# Difference between revisions of "The Right Triangle and the Pyramids Exploration"

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− | 1 | + | 1. For the following pyramids compute the Seqed if possible. <br> |

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(ii) Compute the volumes of their queen's pyramids. <br> | (ii) Compute the volumes of their queen's pyramids. <br> | ||

(iii) Given their volume, how much bigger are the king's monuments? | (iii) Given their volume, how much bigger are the king's monuments? | ||

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+ | [[Category:Egyptian Mathematics Exploration]] |

## Revision as of 08:46, 24 January 2009

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 <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?