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The height of the Egyptian pyramid is 146.6 meters and a base length is 230.6 meters. Find the volume of that pyramid.
  1. see the answer
Explanation

To find the volume of the pyramid, we use the formula for the volume of a pyramid:


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

Given:

  • The height h=146.6h = 146.6 meters
  • The base length a=230.6a = 230.6 meters (since the pyramid has a square base, both base lengths are equal)

The area of the square base is:

Now, we can calculate the volume:


V = frac{1}{3} times 53,177.16 times 146.6 = 2,598,469.41 , text{m}^3

Thus, the volume of the pyramid is approximately 2,598,469.41 cubic meters.

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