Outside dimensions

Section 4.1.1  

The nominal length of each side: 440 cubits NM = 11 shets NM.



Section 4.1.2

In reality there are small deviations:

Northern side: 439,8 cubits RM ( = 230,26 m).

Eastern side:   440,0 cubits RM ( = 230,39 m).

Southern side: 440,2 cubits RM ( = 230,45 m).

Western side: 440,0 cubits RM ( = 230,36 m).




Section 4.1.3

The distance from the side to the center (the black line below) is 220 cubits NM, which is exactly the same length as from the corner to the half length of the side (the blue line).

Therefore the distance from the corner to the center (the hypotenuse) divided by 220 cubits is √2. 

√2 is an interesting figure or key in this building.  √2 is the relation between the measuring unit cubit and remen and between remen and foot (see further details in the tab: Units).
1 cubit =  √2 remen
1 remen = √2  foot
(Of this we can conclude 1 cubit = 2 foot.)

 


Section 4.1.4

The angles of the pyramid :
North / East : 90°  3´ 2´´                   (=90,05°) RM
North / West :  89°  59´ 58´´            (=90,00°) RM
South / East :  89°  56´ 58´´             (=89,95°) RM
South / West : 90°  0´ 33´´               (=90,01°) RM



Section 4.1.5

The sides of the pyramid points closely towards North, East, South and West with a max. deviation of 0,05°.



Section 4.1.6

The original height of the pyramid is 396 remens NM = 280 cubits NM = 7 shets NM.   (Due to different circumstances the building is a bit lower today.)


Section 4.1.7

There is an interesting relation between the length of the pyramid and the height:  440 cubits / 280 cubits = 11 / 7

Also between the height and half the length:  280 cubits / 220 cubits = 14 / 11

Section 4.1.8

The calculations of the elevation of the sides are as follows:
Horizontal length to the center: 440 cubits NM / 2 = 220 cubits NM.   
7 hands / cubit x 220 cubits NM = 1540 hands
Vertical length at center : 280 cubits NM
Elevation: 1540 hands / 280 cubits NM = 5,5 seked.

According to section 3.2.8 we can calculate the angle:
  arc tanPNG

Arc tan (7 / 5,5 seked) = 51,84° , (please observe the Egyptians did not know the unit  °  in that period of time.)

 

Section 4.1.9

An interesting issue concerning the slope of the sides has been brought up in the web site of  Dr. Zahi Hawass in the article  http://www.drhawass.com/wp/a-new-angle-on-the-great-pyramidby-andrew-bayuk/  by Dr. Andrew Bayek in which he claim the pyramid of Khufu originally was designed and built to meet a slope of 43°.

I cannot judge whether the arguments in the article are valid, but it surprises me the Egyptians would choose 43° as they did not know the unit °
Furthermore, it seems  Dr. Andrew Bayek assumed the horizontal length was unchanged. The vertical height on the center of the pyramid should originally have been 205,15 cubits NM. The elevation should then have been   1540 hands / 205,15 cubits NM = 7,5067 seked.
The vertical height of 205,15 cubits NM and an elevation of 7,5067 seked are very doubtful measures.