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.

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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step-by-step explanation:

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