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
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.
To find the volume of a square pyramid, we will use the formula:
Volume = (1/3) * base area * height
1. First, calculate the base area of the square pyramid:
Base area = side length * side length = 125 m * 125 m = 15,625 m²
2. Next, multiply the base area by the height of the pyramid:
Volume = (1/3) * 15,625 m² * 324 m
3. Calculate the product inside the parentheses:
(1/3) * 15,625 m² * 324 m = 5,208,333.33 m³
Therefore, the volume of the Eiffel Tower, if the sides were solid, would be approximately 5,208,333.33 cubic meters.