CCalclabhub

Physics

Converting between the two metric units

A factor of 1000, never 100. Going the other way you divide by 1000 instead of multiplying.

The Formula

rho[kg/m3] = rho[g/cm3] x 1000

A factor of 1000, never 100. Going the other way you divide by 1000 instead of multiplying.

SymbolMeaning
rho (g/cm3)Density in grams per cubic centimetre
rho (kg/m3)Density in SI base units

What Each Symbol Means

rho (g/cm3)g/cm3

Density in grams per cubic centimetre

The form chemists and engineers usually quote.

rho (kg/m3)kg/m3

Density in SI base units

Exactly 1000 times the g/cm3 value, so 2 becomes 2000.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate density page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Density, filed under Science. Every number the guide produces comes from substituting into this one line.