Solve for Density (ρ), Mass (m), or Volume (V) | ρ = m/V | Step-by-step solutions
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📝 Step-by-step solution
Select what to calculate and enter values
💡 Common units: g/cm³, kg/m³, g/mL. Mass in grams/kg, volume in cm³/m³/L. 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)
Common density units:
• 1 g/cm³ = 1000 kg/m³ = 1 g/mL
• Water density = 1 g/cm³ at 4°C
• Air density ≈ 0.0012 g/cm³ at sea level
💡 Common Densities of Materials
Gold: 19.3 g/cm³ (densest common metal)
Mercury: 13.6 g/cm³ (liquid metal)
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 (floats on water)
Wood (oak): 0.75 g/cm³ (floats)
Gasoline: 0.74 g/cm³ (floats on water)
Air: 0.0012 g/cm³
🔬 Applications of Density
Identifying materials: Each substance has a unique density
Buoyancy prediction: Objects float if less dense than fluid
Quality control: Checking purity of metals and liquids
Geology: Distinguishing minerals and rocks
Medical imaging: Bone density scans (DEXA)
Environmental science: Oil spills (oil floats on water)
❓ Frequently Asked Questions (FAQ)
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. This unusual property is due to the crystal structure of ice, which is less dense than liquid water.
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. Specific gravity > 1 means the substance sinks in water; < 1 means it floats.
How does temperature affect density?
Generally, density decreases as temperature increases because materials expand (mass stays same, volume increases). Water is an exception between 0-4°C (becomes less dense when frozen).
What is the densest element?
Osmium is the densest naturally occurring element at 22.59 g/cm³. Iridium is second at 22.56 g/cm³. Both are about twice as dense as lead.
How do I measure density experimentally?
For regular solids: measure mass on a scale, calculate volume from dimensions. For irregular solids: use water displacement (Archimedes' principle). For liquids: use a graduated cylinder and scale.
What is bulk density vs true density?
True density excludes pore spaces (only solid material). Bulk density includes pore spaces and is lower. Bulk density is used for soil, powders, and construction materials.