Why does a piece of silver that's cut in half have the same density as before?

Answer

It's because density is an intensive property. 

Density is equal to the mass of an object divided by its volume.  If you double the mass of a material, the volume of the object will also double.  For example, consider a marshmallow that weighs 0.5 grams and has a volume of 1 mL.  The density of the marshmallow is 0.5 g/mL.  Now, let's imagine we have to find the density of two of these marshmallows put together.  The density would be 1 gram / 2 mL, or 0.5 g/mL.



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