methous. DU pyramid by the ratio of the run\" then steepness is found from (s/2)
ID: 3145012 • Letter: M
Question
methous. DU pyramid by the ratio of the run" then steepness is found from (s/2)*(1/h). The vertical unit was 8 The Egyptians measured the steepness of a face of a the height, the peremus, and s is the length of the side of the to the "rise", i.e. if h is the perem base, the "ukha thebet", taken as the cubit and the horizontal unit cubit and 4 fingers in hand steepness was called hands/cubit. For the Egyptians height-peremus and base = ukha thebet as the hand. There are seven hands in a n a hand. With these units of measurement the measure of the the seat or seked of the pyramid. The units of steepness is in its peremus. Cause thou thatI know the seked of it. (Both measurements are given in cubits.) The answer is given as 5+1/25. Use modern methods to calculate the seked. Did the scribe find the correct answer?Explanation / Answer
You need to find the seked i.e the steepness of the pyramid whose ukha-thebet or base is 360 hands and peremus or height is 250 cubits.
The formula for seked is (s/2) * (1/h)
Ukha-tebet = 360 cubits = 360*7 hands Peremus = 250 cubits = 250 cubits
=> Seked = (360*7/2) * (1/250) hands/cubits
= 2520/500 hands/cubits
= 126/25 hands/cubits
= 125/25 + 1/25 hands/cubits
= 5 + 1/25 hands/cubits
Thus the answer of the Egyptians was correct.
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