kilogram per cubic metre

Name	Symbol	Quantity	Base units
kilogram per cubic metre	kg m⁻³	density, mass concentration	kg m⁻³
The kilogram per cubic metre, symbol kg m⁻³, is the SI coherent derived unit of volumetric mass density, or mass concentration. A volume of one cubic metre containing a mass of one kilogram has a volumetric mass density of one kilogram per cubic metre.
Definition			h c^-5 Δν_Cs⁴
$1 \mspace{4mu} \text{kg} \mspace{4mu} \text{m}^{-3} \mspace{6mu} = \dfrac{(299 \mspace{4mu} 792 \mspace{4mu} 458)^5}{(6.626 \mspace{4mu} 070 \mspace{4mu} 15 \times 10^{-34})(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)^4} \mspace{6mu} \dfrac{h \mspace{4mu} {\Delta \nu _{Cs}}^4}{c^5}\\ \\ \\ 1 \mspace{4mu} \text{kg} \mspace{4mu} \text{m}^{-3} \mspace{6mu} \approx 5.117 \mspace{4mu} 855 \mspace{4mu} 617 \mspace{4mu} 606 \mspace{4mu} 822 \mspace{4mu} 686 \times10^{35} \mspace{6mu} h \mspace{4mu} c^{-5} \mspace{4mu} {\Delta \nu _{Cs}}^4$