Calculators/Physics/Density calculator

Density calculator

ρ = m / V · material densities

Density calculator — illustration

Leave one field empty — I'll compute it. Tip: 1 dm³ = 0.001 m³, 1 g/cm³ = 1000 kg/m³.

ρ
2,000 kg/m³

ρ = m / V. Density tells you how much mass fits in a unit of volume — it decides whether a body floats (less dense than the fluid) or sinks.

Density tells you how much mass fits in a unit of volume:

ρ=mV\rho=\frac{m}{V}

Enter two of the three quantities (ρ\rho, mm, VV) and the calculator works out the third. The SI unit of density is kg/m³, but g/cm³ is often convenient (1 gcm3=1000 kgm31\ \tfrac{\text{g}}{\text{cm}^3}=1000\ \tfrac{\text{kg}}{\text{m}^3}).

Density decides floating: a body less dense than the fluid floats on its surface, a denser one sinks. The presets contain typical values (water 1000, iron 7870, gold 19 300 kg/m³).

Examples

m = 2 kg, V = 0.001 m³
→ ρ = 2000 kg/m³
Gold (ρ = 19 300), V = 0.0001 m³
→ m = 1.93 kg

Frequently asked questions

How do I convert g/cm³ to kg/m³?+

Multiply by 1000. For example, the density of water 1 g/cm³ = 1000 kg/m³. Remember too: 1 dm³ = 0.001 m³.

Why does a steel ship float even though steel sinks?+

Because what matters is the average density of the whole ship (with the air in its hull), which is lower than the density of water. A solid block of steel sinks.

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