How do I express 3grams/cm^3 to kg/m^3?

Answer 1

1 gram is 10^(-3) Kilogram
1 cm = 10 ^ (-2) m
hence, (1 cm)^3 = [10^ (-2)] ^ 3 m
= 10^ (-6) m^3
So,
3 gms/ cm^3 = 3* 10^ (-3) kg/ 10^(-6)m^3
= 3* 10^ 3 kg/m^3
= 3,000 kg/m^3

There you go!

Answer 2

3 g/cm^3 x (100 cm/1 m)^3 x (1 kg/1000 gm)
= 3 g/cm^3 x (10^2)^3 cm^3/m^3 x (1 kg/10^3 gm)
= 3 x 10^6/10^3 kg/m^3 = 3 x 10^3 kg/m^3

Answer 3

3 g/cm^3 * 1 kg/1000 g * (100 cm/1 m)^3 = 3 * 1/1000 * 1000000 = 3000 kg/m^3