Leon was wondering one day what will the volume of the Eiffel Tower would be if the sides were solid. the base is a square with sides measuring 125m and the height of the square pyramid is 324 M what would the volume be in cubic meters?(1 point)

Answer 1

To calculate the volume of a square pyramid, you can use the formula:

\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]

For a square base, the base area can be calculated as:

\[ \text{Base Area} = \text{side}^2 \]

Given that the side of the square base is 125 meters, the base area is:

\[ \text{Base Area} = 125 , \text{m} \times 125 , \text{m} = 15625 , \text{m}^2 \]

The height of the pyramid is given as 324 meters.

Now we can calculate the volume:

\[ V = \frac{1}{3} \times 15625 , \text{m}^2 \times 324 , \text{m} \]

Calculating that:

\[ V = \frac{1}{3} \times 15625 \times 324 = \frac{5062500}{3} = 1687500 , \text{m}^3 \]

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