Many people are familiar with the story of Archimedes submerging a crown in water to identify if the volume of the crown was consistent with the volume of the same amount of gold. The test was to see if a lighter cheaper metal (like silver) was included in crown. If the crown maker substitutes silver for some of the gold, they make a sinister profit at the risk of their life.
Platinum is heavier than gold, silver is lighter. Using the values as of January of 2013, could any combination of metals be used to create a crown that would have the same volume as a solid gold crown, with a cost effective benefit for the crown maker?
Using the values of metals in 287 BCE – 212 BCE, could it be cost effective for the crown maker.