Firstly, I should state that the remen used in this theory is the Royal Cubit divided by sqrt 2, or 14.58 inches (rounded to two places), and the Royal Cubit length used is 20.62 inches, as established by Flinders Petrie. The dimensions used for the coffer were obtained from this page. They are within a small fraction of an inch of what I calculated myself from Petrie's measurements.
Height = 1048 mm = 41.26 in. = 3.4 ft
Width = 977 mm = 38.46 in. = 3.2 ft
Length = 2278 mm = 89.68 in. = 7.47 ft
The height appears to be simply 2 Royal Cubits, which at 20.62 inches would be 41.24 inches. This could also be viewed as one remen x sqrt 8
The width is one remen x sqrt 7, which would be 38.575 inches. Using Royal Cubits it would be x sqrt 3.5. Since that's not a whole number I have to assume that the remen was used for this dimension.
The length is one remen x sqrt 38 or one Royal Cubit x sqrt 19. Since 19 is a more practical number to deal with, I'm assuming that the cubit was used for this dimension. This would be 89.88 inches.
Why would the builders have an interest in the number 19? Hard to say but here are some possibilities;
The Egyptian priesthood knew that the Grid of 19 was in reality the background of the human archetypal energy blueprint. They also knew that the correct use of the 19 in design (as 19 design elements, or by building the number into measurement and proportional systems in design) creates a very powerful emanation of beneficial energy; this is the Golden Light often referenced in ancient Egyptian texts as essential for spiritual development and for consciousness after death.
So I suspect that it was intended to confer some sort of beneficial effects on the coffer.
Edited by Bennu, 23 August 2014 - 10:26 PM.