Hi, I had some questions related to density. In my Physics book it says, for example, aluminum has the density of 2700 kg/m3(squared) and 2.7 g/cm3(squared). Won't there be more then just 2.7 grams packed into cm3? How is this calculated?

I'm also not understanding how 1 g/cm3 can be equal to 1000 kg/m3. I've seen the formula but how is this physically possible?

My last question is, how is 1 kg/m3 equal to 10,000 kg/cm3?

My brain is really boggled by these, it would be great if you could explain them.

Thanks you!

It has to do with changes being made to each side of the ratio...

2700 kg/m^3 =
2,700,000 g/m^3 =
2.7 g/cm^3

Multiply by 1000 to convert from kg/m^3 to g/m^3.
[1 kg = 1000 g]

Divide by 1,000,000 to convert from g/m^3 to g/cm^3
[1 cubic meter = 1 million cubic centimetres]

Hope that helps, but if not let me know!

It has to do with changes being made to each side of the ratio...

2700 kg/m^3 =
2,700,000 g/m^3 =
2.7 g/cm^3

Multiply by 1000 to convert from kg/m^3 to g/m^3.
[1 kg = 1000 g]

Divide by 1,000,000 to convert from g/m^3 to g/cm^3
[1 cubic meter = 1 million cubic centimetres]

Hope that helps, but if not let me know!

Ok I get it! Thanks a lot!