we are given
density of gold = 19.3g/cm^3
we know that
[tex]1g=10^{-3}kg[/tex]
[tex]1cm=10^{-2}m[/tex]
we have to change it into kg/m^3
so, we can plug these values
[tex]19.3\frac{g}{cm^3} =19.3\frac{10^{-3}kg}{(10^{-2}m)^3}[/tex]
we can also write as
[tex]19.3\frac{g}{cm^3} =19.3\frac{10^{-3}}{(10^{-2})^3}\frac{kg}{m^3}[/tex]
now, we can simplify it
[tex]19.3\frac{g}{cm^3} =19300\frac{kg}{m^3}[/tex]
[tex]19.3\frac{g}{cm^3} =1.93\times 10^4 \frac{kg}{m^3}[/tex]..............Answer
