Solve for Density (ρ), Mass (m), or Volume (V) | ρ = m/V | Step-by-step solutions
Result
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📝 Step-by-step solution
Select what to calculate and enter values
💡 Common units: g/cm³, kg/m³, g/mL. Water density ≈ 1 g/cm³ at 4°C.
📖 How to Use This Density Calculator
1
Select what you want to calculate - Density (ρ), Mass (m), or Volume (V).
2
Enter the known values - For density, enter mass and volume. For mass, enter density and volume. For volume, enter mass and density.
3
Click "Calculate" - Get your result with a complete step-by-step solution.
📚 What is Density?
Density is a measure of how much mass is contained in a given volume. It is defined as mass per unit volume. The formula is: ρ = m / V, where ρ (rho) is density, m is mass, and V is volume.
Density is an intrinsic property of matter - it doesn't change based on how much of the substance you have. For example, a small piece of gold and a large gold bar both have the same density (19.3 g/cm³). This makes density useful for identifying substances.
📊 Density Formula & Unit Conversions
Density (ρ) = Mass (m) ÷ Volume (V) Mass (m) = Density (ρ) × Volume (V) Volume (V) = Mass (m) ÷ Density (ρ)
• 1 g/cm³ = 1000 kg/m³ = 1 g/mL
• Water density = 1 g/cm³ at 4°C
💡 Common Densities of Materials
Gold: 19.3 g/cm³
Mercury: 13.6 g/cm³
Lead: 11.3 g/cm³
Iron/Steel: 7.9 g/cm³
Aluminum: 2.7 g/cm³
Water: 1.0 g/cm³
Ice: 0.92 g/cm³
❓ Frequently Asked Questions
Why does ice float on water?
Ice has a density of 0.92 g/cm³, while liquid water has a density of 1.0 g/cm³. Since ice is less dense, it floats.
What is specific gravity?
Specific gravity is the ratio of a substance's density to the density of water (at 4°C). It has no units.
How does temperature affect density?
Generally, density decreases as temperature increases because materials expand.
What is the densest element?
Osmium is the densest naturally occurring element at 22.59 g/cm³.
How do I measure density experimentally?
For regular solids: measure mass and calculate volume from dimensions. For irregular solids: use water displacement.