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29 August, 15:32

Originally, each triangular face of the Great Pyramid of Giza had a height of 612 feet and a base of 756 feet. Today, the height of each triangular face of the square pyramid is 592 feet. Find the change in the total surface area of the four triangular faces of the Great Pyramid of Giza.

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  1. 29 August, 18:59
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    Step-by-step explanation:

    The given pyramid is a square based pyramid. The formula for determining the total surface area of a square base pyramid is expressed as

    Total surface area = base area + (1/2 * perimeter * slant height)

    Perimeter of base = 4 * 756 = 3024 feet

    Slant height = 612 feet

    Base area = 756² = 571536 feet²

    Total surface area = 571536 + (1/2 * 3024 * 612) = 1496880 feet²

    Total surface area of the pyramid today is

    571536 + (1/2 * 3024 * 592) = 1466640 feet²

    Change in total surface area is

    1496880 - 1466640 = 30240 feet²
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