Utilnaro

Measurements and matter

Density, mass and volume

Calculate mass density, mass, or volume using compatible metric units.

Formula

ρ=mV ρ = m / V

Mass density is the mass of a sample divided by the volume it occupies.

Density, mass and volume calculator

What do you want to calculate?

Known values

The result updates automatically.

Result

1,000 kg/m³

Substitution and calculation

ρ = m / V = 2 kg / 0.002 m³ = 1,000 kg/m³

Symbols and units

SymbolQuantitySISupported units
ρmass densityMass per unit volume under the stated conditions.kg/m³kg/m³, g/cm³
mmassMass of the measured sample.kgkg, g
VvolumeVolume occupied by the measured sample.m³m³, L, cm³

Formula rearrangements

Calculate density

ρ = m / V

Calculate mass

m = ρ × V

Calculate volume

V = m / ρ

Worked examples

Density of a metal sample

A sample has a mass of 2.7 kg and a volume of 0.001 m³. Find its density.

  1. 1Step 1: Use ρ = m / V.
  2. 2Step 2: Substitute m = 2.7 kg and V = 0.001 m³.
  3. 3Step 3: Divide to obtain 2700 kg/m³.

Result: 2,700 kg/m³

Mass from density and volume

A liquid has a density of 1 g/cm³ and a volume of 250 cm³. Find its mass.

  1. 1Step 1: Use m = ρ × V.
  2. 2Step 2: Substitute ρ = 1 g/cm³ and V = 250 cm³.
  3. 3Step 3: Multiply to obtain 250 g.

Result: 250 g

Sources and review