These problems concern a container in the form of a cube measuring 10 by 10 by 10 royal cubits. If you wish to build such a granary you have to know the lengths of the floor diagonals, of the face diagonals, and of the cubic diagonals.
1 1 2 2 3 4 5 7 10 12 17 24 29 41 58 70 99 140 and so on
If the edge of a cube measures 10 royal cubits or 70 palms, the diagonal of a face measures practically 99 palms (mistake 0.4 millimeters).
The granary in the form of a cube has a volume of 1,000 cubic cubits, while a granary in the shape of a hemi- ellipsoid in the frame of the same cube has a volume of about 523 cubic cubits. When we transform the cube into a right parallelepiped, the ratio of the volume of the parallelepiped to the volume of the inscribed hemi- ellipsoid remains the same, about 2. This generates a very simple practical formula:
If you see a granary in the shape of a hemi-ellipsoid and wish to estimate its volume, carry out the following calculation: '2 x diameter base x diameter base x height and you obtain the approximate volume of the granary.