48. For almost four millennia, the Pyramid of Khufu (aka The Great Pyramid of Gi

Question

48. For almost four millennia, the Pyramid of Khufu (aka The Great Pyramid of Giza) was the tallest man-made structure in the world, and it remains the only one of the Seven Wonders of the Ancient World that is still essentially intact. This is a square pyramid, with a base side length (L) of 813 feet [ft]. The volume (V) of the pyramid is 2.946 x 10 liters [L]. The volume (V) of a pyramid with a square base is given by What is the height (H) of the pyramid in units of cubits? In Ancient Egypt, 1 cubit 19.9 inches [in].

Explanation / Answer

1 liter = 1000 cm3
1 cm = 0.3937 inch
1 liter = 1000 *0.39373 inch3 = 61.024 inch3
Volume of Pyramid V = 2.946x109 liters = 2.946x109 * 61.024 = 1.798x1011 inch3
Base side L = 813 ft = 9756 inch
H = 3V/L2 = 5666.4 inch = 5666.4/19.9 = 284.7 cubit

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