LaTeX
\rho=\frac{m}{V}Variables
- ρ: density
- m: mass
- V: volume
How to use this formula
Calculates mass per unit volume for a material or object.
Important notes
- Use consistent units such as kg and m³.
- Density may change with temperature and pressure.
Quick example
A 2 kg object occupying 0.001 m³ has density 2000 kg/m³.
Applicability, worked calculation, and verification
Assumptions and domain checks
- Density may change with temperature and pressure.
- For the Density Formula, every denominator must be nonzero, and the numerator and denominator must remain correctly grouped.
- Use dimensionally consistent units and the sign, coordinate, and reference-frame conventions stated for the problem.
Worked example
A 2 kg object occupying 0.001 m³ has density 2000 kg/m³.
Common mistakes
- When copying Density Formula, keep the complete numerator and denominator grouped; a missing brace or parenthesis changes the result.
- Verify the result of Density Formula with a known case, inverse operation, dimensional check, or independent calculation before publishing it.
Continue the workflow
Use Density Formula in your own work
- Check the domainMatch the variables and assumptions to the problem before substituting values.
- Copy the exact notationPreserve grouping, signs, and exponents in
\rho=\frac{m}{V}. - Edit or convertOpen the expression in the LaTeX editor, then export it for your document or web page.
Review and verification
Last reviewed: 2026-07-23
Automated quality check: Kept noindex until the missing evidence is supplied.
Formula references
- College Physics 2eOpenStax, Rice University — Reviewed physical quantities, units, mechanics, energy, waves, electricity, and applied formulas.
Frequently asked questions
What is the Density Formula used for?
Calculates mass per unit volume for a material or object.
Can I copy this formula as LaTeX?
Yes. Copy \rho=\frac{m}{V} or open it in the LaTeX editor.
What should I check before using it?
Confirm that each variable, unit, domain restriction, and assumption matches the problem.