SUMMARY By modeling the building after a Roman basilica, it becomes much easier to fit the Chamber of Hewn Stone into the Courtyard.
In the last post I concluded that the maximum space available for the Chamber of Hewn Stone in the northeast corner of the Courtyard measures 21×55 amos, or 1155 amos2, far short of the required 1485 amos2. I believe that the solution to this problem lies in the Gemara (Yoma 25a) which describes this chamber as a "large basilica." In Roman times, the term basilica referred to a specific type of building. The following is from A Topographical Dictionary of Ancient Rome by Samuel Ball Platner:
Basilica: the name given by the Romans to a very common type of building erected for business purposes and also for the accommodation of the courts. It usually consisted of a rectangular hall, of considerable height, surrounded by one or two ambulatories, sometimes with galleries, and lighted by openings in the upper part of the side walls. The hall often ended in an apse or exedra.[This citation comes from the website LacusCurtius, run by Bill Thayer, which contains much useful information on the ancient Roman world.]
Here is a very basic layout of what a Roman basilica looked like: