How do I convert kg/m3 to g/cm3?.
3200kg/m^3 ---> 3.2g/cm^3
The question was 3200kg/m3 = 3.2g/cm3. I don't understand the steps involved?
The Attempt at a Solution
I know how to do dimensional analysis, but I just don't really understand the logic in this. I'll go step by step and please explain this to me it is crucial!
1) 3200kg/m^3 ----> g/cm^3
2) 3200kg/m^3 * 1000kg/1g*1m^3/1*10^-6cm^3 = 3.2kg/cm^3
I just don't understand why I divide g/m^3 by a million to reach g/cm^3. Isnt one cm^3 a smaller value(or area) than a m^3? Shouldn't I be multiplying by a million?
For instance: if I don't have a density and simply convert 100m^3 to 100cm^3 the answer is 100 000 000 cm^3. This makes sense because a metre is larger than a CM thus the value will be bigger .
So, Why is this not the case for when I have a density? Why do I have to divide by a million in order to go from m^3 to cm^3 in that case and ultimately reach a smaller value.
Please help me understand where my logic goes wrong.