Density Calculator

Calculate density from mass and volume, or rearrange ρ = m/V to find mass or volume when you know the density.

Density1,000.0000 kg/m³

0 – 1,000,000,000,000,000

1e-12 – 1,000,000,000,000,000

Density

1,000.0000 kg/m³

  • Grams per cubic centimeter1.0000 g/cm³

Mass and volume must describe the same sample. Density can vary with temperature, pressure and composition.

How this was calculated

  1. ρ = m ÷ VPut in your numbers: ρ = 1 kg ÷ 0.001 m³Answer: ρ = 1,000 kg/m³
  2. 1 g/cm³ equals 1,000 kg/m³.

Formula and method

Density ρ = mass/volume. One g/cm³ equals 1,000 kg/m³.

Rearranged, mass = density × volume and volume = mass ÷ density. For example, 0.002 m³ of water at about 1,000 kg/m³ has a mass of 2 kg.

Worked example

A mass of 1 kg occupying 0.001 m³ has density 1,000 kg/m³, or 1 g/cm³.

Units and conversions

Pick the mass unit (g, kg or lb), the volume unit (cm³, m³, L or ft³) and the density unit. The first step divides your numbers as entered, for example ρ = 5 g ÷ 2 cm³ = 2.5 g/cm³, and a second step converts to the density unit you chose, here 2,500 kg/m³.

The conversions use exact factors: 1 lb = 0.45359237 kg and 1 ft = 0.3048 m, so 1 lb/ft³ ≈ 16.018 kg/m³.

Frequently asked questions

How do I convert g/cm³ to kg/m³?

Multiply by 1,000. One g/cm³ equals 1 g/mL, 1 kg/L and 1,000 kg/m³, so water at about 1 g/cm³ is about 1,000 kg/m³.

Does density depend on conditions?

Yes. Temperature, pressure and composition can change density. Mass and volume should refer to the same sample under the same conditions.

References

Last updated . Results are estimates for informational purposes only.