Density Calculator

Enter mass and volume. You get ρ in kg/m³. Volume stays SI (m³), as in school physics.

With water density, compute hydrostatic pressure or buoyant force. Weight from mass: F = m·a.

Inputs

Result

Enter values. The result shows up here.

How it works

m V ρ = m / V kg/m³
Density is mass per volume. Water in SI is about 1000 kg/m³.

Density ρ = m/V tells how much mass sits in a given volume. Room-temperature water is about 1000 kg/m³. A one-litre carton is V = 0.001 m³, so m = ρ·V ≈ 1 kg.

Volume in this calculator is always in m³ (SI). We do not switch it to cubic feet, to keep conversion factors safe. If you have litres: 1 L = 0.001 m³. For cm³: 1 cm³ = 10⁻⁶ m³.

Density feeds liquid pressure (p = ρ·g·h) and buoyancy (F = ρ·V·g). Once you know ρ, open hydrostatic pressure or buoyant force.

Mass and volume must be positive. The result is in kg/m³. Gases are far less dense than liquids; metals are usually much denser.

How to use

  1. Enter mass m in kilograms (US switch converts to pounds).
  2. Enter volume V in m³ (always SI).
  3. Read ρ = m/V in kg/m³.
  4. The chart shows ρ at fixed mass while volume changes.

Formula

ρ = m / V

SI unit: kg/m3. Volume always in m3.

Real-life examples

Water: 1 kg in 0.001 m³

m = 1 kg, V = 0.001 m³ → ρ ≈ 1000 kg/m³.

Oil 0.9 kg / 0.001 m³

Lighter than water: m = 0.9 kg, V = 0.001 m³.

Room air (scale)

m ≈ 1.2 kg in V = 1 m³.

Steel: 7.8 kg / 0.001 m³

m = 7.8 kg, V = 0.001 m³.

Floating wood

m = 0.6 kg in V = 0.001 m³.

Ice cube 0.92 kg

m = 0.92 kg, V = 0.001 m³.

Concrete 2.4 kg / litre

m = 2.4 kg, V = 0.001 m³.

Copper 8.9 kg / litre

m = 8.9 kg, V = 0.001 m³.

Bag 25 kg / 0.02 m³

m = 25 kg, V = 0.02 m³.

Drop 1 g / 1 cm³

m = 0.001 kg, V = 0.000001 m³.

Ways to use this calculator

  • Check whether a substance is denser than water.
  • Turn a sample mass into ρ when volume is known.

Frequently asked questions

What is the density of water?

About 1000 kg/m³ (it depends slightly on temperature). One litre then weighs about 1 kg.

Why is volume only in m³?

Volume stays SI (m³), as in US school physics too.

How do I convert litres to m³?

1 L = 0.001 m³. One hundred litres is 0.1 m³.

Does ρ depend on g?

No. Density is m/V. g appears later in pressure and buoyancy.

How does this link to buoyancy?

Buoyant force F = ρ·V·g uses liquid density. See buoyant force.

How does this link to water pressure?

p = ρ·g·h. Open hydrostatic pressure.

Why are m ≤ 0 or V ≤ 0 rejected?

Mass and volume must be positive. Zero or negative values are not physical here.

How is density different from specific weight?

Density is m/V. Specific weight is ρ·g (force per volume).

Can I get mass from ρ and V?

Yes: m = ρ·V. This page computes ρ from m and V; check the inverse with the water example.

What units does the result use?

Always kg/m³. The mass field may switch to lb, but density stays in SI.

Where is pressure p = F/S?

Canonical page: pressure p = F/S.