The Right Triangle and the Pyramids Exploration
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1. For the following pyramids compute the Seqed if possible.
|Pyramid||Height||base||Seqed of the pyramid||Slope||Possible right triangle|
|Great Pyramid (Khufu)||146.6||230.3||51.8 degrees|
|Khafre||143.5||215.25||.75||53.1 degrees||3-4-5 Triangle|
|Menkaure||66.45||103.4||.79||51.3 degrees||Maybe 3-4-5 Triangle?|
|Queen Khentkawes||72||25||52 degrees|
|Djedkare's Queen||21||41||ca 45 degrees|
|Teti's Queen (Iput)||21||21||63 degrees|
3. Note the interesting difference between the pyramids of the Kings and those of the Queens. It is quite common for the Queens to have a much smaller pyramid.
The volume of a pyramid is given by <math>1/3 b^2 h</math>.
(i) Compute the volume the pyramids of Kings like Djedkare and Teti.
(ii) Compute the volumes of their queen's pyramids.
(iii) Given their volume, how much bigger are the king's monuments?