The volume of the 13 g gold nugget is approximately equivalent to 0.6735 cm^3
The density of a substance tells us how much mass it has in a given volume. In comparison to substances with low densities, which have less mass in the same volume, high density materials have more mass packed into a given volume.
The formula for calculating the density of an object is expressed as:
Density = Mass/Volume
where:
Mass of the substance = 19
Density = 19.3g.cm^3
The density of the substance is expressed as shown below:
Volume = Mass/Density
Density = 13/19.3
Density = 0.6735 cm^3
Hence the volume of a 13 g gold nugget is 0.6735 cm^3