Free Online Calculator

Density Calculator

Find density, mass or volume — whichever is missing — with a table of common material densities.

Last updated: Free, no sign-up Private — runs in your browser

Quick answer: how to calculate density

Density = mass ÷ volume. A 7.85 kg block with a volume of 1 litre has a density of 7,850 kg/m³ (7.85 g/cm³) — the density of steel. Rearrange to find mass (ρ × V) or volume (m ÷ ρ).

Overview of the Density Calculator

Density tells you how much mass is packed into a given volume. Pick what you want to find — density, mass or volume — and enter the other two. The calculator converts between kg/m³, g/cm³ and lb/ft³, shows the specific gravity relative to water and names the material whose density is closest to your result.

It is useful in physics and chemistry, engineering and shipping, jewellery and metalwork, and for working out whether something will float. See also the Mass Calculator and the Units Conversion Calculator.

How We Calculate Density

The three quantities are linked by one relationship.

  1. Convert mass to kilograms and volume to cubic metres.
  2. Density = mass ÷ volume.
  3. Mass = density × volume.
  4. Volume = mass ÷ density.
  5. Convert results: 1 g/cm³ = 1,000 kg/m³; 1 lb/ft³ = 16.0185 kg/m³; specific gravity = density ÷ density of water.
ρ = m ÷ V   m = ρ × V   V = m ÷ ρ
Worked examples (calculated with this tool)
QuestionAnswer
7.85 kg in 1 litre — density7,850 kg/m³
Mass of 2 L at 1 g/cm³2 kg
Volume of 19.32 kg of gold1 litres
500 g in 500 mL — density1,000 kg/m³

Densities of Common Materials

Use these typical densities as a guide; real values depend on composition and temperature.

Typical densities of common materials
MaterialDensity (kg/m³)Density (g/cm³)
Air (15 °C)1.2250.001225
Ice9170.917
Water (20 °C)9980.998
Oak wood (approx.)7500.75
Concrete2,4002.4
Glass2,5002.5
Aluminum2,7002.7
Steel7,8507.85
Iron7,8747.874
Copper8,9608.96
Silver10,49010.49
Lead11,34011.34
Mercury13,53413.534
Gold19,32019.32

Will It Float?

An object floats in a fluid if its average density is lower than the fluid's. Water is about 998 kg/m³, so wood (about 750) floats while steel (7,850) does not — though a steel ship floats because its overall shape encloses lots of air, giving it a low average density.

Density Calculator — Frequently Asked Questions

How do I calculate density?

Divide mass by volume. 500 g in 500 mL is 1 g/mL, or 1,000 kg/m³.

What is the formula for density?

ρ = m ÷ V, where ρ is density, m is mass and V is volume.

What are the units of density?

kilograms per cubic metre (kg/m³) in SI. Grams per cubic centimetre (g/cm³) and pounds per cubic foot (lb/ft³) are also common.

How do I convert g/cm³ to kg/m³?

Multiply by 1,000. Water at 1 g/cm³ is 1,000 kg/m³.

What is the density of water?

About 998 kg/m³ at 20 °C and 1,000 kg/m³ near 4 °C, where it is densest.

What is specific gravity?

The ratio of a material's density to the density of water. Gold's specific gravity is about 19.3.

How do I find mass from density?

Multiply density by volume — for example 2 litres at 1 g/cm³ has a mass of 2 kg.

How do I find volume from mass and density?

Divide the mass by the density.

Why does density change with temperature?

Most materials expand when heated, increasing volume while mass stays the same, so density falls.

Is my data stored?

No. Everything runs in your browser.

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