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 meters long on each side, and the altitude of the square pyramid is 324 meters. What would the volume be in cubic meters?

1 answer

To find the volume of a square pyramid, we use the formula:

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

First, we need to calculate the area of the base of the pyramid:

base area = side length * side length
base area = 125m * 125m
base area = 15625m²

Now, we can plug in the values into the formula:

V = (1/3) * 15625m² * 324m
V = (1/3) * 5062500m³
V = 1687500m³

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