math

The pyramid of Giza in Egypt is built of stone and was completed in 2560 BC. The length of each side of the square base is 230 meters and the vertical height is 146 meters.

1. What volume of stone is needed to form a solid pyramid with these dimensions?

The surface of the pyramid was originally faced with limestone.

2. How many square meters of facing limestone were needed?

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  1. 1. V = Ab*h/3. Ab = Area of the base.

    V = (230)^2 * 146/3 = 2,574,467m^3.

    2. Al = P*Hs / 2.

    P = 4 * 230 = 920m = Perimeter of the base.

    Hs^2 = (b/2)^2 + h^2,
    Hs^2 = (230 / 2)^2 + (146)^2 = 34,541
    Hs = 186m = Slant Height.

    Al = 920 * 186 / 2 = 85,560m^2 = Lateal
    area = Amount of limestone needed.

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  2. How many square meters of facing limestone were needed?

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