The standard international unit for measuring density is kilograms per cubic metrer (kg/m3).
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Density unit is mass / volume. SI unit for dendity is kg/m3.
The unit of length in SI is metre (m). The unit of mass in SI is kilogram (kg). The unit of volume in SI is litre (L). The derived unit of density in SI is Mg/m3 (or g/cm3). Length, mass, density, volume are not units but characteristics of materials and objects.
The correct units for mass are kilograms (kg) and for density are kilograms per cubic meter (kg/m^3).
density
In the SI system the unit of density is kilograms per cubic meter.