density= mass/volume
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The best strategy in that situation would be to use what you do know.
Object's density = (its mass) divided by (its volume)
Density is mass per unit volume; in metric system it is grams per cubic centimeter; in the English system, we use the term as weight per unit volume, or pounds per cubic inchAnother AnswerIn the SI system, the standard unit of density is the kilogram per cubic metre. The SI system doesn't use centimetres.
Then you would really be talking about a different type of unit, that (a) has nothing to do with density as it is usually defined (therefore you better give it a different name, to avoid confusion), and (b) may have no practical use.
Many countries use a penny as a minor currency unit and it is likely that each one of these has a different density.