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Density Mass Volume Calculator

Density (ρ) is how much mass is packed into a given volume.

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How to use this calculator

Enter Values

Enter your values and press Calculate to see results.

How to use this calculator

  1. Fill in any two of the three fields: Density (kg/m³), Mass (kg) and Volume (m³). Leave the value you want to find blank.
  2. Press Calculate — the tool solves for the missing quantity using ρ = m ÷ V and also shows a handy secondary unit (g/cm³ or litres).
  3. To find density, enter mass and volume; to find mass, enter density and volume; to find volume, enter density and mass.

How it works

Density (ρ) is how much mass is packed into a given volume. The three quantities are linked by one formula, ρ = m ÷ V, which rearranges to m = ρ × V and V = m ÷ ρ. Knowing any two lets you solve for the third — this is the classic 'density triangle'.

Enter values in SI base units: kilograms for mass, cubic metres for volume, giving density in kilograms per cubic metre (kg/m³). To sanity-check, water has a density of about 1,000 kg/m³ (1 g/cm³), and 1 m³ equals 1,000 litres. The maths is exact arithmetic and assumes the material is uniform (evenly distributed) throughout the volume.

Worked example

Density of a 2,500 kg, 1 m³ concrete block. You have a block of concrete with a mass of 2,500 kg and a volume of 1 m³. Leave the Density field blank, enter Mass m = 2500 and Volume V = 1, then calculate. Density = Mass ÷ Volume = 2,500 ÷ 1 = 2,500 kg/m³ (which is 2.5 g/cm³) — a typical value for plain concrete.

Common mistakes

  • Mixing unit systems — entering grams with cubic metres, or litres in the volume field. Convert to kg and m³ first (1 g/cm³ = 1,000 kg/m³; 1 litre = 0.001 m³).
  • Leaving a volume of zero when solving for density: dividing by zero is undefined, so the tool asks for a non-zero volume.
  • Confusing density with weight or mass. Density is mass per unit volume; two objects can have the same mass but very different densities if their volumes differ.

Frequently asked questions

What is the formula for density, mass and volume?

Density equals mass divided by volume: ρ = m ÷ V. Rearranged, mass = density × volume (m = ρ × V) and volume = mass ÷ density (V = m ÷ ρ). This tool applies whichever form fits the two values you enter.

What units does the calculator use?

It uses SI base units: mass in kilograms (kg), volume in cubic metres (m³) and density in kilograms per cubic metre (kg/m³). It also shows density in g/cm³ and volume in litres for convenience. Remember 1,000 kg/m³ = 1 g/cm³ and 1 m³ = 1,000 litres.

What is the density of water?

Fresh water is about 1,000 kg/m³ (1 g/cm³, or 1 kg per litre) at around 4 °C. You can check it here by entering a mass of 1000 kg and a volume of 1 m³ to get 1,000 kg/m³.

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