Volume of Pyramids Practice

Question

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Question
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)
m3
Remaining Attempts : 3

Answer 1

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

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

1. First, calculate the base area of the square: \[ \text{Base Area} = \text{side} \times \text{side} = 125 , m \times 125 , m = 15625 , m^2 \]

2. Next, use the altitude (height) of the pyramid, which is 324 m.

3. Now substitute the values into the volume formula: \[ \text{Volume} = \frac{1}{3} \times 15625 , m^2 \times 324 , m \]

4. Calculate the volume: \[ \text{Volume} = \frac{1}{3} \times 15625 \times 324 \] \[ \text{Volume} = \frac{1}{3} \times 5062500 = 1687500 , m^3 \]

So, the volume of the Eiffel Tower as a solid pyramid would be 1,687,500 m³.