Density
Mass per unit volume.
Physics · Mechanics · Physical quantities
Density calculator — mass, volume and density
Use ρ = m/V to calculate density, mass or volume. Choose the unknown quantity and enter the other two values.
Created v1.0
By Thibaut Grzelak, Mechanical Analysis Engineer
02
Results
Mass
Mass corresponding to the entered density and volume.
Volume
Volume occupied by the entered mass at the stated density.
Relation and numerical substitution
ρ = m / V—
Mass, volume and density are positive scalar quantities describing a uniform average density.
01Formulas and symbols
Formulas used
ρ
ρ = m / VDensity from mass divided by volume.m
m = ρ × VMass from density multiplied by volume.V
V = m / ρVolume from mass divided by density.02Assumptions and limits
Scope of validity
- Mass, volume and density are positive scalar quantities describing a uniform average density.
03Validation example
Reference numerical case
- m = 2 kg and V = 0.002 m³ give ρ = 1000 kg/m³. Conversely ρ = 1000 kg/m³ and V = 0.002 m³ give m = 2 kg.
04References
Technical references
FAQ
Is density the same as mass?
No. Mass measures the amount of matter; density relates that mass to the volume it occupies through ρ = m/V.
How do g/cm³ and kg/m³ compare?
1 g/cm³ equals 1000 kg/m³. The unit selector performs the conversion before calculation.
05Relating mass, volume and density
Density is the ratio of mass to volume. Rearranging ρ = m/V gives m = ρV and V = m/ρ, so any one of the three quantities can be obtained from the other two.
06Limits and conventions
The result is an average bulk density. The calculator does not model mixtures, porosity, temperature dependence, compressibility or spatial density gradients.
07Common mistakes
Keep mass and volume units consistent through the selectors. Do not confuse density in kg/m³ with specific gravity, which is dimensionless.