As an answer to this: Have you ever noticed that an old bar of soap doesn't lather
up as well as a new one? Curious1's soap has stopped breaking down dirt, and Curious1 wants to know why:
Apparent "latherability" is a measure of "how much soap you can get to dissolve in your wet hands" per unit time.
2 factors affect this:- total surface area of the bar and how compacted the soap is at the present surface.
A bar that has halved in length, will have only one quarter the surface area of the original bar.
Bars of soap are made by extruding soap, then cutting it to length and then stamping in a compression mould (although the last 2 steps are often done simultaneously.
In the extrusion process (especially at the point of exiting the die) the outer "layers" end up being less compacted than the center. The stamping may also add to this, especially if there is some extrusion of excess soap.
Hence APPARENTLY less effective soap.
In the case of an aged unused bar, the water in the surface of the bar evaporates over time and causes less speedy dissolving of the soap