how do you convert g/mm^3 to kg/m^3

1000 g = 1 kg

1 g = (1/1000) kg

1000 mm = 1 m
1 mm = 1/(1000) m

g/mm^3
= (1/1000)/(1/1000)^3 kg/m^3
= 1/(1/1000)^2 kg/m^3
= 1000000 kg/m^3