tower, if the sides were solid, would be 1690625 cubic meters.