Question

The great pyramid of Giza and Egypt has a square base with edge length of 230.5 m Find the height of the pyramid. Round the answer to the nearest 10th.

Answer 1

To find the height of the pyramid, we can use the formula:

\( h = \sqrt{a^2 - \left(\frac{a}{2}\right)^2} \)

Where:
\( a = 230.5 \)
\( h = \sqrt{230.5^2 - \left(\frac{230.5}{2}\right)^2} \)
\( h = \sqrt{53130.25 - 13282.5625} \)
\( h = \sqrt{39847.6875} \)
\( h ≈ 199.6 \)

Therefore, the height of the pyramid is approximately 199.6 meters.