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

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

The area of the square base is:

Base Area = a^^{2} = 230. 6^{2} = 53, 177.16 m^^{2}

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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