i don't understand how density of 1g/cm^3 is the same as 1kg/m^3...

Question

amistre64 · Answer

have you tried some dimensional analysis on it?

amistre64 · Answer

1000g = 1 kg

100 cm = 1 m


    g             kg        (100cm)^3
------ *  ------ * ----------
(cm)^3     1000g         m^3


    1             kg         100^3
------ *  ------ * ----------
    1           1000         m^3


    kg         10^6
 ------ * ----------
  10^3         m^3


              kg
10^3   -----
             m^3


make sure i didnt make any errors of course

anonymous · Answer

oh ok, my conversions were wrong, I tried to do everything at once.. thank you!