About this Density Calculator
Density is a measure of how much 'stuff' (mass) is packed into a given space (volume). It is a characteristic property of a substance. For example, lead has a high density, while styrofoam has a low density.
Who this calculator is for
- Students working through density, mass, and volume problems in chemistry or physics.
- Lab users checking whether a measured sample matches an expected material density.
- Anyone converting between density, mass, and volume in practical science or engineering tasks.
When to use it
- Find density when you know the mass and occupied volume of a sample.
- Estimate mass from a known material density and container or object volume.
- Work backward to volume when mass and density are already known.
How to use this calculator
- Select the variable you want to Solve For (Density, Mass, or Volume).
- Enter the two known values.
- The calculator computes the missing variable.
Key assumptions
- Mass, density, and volume are entered in compatible units.
- Volume and density must be greater than zero when they appear in the denominator.
- The calculation assumes a uniform material or average density for the sample.
Accuracy and testing
Review formula sources, default test cases, assumptions, unit handling, rounding rules, and changelog for this calculator.
How this calculator works
The formula triangle is:
* Density ($ρ$) = Mass ($m$) / Volume ($V$)
* Mass ($m$) = Density ($ρ$) × Volume ($V$)
* Volume ($V$) = Mass ($m$) / Density ($ρ$)
Inputs explained
Density
Mass per unit volume (e.g., g/cm³ or kg/m³).
Mass
The amount of matter in the object (e.g., g, kg).
Volume
The amount of space the object occupies (e.g., cm³, L).
Understanding your results
Ensure your units are consistent. If mass is in kg and volume is in $m^3$, density will be $kg/m^3$.
Example scenarios
Find Density
Mass 100g, Volume 50cm³. Density = 100/50 = 2 g/cm³.
Find Mass
Density 19.3 g/cm³ (Gold), Volume 10 cm³. Mass = 193 g.
Key Features
- Solves for any variable
- Simple Physics Logic
- Unit Agnostic
Tips & Best Practices
- Water has a density of approximately 1 g/cm³ (or 1000 kg/m³).
- Objects with a density lower than the fluid they are in will float.
Glossary of Terms
- Rho ($ρ$)
- The Greek letter commonly used to represent density.
- Specific Gravity
- The ratio of the density of a substance to the density of a reference substance (usually water).