Density Calculator

Calculate density from mass and volume, calculate mass from density and volume, or calculate volume from density and mass with step-by-step solutions.

Your Input

Select a calculation type (density, mass, volume, or convert), enter values and units, then click Calculate to see the result and step-by-step solution.

Complete User Guide

What is Density?

Density is a physical property that measures the mass per unit volume of a substance. It is calculated using the formula: Density = Mass ÷ Volume. Density helps identify materials, determine purity, and understand physical properties. Different materials have different densities - for example, water has a density of 1000 kg/m³, while gold has a density of 19,300 kg/m³.

How to Use This Calculator

  1. Select a calculation type from the dropdown (Calculate Density, Calculate Mass, Calculate Volume, or Convert Units).
  2. Enter the required values and select units.
  3. Click Calculate to see the result and step-by-step solution.
  4. Use Reset to clear and hide results.

Calculation Types

Calculate Density

Enter mass and volume to calculate density. Formula: Density = Mass ÷ Volume.

Calculate Mass

Enter density and volume to calculate mass. Formula: Mass = Density × Volume.

Calculate Volume

Enter density and mass to calculate volume. Formula: Volume = Mass ÷ Density.

Convert Units

Convert density values between different units (kg/m³, g/cm³, lb/ft³, etc.).

Density Formula

Density Formula:

ρ = m / V

Where:

  • ρ (rho) = Density
  • m = Mass
  • V = Volume

This formula can be rearranged to solve for any of the three variables: Density = Mass ÷ Volume, Mass = Density × Volume, or Volume = Mass ÷ Density.

Common Material Densities

Material Density (kg/m³)
Water1,000
Air1.225
Aluminum2,700
Iron7,870
Gold19,300
Lead11,340

Important Notes

  • All values must be positive (greater than zero).
  • Density is temperature-dependent for most materials.
  • The calculator uses standard conversion factors for unit conversions.
  • Results are rounded for display but calculations use full precision.
  • For accurate results, ensure consistent units throughout your calculation.

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