Density Calculator

Density Calculator

Calculate density, mass, or volume with instant multi-unit conversions, Archimedes buoyancy analysis, and material benchmark identification.

Calculated Density
2.70 g/cm³
Specific Gravity: 2.7000 • 2,700 kg/m³ • 168.56 lb/ft³ • Sinks in Water
Physical / Hydrodynamic Metric Calculated Value & Benchmark
Density (CGS Metric Base) 2.7000 g/cm³ (2.7000 g/mL)
Density (SI Standard Base) 2,700.00 kg/m³ (2.7000 kg/L)
Density (US Engineering) 168.56 lb/ft³ (0.0975 lb/in³)
Liquid Volume Density 22.53 lb/gal (US)
Specific Gravity (vs Water at 4°C) 2.7000 (Dimensionless)
Water Buoyancy Status Sinks (Negative Buoyancy)
Displaced Water Mass 200.00 g (0.441 lb)
Buoyant Force in Water (Fb) 1.961 N (0.441 lbf)
Apparent Submerged Mass 340.00 g (0.750 lb)
Apparent Weight Reduction 37.0% lighter submerged
Closest Material Benchmark Aluminum (2.70 g/cm³)
Buoyancy Dynamics
Negative Buoyancy: Specific gravity of 2.70 exceeds 1.0, causing the object to sink completely in both fresh and salt water.
Archimedes Uplift
Submerged Lightening: Displacing 200.0 cm³ of water provides 1.96 N of buoyant uplift, reducing effective scale mass from 540.0 g down to 340.0 g.
Material Identification
Light Structural Metals: Measured density exactly matches pure solid aluminum (~2.70 g/cm³) and is near window glass and granite (2.5–2.7 g/cm³).
Unit Equivalence
Exact Conversions: 1.0 g/cm³ equals 1.0 g/mL, 1.0 kg/L, and 1,000 kg/m³, making pure water (1.00 g/cm³) the universal reference metric.
Density Spectrum & Buoyancy Gauge Native Vector SVG
0 1.0 (Water) 3.0 9.0 23+ 2.70 g/cm³ Specific Gravity: 2.7000 • Sinks in Water Float Zone (<1.0) Light Solids Metals Dense (>9.0)
Floats in Water (<1.0 g/cm³) Light Solids (1.0–3.0) Structural Metals (3.0–9.0) Precious & Heavy (>9.0)
Mathematical Derivation & Substituted Steps
1. Governing Equation:
ρ = m / V
2. Substituted Values:
ρ = 540.00 g / 200.00 cm³
3. Final Result & Specific Gravity:
ρ = 2.7000 g/cm³ = 2,700.00 kg/m³ | Specific Gravity (SG) = 2.7000
* Results are estimates for educational and planning purposes only and do not constitute formal financial, medical, or engineering advice.

Comprehensive Material Density & Buoyancy Reference Table

Standard reference densities for common solids, liquids, and gases at standard ambient temperature and pressure (20°C, 1 atm), with corresponding water buoyancy behavior.

Material / Substance Category / State Density (g/cm³) Density (kg/m³) Density (lb/ft³) Specific Gravity Water Buoyancy
Dry Air (sea level, 20°C) Gas 0.0012 1.20 0.075 0.0012 Floats (Gas)
Styrofoam / EPS Polymer Foam 0.050 50.0 3.12 0.050 Floats (95% Freeboard)
Natural Cork Wood 0.240 240.0 14.98 0.240 Floats (76% Freeboard)
Pine / Softwood Timber 0.500 500.0 31.21 0.500 Floats (50% Submerged)
Oak / Hardwood Timber 0.750 750.0 46.82 0.750 Floats (75% Submerged)
Solid Ice (0°C) Solid 0.917 917.0 57.25 0.917 Floats (91.7% Submerged)
Vegetable / Olive Oil Liquid 0.920 920.0 57.43 0.920 Floats on Water
Pure Water (4°C Standard) Liquid (Reference) 1.000 1,000.0 62.43 1.000 Neutral Baseline
Natural Seawater Saline Liquid 1.025 1,025.0 63.99 1.025 Sinks in Fresh Water
Whole Milk Liquid 1.030 1,030.0 64.30 1.030 Sinks Slowly
Structural Concrete Mineral / Masonry 2.400 2,400.0 149.83 2.400 Sinks (Negative)
Window Glass / Silica Ceramic / Glass 2.500 2,500.0 156.07 2.500 Sinks (Negative)
Pure Aluminum (6061) Light Metal 2.700 2,700.0 168.56 2.700 Sinks (Negative)
Titanium (Grade 5) Structural Metal 4.430 4,430.0 276.56 4.430 Sinks (Negative)
Cast Iron Ferrous Metal 7.200 7,200.0 449.48 7.200 Sinks (Negative)
Carbon Steel (A36 / 1018) Ferrous Metal 7.850 7,850.0 490.06 7.850 Sinks (Negative)
Yellow Brass Copper Alloy 8.470 8,470.0 528.76 8.470 Sinks (Negative)
Pure Copper Non-Ferrous Metal 8.960 8,960.0 559.35 8.960 Sinks (Negative)
Pure Silver Precious Metal 10.490 10,490.0 654.87 10.490 Sinks (Negative)
Solid Lead Heavy Metal 11.340 11,340.0 707.93 11.340 Sinks (Negative)
Liquid Mercury (20°C) Liquid Metal 13.550 13,550.0 845.90 13.550 Sinks in Water / Floats Lead
Pure Gold (24 Karat) Precious Metal 19.320 19,320.0 1,206.11 19.320 Sinks (Negative)
Pure Platinum Precious Metal 21.450 21,450.0 1,339.08 21.450 Sinks (Negative)
Osmium (Densest Element) Transition Metal 22.590 22,590.0 1,410.25 22.590 Sinks (Maximum Density)

About This Density Calculator

Density is an intrinsic physical property of matter that quantifies how tightly a substance's mass is packed within a given volume. This calculator solves three interrelated physical equations dynamically: computing density from mass and volume, determining required mass from density and volume, or calculating volume from mass and density. Built-in hydrodynamic logic applies Archimedes' principle to evaluate buoyancy in pure water, compute displaced mass, and predict whether an object will float, remain suspended, or sink.

Mathematical Formulas & Illustrative Example

The fundamental relationship between mass (m), volume (V), and density (ρ) is expressed through three equivalent algebraic rearrangements:

  • Density Formula: ρ = m / V
  • Mass Formula: m = ρ × V
  • Volume Formula: V = m / ρ
  • Specific Gravity (SG): SG = ρ / ρwater = ρ (in g/cm³) / 1.000 g/cm³
  • Archimedes Buoyant Force: Fb = mdisplaced × g = (V × ρfluid) × g

Illustrative Calculation Walkthrough: Solid Aluminum Ingot

Suppose a precision-machined solid metal sample weighs 540.0 grams and displaces exactly 200.0 cubic centimeters of water in a graduated cylinder:

  1. Step 1 (Density Calculation): Apply ρ = m / V = 540.0 g / 200.0 cm³ = 2.70 g/cm³.
  2. Step 2 (SI Metric Standard Conversion): Multiply by 1,000 to convert to kilograms per cubic meter: 2.70 × 1,000 = 2,700.0 kg/m³.
  3. Step 3 (US Customary Conversion): Multiply by 62.428 to convert to pounds per cubic foot: 2.70 × 62.428 = 168.56 lb/ft³.
  4. Step 4 (Specific Gravity & Buoyancy): Compare against pure water (1.00 g/cm³): SG = 2.70 / 1.00 = 2.70. Because SG > 1.0, the ingot sinks with an underwater apparent mass of 540.0 g − 200.0 g = 340.0 g (a 37.0% weight reduction due to buoyant force).

How to Use This Calculator

  1. Select Calculation Mode: Choose the tab corresponding to the unknown variable you wish to solve for: Find Density, Find Mass, or Find Volume.
  2. Enter Known Values & Choose Units: Input your known measurements using the dual number boxes or sliders. Select matching metric or US customary units from each dropdown.
  3. Optional Shape Volume Helper: If measuring a physical object with calipers or a ruler, expand the Object Geometry Helper to automatically calculate volume from length, width, diameter, or height.
  4. Inspect Results & Gauge: Review the blue headline answer, multi-unit breakdown table, Archimedes buoyancy analysis, and the interactive density spectrum gauge.

Why Use This Density Calculator?

  • Material Verification & Purity Testing: Confirm whether a metal sample is genuine 24k gold (19.32 g/cm³), sterling silver (10.49 g/cm³), or cast aluminum (2.70 g/cm³).
  • Naval & Marine Engineering: Predict cargo displacement, ballast requirements, draft depth, and reserve buoyancy before placing structures in water.
  • Lossless Multi-Unit Conversions: Seamlessly translate laboratory measurements (g/cm³, mL) into structural engineering units (lb/ft³, kg/m³, lb/gal).
  • Integrated Caliper Dimension Solver: Skip manual multi-step volume formulas for cylinders, spheres, and rectangular blocks.

Important Technical Terms

  • Density (ρ): An intensive physical property defining mass per unit volume (kg/m³ or g/cm³). Unchanged by the size or shape of a homogeneous material.
  • Mass (m): The quantitative measure of inertia and matter contained within an object, independent of local gravitational acceleration.
  • Volume (V): The quantity of three-dimensional space enclosed by a closed surface or occupied by a substance.
  • Specific Gravity (SG): Dimensionless ratio comparing a substance's density to that of pure water at 4°C (1.000 g/cm³).
  • Buoyant Force (Fb): The upward net vertical pressure force exerted by a fluid upon any object immersed in it, exactly equal to the weight of fluid displaced.
  • Archimedes' Principle: A fundamental physical law stating that any body partially or completely submerged in a fluid is buoyed upward by a force equal to the weight of displaced fluid.

Frequently Asked Questions

What is the fundamental difference between mass and density? +
Mass is an extensive property that measures the total quantity of matter in an object (expressed in grams, kilograms, or pounds). Density is an intensive property that describes how tightly that matter is packed into a given space (mass divided by volume). A 10-gram aluminum pellet and a 10-kilogram aluminum beam share the exact same density (2.70 g/cm³), despite having radically different masses.
How do temperature and pressure variations affect density? +
For solids and liquids, temperature increases cause thermal expansion, which increases volume and slightly decreases density, while pressure increases cause minor compression. For gases, density is governed by the Ideal Gas Law (ρ = P / (R_specific × T)), meaning gas density is directly proportional to absolute pressure and inversely proportional to absolute temperature.
Why does solid water ice float on liquid water? +
Water exhibits an anomalous expansion density peak at 4°C (1.000 g/cm³). As liquid water cools below 4°C and freezes into solid ice crystals at 0°C, its hydrogen bonds organize into an open hexagonal lattice. This open structure expands water's volume by approximately 9%, reducing its density to 0.917 g/cm³. Because 0.917 is less than 1.000, ice floats with exactly 91.7% of its volume submerged.
Why does specific gravity have no units? +
Specific gravity (SG) is defined as the ratio of a substance's density to the density of pure water at 4°C. Because the calculation divides two identical measurement units (such as g/cm³ divided by g/cm³ or lb/ft³ divided by lb/ft³), the dimensional units cancel out completely. In the metric CGS system, the numerical value of specific gravity is identical to density in g/cm³.
How do I determine the volume of an irregularly shaped solid object? +
Use the liquid displacement method discovered by Archimedes: fill a graduated cylinder or overflow beaker with water to a known initial level (V1). Carefully submerge the solid object completely, ensuring no bubbles adhere to its surface. Note the new water level (V2). The object's exact solid volume is equal to the displaced fluid volume: V = V2 − V1.