The big pyramid of Cheops was built from 2551 BC till 2528 BC. That is in a time
ID: 1409139 • Letter: T
Question
The big pyramid of Cheops was built from 2551 BC till 2528 BC. That is in a time period of 23 years. See also lecture 3.1. There exist different hypothesis on how the pyramids were constructed. In this assignment you will investigate one of these hypothesis where the stone blocks were rolled uphill. Calculate the volume of the pyramid, given the dimensions in figure 1. Each block of stone has a weight of 2500 kg. The mass density of the stone is approximately 2500 kg/m^3. What is the rate (time) at which stones must have been delivered; given that the workers only work for 10 hours/day? Calculate the total mass and the center of mass of the pyramid (ignoring the inner cavities). What is the total potential energy that is stored in the pyramids?Explanation / Answer
1) V=a2*h/3
=2302*146/3
=2574466.667 m3
2) given mass density of each stone=2500kg/m3
mass of each stone=2500kg
hours working=10 hours/day
total time=23*365*10=83950 hours
mass=density*volume
=2500*2574466.667
=6436166668 kg
rate=6436166668/83950=76666.66668 kg/hour
3.) total mass
=2500*2574466.667
=6436166668kg
4.) E=mgh
=6436166668*9.8*146
E=9.21*10^9 kJ
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