Question

Volume of Pyramids Practice
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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)

Answer 1

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

\[
V = \frac{1}{3} \times B \times h
\]

where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height (or altitude) of the pyramid.

1. **Calculate the area of the base (B)**:
Since the base is a square with each side measuring 125 m:

\[
B = \text{side}^2 = 125 \, \text{m} \times 125 \, \text{m} = 15625 \, \text{m}^2
\]

2. **Take the height (h)** of the pyramid:
The altitude \( h \) is given as 324 m.

3. **Now apply the formula**:

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

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

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

Thus, the volume of the Eiffel Tower, if it were a solid square pyramid, would be **1,687,500 cubic meters**.