?The Great Pyramid of King Khufu was built of limestone in Egypt over a \(20\)-year time

Chapter 5, Problem 36

(choose chapter or problem)

The Great Pyramid of King Khufu was built of limestone in Egypt over a \(20\)-year time period from \(2580 BC\) to \(2560 BC\). Its base is a square with side length \(756ft\) and its height when built was \(481ft\). (It was the tallest man-made structure in the world for more than \(3800\) years.) The density of the limestone is about \(150 l b / f t^{3}\).

(a) Estimate the total work done in building the pyramid.

(b) If each laborer worked \(10\) hours a day for \(20\) years, for \(340\) days a year, and did \(200 f t-l b / h\) of work in lifting the limestone blocks into place, about how many laborers were needed to construct the pyramid?

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