Petrie gives the following measures for the coffer:
Outside length: 89.62 inches
Outside width: 38.5 inches
Outside height: 41.31 inches
Inside length: 78.06 inches
Inside width: 26.81 inches
Inside height: 34.42 inches
These measures convert to AE cubits as follows:
Outside length: 4.345 cubits
Outside width: 1.867 cubits
Outside height: 2 cubits
Inside length: 3.786 cubits
Inside width: 1.301 cubits
Inside Height: 1.67 cubits
The area of the inside base of the coffer is 4.925 sq cubits (3.786 x 1.301)
A circle with an area of 4.925 sq cubits has a radius of 1.252 cubits
A sphere with a radius of 1.252 cubits has a volume of 8.224 cubic cubits
The inside volume of the coffer is 8.224 cubits (3.786 x 1.301 x 1.67 = 8.224)
A sphere with an area equal to the area of the inside base of the coffer has a volume equal to the volume of the inside of the coffer.
A circle with a radius of phi (1.618 cubits) has an area of 8.224 cubits, equal to the cubic measure of the inside volume of the coffer. A circle with a radius of 1.618 cubits has a circumference of 10.17 cubits, equal to the perimeter of the inside base of the coffer (3.786 x 2 plus 1.301 x 2 = 10.17).
The outside volume of the coffer is 16.224 cubits (4.345 x 1.867 x 2 = 16.224)
The inside volume of the coffer is 8.224 cubits.
The solid bulk of the coffer is 8 cubic cubits (16.224 minus 8.224), equal to the bulk of a cube with side lengths of 2 cubits, the same as the height of the coffer.
The diagonal of the inside base of the coffer is 4 cubits (3.786 sq plus 1.301 sq equals 4 sq). This is twice the height of the coffer, just as the diagonal of the base of the KC is equal to twice the height of the KC (20 sq plus 10 sq equals 22.36 sq).
The volume of the KC is 2,236 cubic cubits (20 x 10 x 11.18). A sphere with a volume of 2,236 cubits has a diameter of 16.224 cubits, a linear measure equal to the cubic measure of the outside volume of the coffer.
A sphere with a volume of 2,236 cubits has a radius of 8.112 cubits, a linear measure equal to the square measure of the outside base of the coffer (4.345 x 1.867 = 8.112).
Edited 1 time(s). Last edit at 09/03/2009 12:43AM by Jim Alison.