if the density of a bar of gold is 19.3g/cm^3and you cut it into four pieces , what is its density of each piece of gold

Considering the definition of density and intensive and extensive properties, the density of each piece of gold is 19.3

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

Intensive properties are those that will remain unchanged even though the amount of matter varies, while extensive properties vary depending on the amount of matter in a body.

Density is an intensive property, so it is independent of the sample size. This is because the solute will be present in a certain proportion with respect to the solvent. That ratio will not change unless more solute or more solvent is added. Consequently, the concentration remains constant (concentration is an intensive property) and density too.

Finally, the density of each piece of gold is 19.3

Learn more about density:

the density of gold = 19.3 g/cm3

the relation between density and mass and volume is

density = mass / volume

given :

mass of gold = 13 g

density = 13g / volume = 19.3

volume = 13 /19.3 = 0.67 cm^3

thus volume of gold nugget = 0.67 cm^3