Density Calculator

Calculate density, mass, or volume using the density formula rho = m/V. Given any two values, compute the third instantly.

Examples

Density of iron block (7874 kg, 1 m³)

Density = 7874 / 1 = 7874 kg/m³

Solve for
Density (rho = mass / volume)
Mass (m)
7,874 kg
Volume (V)
1 m³
Density
7,874 kg/m³

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How It Works

Formula

ρ=mV\rho = \frac{m}{V}

V=mρV = \frac{m}{\rho}

m=ρVm = \rho \cdot V

Variables, symbols and units

ρ\rho

Density(kg/m³)

mm

Mass(kg)

VV

Volume()
Calculation method explained

Choose what to solve for: density (given mass and volume), volume (given mass and density), or mass (given volume and density). Enter the two known values and the calculator computes the third.

Density (rho) is mass per unit volume. The calculator picks the algebraic form that matches your two known inputs and returns the missing quantity. For density mode it divides mass by volume; for volume mode it divides mass by density; for mass mode it multiplies volume by density. Stay in consistent SI units (kg and m³) to read the result in kg/m³.

References and source material

Examples

Density of iron block (7874 kg, 1 m³)Density (rho = mass / volume) · 7,874 kg7,874 kg/m³

Density = 7874 / 1 = 7874 kg/m³

Solve for
Density (rho = mass / volume)
Mass (m)
7,874 kg
Volume (V)
1 m³
Density
7,874 kg/m³
Volume of 1000 kg of water (density 1000 kg/m³)Volume (V = mass / density) · 1,000 kg1 m³

Volume = 1000 / 1000 = 1 m³

Solve for
Volume (V = mass / density)
Mass (m)
1,000 kg
Density (ρ)
1,000 kg/m³
Volume
1 m³
Mass of 1 m³ of mercury (density 13,600 kg/m³)Mass (m = volume x density) · 1 m³29,982.867657 lb

Mass = 1 × 13,600 = 13,600 kg

Solve for
Mass (m = volume x density)
Volume (V)
1 m³
Density (ρ)
13,600 kg/m³
Mass
29,982.867657 lb

Frequently Asked Questions

What is density?
Density is the mass per unit volume of a substance, symbolised by rho. The formula is rho = m/V, where m is mass and V is volume.
What units does density use?
Common units include kg/m³ (SI), g/cm³, and g/mL. Water has a density of about 1000 kg/m³ or 1 g/cm³.
What determines whether an object floats?
An object floats if its density is less than the density of the fluid it is in. For example, wood (about 500 kg/m³) floats on water (1000 kg/m³).
How should I use reference density values?
Use density values reported for the material and conditions you care about, then enter the value in consistent units.
Do conditions affect density values?
Published density values depend on the conditions they were measured at. This calculator does not apply temperature or pressure corrections, so use a value appropriate to your case.

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