Register to reply 
Pyramid Game 
Share this thread: 
#1
Dec207, 03:22 PM

P: 26

1. The problem statement, all variables and given/known data
Our class exercise in World Prehistory was to figure out the volume of the building we were in and answer the following: How many a) basketloads, b) mud bricks, c) stone blocks would it take to build structure? How many workerhours would it take? How many days/months/years would it take, given varying levels sociopolitical organization and population size? Levels of sociopolitical organization and population size: A. Complex chiefdom: population size 1000. Each adult owes 10% of his or her labor to the chief. B. Neolithic town: population size 3500. Each adult owes 10% of his or her labor to the leader. C. State/civilization: population size 100,000. 20% of the population is slaves of the state. 20% of the population is royal or noble and does not work. The other 60% pays taxes to support the state, but owes no labor. Basketload: one cubic foot, requires 2/5 worker hour to collect, transport, and set. Mud brick: 10x14x6 inches, requires 1/3 worker hour to manufacture, transport, and set. Stone block: 1 cubit by 2 cubits, by 3 cubits, requires 4 worker hours to cut, transport, and set. Structure is solid inside, no airspace. Modern 8hour work day, work estimate need not include, support workers, only actual builders. For all populations, assume 40% ofthe population is adults. 2. Relevant equations cubit = 1.5 feet 3. The attempt at a solution The volume of our building was approximately 400,000 cubic feet Volume of brick things: Mudbrick: .5 feet cubed; Stone block: 20.25 feet cubed 


#2
Dec207, 03:45 PM

P: 252

So how many bricks or stones does it take to build the building? Clue: It involves a division. Once you get that, we can work on the other parts of the problem.



#3
Dec307, 05:59 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,682




Register to reply 
Related Discussions  
4 dimensional pyramid.  Differential Geometry  0  
Frustrum of a pyramid  Calculus & Beyond Homework  5  
Pyramid Theorem  Introductory Physics Homework  20  
Square pyramid?  General Math  4  
Creating a pyramid using C++  Programming & Computer Science  7 