Denstity conversion : The density of liquid metal, mercucy,n is `13.6 g cm^(-3)`. What is the density in `kg m^(-3)` ?
Strategy : We need two unit factors-one to convert gram to kilogram and the other to convert cubic meter to cubic centimeter. Use the relationships `1 kg = 1000g` and `1 cm = 1xx10^(-2) m`.

Explanation

`? Kg^(-3) = ((13.6g)/(cm^(3))) xx ((1kg)/(1000 g)) xx ((1cm)/(1xx10^(-2) m))^(3)`
`= 13.6xx10^(3) "kg m"^(-3)`
`= 1.36xx10^(4) "kg m"^(-3)`
Observation: Units kg `m^(-3)` provide inconvenly large value for densiy.