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) but not in cubic meters

Question

m3

Answer 1

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

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

1. First, calculate the base area of the square:

   • Base Area = side × side = \(125 , \text{m} \times 125 , \text{m} = 15625 , \text{m}^2\)

2. Next, use the height of the pyramid which is given as 324 m.

3. Plug these values into the volume formula:

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

4. Calculate the volume:
   • First calculate \(15625 \times 324\):

\[ 15625 \times 324 = 5062500 , \text{m}^3 \]

5. Now divide by 3:

\[ V = \frac{5062500}{3} = 1687500 , \text{m}^3 \]

Therefore, the volume of the Eiffel Tower, if the sides were solid, would be \(\text{1687500 m}^3\).