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?(1 point)
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The Eiffel Tower can be modeled as a square pyramid. To find the volume of a square pyramid, we use the formula:
Volume = (1/3) * Base Area * Height
First, let's calculate the base area of the pyramid. Since the base is a square, we can use the formula for the area of a square:
Base Area = Side Length * Side Length
Base Area = 125 m * 125 m = 15625 m^2
Now, let's calculate the volume of the pyramid using the formula:
Volume = (1/3) * Base Area * Height
Volume = (1/3) * 15625 m^2 * 324 m
Volume ≈ 1,625,000 m^3
Therefore, the volume of the Eiffel Tower, if the sides were solid, would be approximately 1,625,000 cubic meters.