1 kilogram per cubic meter equals 0.001 g/cm³. Quick way to see it:

  • 1 kg=1000 g1\text{ kg}=1000\text{ g}1 kg=1000 g
  • 1 m=100 cm⇒1 m3=1003=1,000,000 cm31\text{ m}=100\text{ cm}\Rightarrow 1\text{ m}^3=100^3=1{,}000{,}000\text{ cm}^31 m=100 cm⇒1 m3=1003=1,000,000 cm3

So,

1 kg/m3=1000 g1,000,000 cm3=0.001 g/cm31,\text{kg/m}^3=\frac{1000,\text{g}}{1{,}000{,}000,\text{cm}^3}=0.001,\text{g/cm}^31kg/m3=1,000,000cm31000g​=0.001g/cm3

Answer: 1 kg/m3=0.001 g/cm31\text{ kg/m}^3=0.001\text{ g/cm}^31 kg/m3=0.001 g/cm3.