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? |
| Userkaf | 49 | 73.3 | 53 degrees | ||
| Sahure | 48 | 78.5 | 50.5 degrees | ||
| Queen Khentkawes | 72 | 25 | 52 degrees | ||
| Djedkare | 52.5 | 78.75 | 52 degrees | ||
| Djedkare's Queen | 21 | 41 | ca 45 degrees | ||
| Teti | 52.5 | 78.5 | 53.1 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 .
(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?
