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Density Calculator: Calculate Density, Mass & Volume

Calculate density, mass, or volume with step-by-step formulas and material reference tables.

Quick Answer:Density equals mass divided by volume (ρ = m / V). Mass = Density × Volume; Volume = Mass / Density. Water density is 1.0 g/cm³.
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How to Use the Density Calculator: Mass, Volume & Density (ρ = m / V)

  1. 1Choose what to calculate (Density, Mass, or Volume).
  2. 2Enter the two known values.
  3. 3View the third calculated property with step-by-step arithmetic.

Formula & How It Works

Volumetric Mass Density Formula

ρ = m / V | m = ρ × V | V = m / ρ

Defines mass per unit volume. Source: NIST SP 811.

Worked Examples

Calculating Density of Gold Nugget

Input: Mass = 193g, Volume = 10 cm³

Explanation: 193 / 10 = 19.3 g/cm³ (pure gold density).

Result: 19.30 g/cm³

Frequently Asked Questions

Why does ice float on water?▼

Because ice has a lower density (~0.917 g/cm³) than liquid water (1.000 g/cm³).

Quick Reference & Conversion Table

MaterialDensity (g/cm³)Density (kg/m³)
Air (20°C)0.00121.20
Pure Water (4°C)1.0001,000
Aluminum2.7002,700
Steel / Iron7.8507,850
Gold19.32019,320

⚠️ Common Pitfalls to Avoid

  • •Mixing mismatched units (e.g. dividing pounds by cubic centimeters without converting).

💡 Practical Real-World Uses

  • •Identifying mineral ores and metals by checking specific gravity.
  • •Calculating shipping weights based on material volume.
Last reviewed & updated: 2026-11-07
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