Density Calculator
Solve density, mass or volume from the other two, with 121 sourced material densities, relative density, a float-or-sink verdict and the working shown step by step.
Material
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Gases
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Building and construction
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Rocks, minerals and earth
Everyday materials
No material matches that.
Pick a material to fill the density field, or leave it on custom and type your own.
Auto keeps about six significant figures.
Density
2.5 g/cm³
2,500 kg/m³ in SI units
Relative density
2.50006
against water at 4 °C
In water
Sinks
Closest material
Graphite
2,500 kg/m³, 0% from yours
ρ = 250 g ÷ 100 cm³ = 2.5 g/cm³
A cube holding this volume measures 4.64159 cm on a side.
This material is published as a range, —–— kg/m³. The figure filled in is the midpoint — narrow it if you know your own sample.
Gas densities are quoted at 20 °C and 101.325 kPa. Change either and this number changes with it.
A volume of zero has no density: there is nothing to divide by. Enter a volume above zero.
Volume from a shape
Know the shape but not the volume? Give its dimensions and the volume is worked out for you.
Volume from these dimensions
The working, step by step
| Step | Value |
|---|---|
| Mass in SI | 0.25 kg |
| Volume in SI | 1 × 10⁻⁴ m³ |
| Density = mass ÷ volume | 2,500 kg/m³ |
| In your chosen unit | 2.5 g/cm³ |
Both given values are converted to SI first, which is where the unit mistakes happen.
Your answer in other units
| Unit | Value |
|---|---|
| kg/m³ | 2,500 |
| g/cm³ | 2.5 |
| g/mL | 2.5 |
| kg/L | 2.5 |
| lb/ft³ | 156.07 |
| lb/in³ | 0.0903182 |
| oz/gal (US) | 333.816 |
| slug/ft³ | 4.8508 |
| g/L | 2,500 |
The same answer, expressed in each unit of its own kind.
Material density reference
| Material | kg/m³ | Range | Source |
|---|---|---|---|
| Hydrogen (H₂) | 0.0837523 | NIST Chemistry WebBook | |
| Helium (He) | 0.166311 | NIST Chemistry WebBook | |
| Methane (CH₄) | 0.66816 | NIST Chemistry WebBook | |
| Nitrogen (N₂) | 1.16483 | NIST Chemistry WebBook | |
| Air (dry) | 1.205 | NIST (compounds) | |
| Oxygen (O₂) | 1.33118 | NIST Chemistry WebBook | |
| Argon (Ar) | 1.66182 | NIST Chemistry WebBook | |
| Carbon dioxide (CO₂) | 1.83934 | NIST Chemistry WebBook | |
| Propane (C₃H₈) | 1.86499 | NIST Chemistry WebBook | |
| Glass wool | 25 | Engineering reference | |
| Snow (fresh) | 100 | Engineering reference | |
| Balsa | 125 | 110–140 | Engineering reference |
| Rubber foam | 155 | 60–250 | Engineering reference |
| Cork | 225 | 200–250 | Engineering reference |
| Bamboo | 355 | 310–400 | Engineering reference |
| Pine (yellow) | 420 | Engineering reference | |
| Pine (white) | 425 | 350–500 | Engineering reference |
| Cedar | 530 | 490–570 | Engineering reference |
| Lithium | 534 | NIST (elements) | |
| Spruce | 630 | 480–780 | Engineering reference |
| Birch | 640 | 510–770 | Engineering reference |
| Walnut | 670 | 640–700 | Engineering reference |
| Mahogany | 675 | 500–850 | Engineering reference |
| Maple | 685 | 620–750 | Engineering reference |
| Concrete (lightweight) | 725 | 450–1,000 | Engineering reference |
| Gasoline (petrol) | 737 | Engineering reference | |
| Oak | 750 | 600–900 | Engineering reference |
| Ash (white) | 750 | 650–850 | Engineering reference |
| Cherry | 765 | 630–900 | Engineering reference |
| Acetone | 784.6 | Engineering reference | |
| Ethanol | 789 | Engineering reference | |
| Methanol | 791.01 | NIST Chemistry WebBook | |
| Beech | 800 | 700–900 | Engineering reference |
| Plasterboard (drywall) | 800 | Engineering reference | |
| Teak | 820 | 660–980 | Engineering reference |
| Kerosene (paraffin) | 820.1 | Engineering reference | |
| Turpentine | 870 | Engineering reference | |
| Benzene | 873.8 | Engineering reference | |
| Diesel fuel | 885 | 820–950 | Engineering reference |
| Motor oil | 900 | Engineering reference | |
| Olive oil | 911 | Engineering reference | |
| Ice | 917 | Engineering reference | |
| Rubber (pure gum) | 920 | 910–930 | Engineering reference |
| Paper | 925 | 700–1,150 | Engineering reference |
| Polyethylene (PE) | 930 | NIST (compounds) | |
| Body fat | 950 | NIST (compounds) | |
| Sodium | 971 | NIST (elements) | |
| Water | 998.21 | NIST Chemistry WebBook | |
| Seawater | 1,025 | Engineering reference | |
| Milk | 1,035 | 1,020–1,050 | Engineering reference |
| Muscle | 1,050 | NIST (compounds) | |
| Polystyrene (PS) | 1,060 | NIST (compounds) | |
| Human body (soft tissue) | 1,060 | NIST (compounds) | |
| Blood | 1,060 | NIST (compounds) | |
| Acrylic (PMMA) | 1,190 | NIST (compounds) | |
| Rubber (hard) | 1,200 | Engineering reference | |
| Ebony | 1,220 | 1,110–1,330 | Engineering reference |
| Glycerin | 1,249 | Engineering reference | |
| Bakelite | 1,250 | NIST (compounds) | |
| Coal (bituminous) | 1,350 | 1,200–1,500 | Engineering reference |
| PET (Mylar) | 1,380 | NIST (compounds) | |
| PVC | 1,406 | NIST (compounds) | |
| Cement (Portland, loose) | 1,500 | Engineering reference | |
| Sand (dry) | 1,500 | 1,400–1,600 | Engineering reference |
| Calcium | 1,550 | NIST (elements) | |
| Coal (anthracite) | 1,600 | 1,400–1,800 | Engineering reference |
| Magnesium | 1,740 | NIST (elements) | |
| Sealing wax | 1,800 | Engineering reference | |
| Beryllium | 1,848 | NIST (elements) | |
| Brick (common) | 1,900 | 1,400–2,400 | Engineering reference |
| Bone (cortical) | 1,920 | NIST (compounds) | |
| Soil | 2,050 | Engineering reference | |
| Clay | 2,200 | 1,800–2,600 | Engineering reference |
| Glass (borosilicate / Pyrex) | 2,230 | NIST (compounds) | |
| PTFE (Teflon) | 2,250 | NIST (compounds) | |
| Sandstone | 2,250 | 2,100–2,400 | Engineering reference |
| Concrete (ordinary) | 2,300 | NIST (compounds) | |
| Firebrick | 2,300 | Engineering reference | |
| Silicon | 2,330 | NIST (elements) | |
| Chalk | 2,350 | 1,900–2,800 | Engineering reference |
| Asphalt (compacted) | 2,360 | Engineering reference | |
| Graphite | 2,500 | 2,300–2,700 | Engineering reference |
| Glass (common) | 2,600 | 2,400–2,800 | Engineering reference |
| Quartz | 2,650 | Engineering reference | |
| Aluminum | 2,699 | NIST (elements) | |
| Granite | 2,700 | 2,600–2,800 | Engineering reference |
| Marble | 2,700 | 2,600–2,800 | Engineering reference |
| Limestone | 2,750 | 2,700–2,800 | Engineering reference |
| Basalt | 2,750 | 2,400–3,100 | Engineering reference |
| Duralumin | 2,790 | Engineering reference | |
| Slate | 2,950 | 2,600–3,300 | Engineering reference |
| Diamond | 3,250 | 3,000–3,500 | Engineering reference |
| Titanium | 4,540 | NIST (elements) | |
| Glass (lead) | 6,220 | NIST (compounds) | |
| Zinc | 7,133 | NIST (elements) | |
| Chromium | 7,180 | NIST (elements) | |
| Cast iron | 7,300 | 6,800–7,800 | Engineering reference |
| Tin | 7,310 | NIST (elements) | |
| Manganese | 7,440 | NIST (elements) | |
| Stainless steel | 7,740 | 7,480–8,000 | Engineering reference |
| Wrought iron | 7,750 | Engineering reference | |
| Steel (carbon) | 7,850 | Engineering reference | |
| Iron | 7,874 | NIST (elements) | |
| Bronze | 8,150 | 7,400–8,900 | Engineering reference |
| Inconel | 8,497 | Engineering reference | |
| Brass | 8,550 | 8,400–8,700 | Engineering reference |
| Monel | 8,600 | 8,360–8,840 | Engineering reference |
| Solder (50/50 Pb-Sn) | 8,885 | Engineering reference | |
| Cobalt | 8,900 | NIST (elements) | |
| Nickel | 8,902 | NIST (elements) | |
| Copper | 8,960 | NIST (elements) | |
| Molybdenum | 10,220 | NIST (elements) | |
| Silver | 10,500 | NIST (elements) | |
| Lead | 11,350 | NIST (elements) | |
| Mercury | 13,550 | NIST (elements) | |
| Uranium | 18,950 | NIST (elements) | |
| Tungsten | 19,300 | NIST (elements) | |
| Gold | 19,320 | NIST (elements) | |
| Platinum | 21,450 | NIST (elements) | |
| Iridium | 22,420 | NIST (elements) | |
| Osmium | 22,570 | NIST (elements) |
Values from NIST are single-valued constants at a stated condition. Alloys, woods, rocks and aggregates are published as a span, and the figure shown is its midpoint.
What changes a density
Density falls as temperature rises, because the same mass takes up more room. For solids the change is small — under a tenth of a percent over normal room temperatures — and liquids move rather more: water shifts about 0.1% over five degrees, ethanol nearly ten times that. Water is the famous exception: it is densest near 4 °C, not at freezing, which is why lakes ice over from the top.
A gas has no single density. Every gas figure here is quoted at 20 °C and 101.325 kPa; the same gas at 0 °C is about 7% denser, which is the number most tables print without saying which one it is.
A powder, a soil or an aggregate measured by the space it fills gives BULK density, not the density of the material itself — the voids between the grains are counted as if they were solid. The two differ by a third or more for dry sand.
Already have a density and just need it in other units? Open the density conversion tool.
Density calculator. Density, mass or volume from the other two.
What Is Density?
How to Calculate Density from Mass and Volume
The Density Formula and Its Two Rearrangements
- = Density — mass per unit volume, in kg/m³ (SI) or g/cm³. The Greek letter is read "rho"
- = Mass of the sample, in kilograms in SI. Mass, not weight: a force in newtons or pounds-force is a different quantity
- = Volume the sample occupies, in cubic meters in SI. Measured, calculated from dimensions, or found by displacement
Worked Density Examples
The classroom case: 250 g in 100 cm³
Mass from density and volume: an aluminum block
Volume from mass and density: 250 g of gold
Does it float? An oak beam at 2 kg and 2.5 L
Trade units: what a cubic foot of steel weighs
The air in a room weighs more than you expect
Density of Common Materials
| Material | kg/m³ | g/cm³ | Notes |
|---|---|---|---|
| Hydrogen | 0.0838 | 0.0000838 | Gas at 20 °C, 101.325 kPa — lightest entry in the table |
| Dry air | 1.205 | 0.001205 | At 20 °C, 101.325 kPa; the reference for gas relative density |
| Balsa | 125 | 0.125 | Published range 110–140; midpoint shown |
| Oak | 750 | 0.750 | Published range 600–900; midpoint shown |
| Ice | 917 | 0.917 | Floats, 91.7% submerged in fresh water |
| Polyethylene | 930 | 0.930 | NIST compounds table |
| Water | 998.21 | 0.99821 | At 20 °C; peaks at 999.975 kg/m³ near 4 °C |
| Seawater | 1,025 | 1.025 | At 25 °C; the reason a few materials float at sea and sink in a lake |
| Concrete | 2,300 | 2.300 | NIST compounds table |
| Aluminum | 2,699 | 2.699 | NIST elements table |
| Granite | 2,700 | 2.700 | Published range 2,600–2,800; midpoint shown |
| Carbon steel | 7,850 | 7.850 | Engineering reference |
| Mercury | 13,550 | 13.550 | The densest liquid here — lead floats on it |
| Gold | 19,320 | 19.320 | NIST elements table |
| Osmium | 22,570 | 22.570 | NIST elements table — densest entry |
Where Density Calculations Go Wrong
- Pairing a mass unit with a volume unit that does not match it. Grams over cubic centimeters gives g/cm³; kilograms over cubic meters gives kg/m³; grams over cubic meters gives a number a million times too small. It is why the working table converts both inputs to SI before dividing — the mismatch surfaces there instead of hiding in the answer.
- Treating weight in pounds-force as mass. Density is mass per volume, never force per volume. Force per volume is specific weight, and water carries both figures at once: about 1,000 kg/m³ as a density, 62.4 lbf/ft³ as a specific weight. Feed a pounds-force figure into a mass field in US engineering units and the result comes out roughly 32 times too large.
- Measuring bulk density and calling it density. Sand, soil, sawdust, gravel and every powder measured by the space it fills include the air between the grains. Dry sand fills a container at 1,400 to 1,600 kg/m³ while the quartz grains themselves are 2,650 kg/m³ — a gap of more than 40%. Loose material in a container gives you bulk density, which is a real and useful quantity, but not the density of the material.
- Using a gas value without its temperature and pressure. Every gas figure in this calculator is quoted at 20 °C and 101.325 kPa. The same gas at 0 °C is about 7% denser, and published tables routinely print one or the other without saying which. For solids the temperature effect is far smaller — under a tenth of a percent across normal room temperatures — so this is a gas problem first and everything else second.
- Reading a range midpoint as a specification. Forty-two of the 121 materials here are published as spans: oak from 600 to 900 kg/m³, granite from 2,600 to 2,800. The picker fills the midpoint and a line under the answer names the span it came from. For a load calculation or a shipping weight, narrow it with your own sample rather than defending a midpoint to three decimal places.
- Swapping density for relative density. Relative density has no units, because it is a density divided by water's: steel is 7,850 kg/m³ and 7.850 relative. Type 7,850 into a field expecting the dimensionless figure, or 7.85 into one expecting kg/m³, and every downstream number moves by three orders of magnitude. This page prints both side by side so the pair is hard to confuse.
- Trying to measure a floater by displacement. Water displacement needs the object fully under. Most woods, foams and cork sit below 1,000 kg/m³ and bob, so the level you read reflects only the part that sank. Push the sample under with a thin rod, or attach a sinker of known volume and subtract it afterwards.
Density Terms Explained
Density (ρ)
Mass per unit volume, ρ = m ÷ V. SI unit kilogram per cubic meter (kg/m³); the common laboratory unit g/cm³ is 1,000 times larger. It is a property of the material and not of the piece: a nail and a girder cut from the same steel share one density.
Relative density (specific gravity)
A density divided by a reference density, which leaves it with no units. Water at its maximum, 999.975 kg/m³ near 4 °C, is the reference for solids and liquids; dry air at 1.205 kg/m³ is used for gases. Steel at 7,850 kg/m³ has a relative density of 7.850.
Bulk density
The mass of a loose material divided by the total space it fills, voids counted in. It applies to soils, aggregates, powders and grain, always falls below the density of the particles themselves, and rises when the material is compacted or vibrated.
Buoyancy
The upward force on a submerged object, equal to the weight of the fluid it pushes aside — Archimedes' principle. It decides the float card: below water's density the verdict is Floats, above it Sinks, and within half a percent of it Neutrally buoyant. For a floater the fraction below the surface is its density divided by water's — read against water even when the relative-density card is quoting a gas against air. Ice at 917 kg/m³ floats 91.7% submerged in fresh water.
Displacement method
Finding the volume of an irregular solid by submerging it and reading the rise in liquid level, since the liquid pushed aside occupies exactly the volume of the object. Unsuitable for anything that dissolves, absorbs water, or floats without being held under.
Specific weight
Weight per unit volume — a force divided by a volume, in N/m³ or lbf/ft³. Numerically it is density multiplied by gravitational acceleration. US engineering tables list water as both 1,000 kg/m³ and 62.4 lbf/ft³, which is where the confusion with density usually starts.
Significant figures
The digits in a result that the measurements behind it actually support. A mass and a volume each known to three figures cannot produce a density known to six. This calculator carries about six on Auto and can be pinned anywhere between three and eight.
Density Calculator — Frequently Asked Questions
How do I calculate density?
What is the formula for density?
How do I find volume from mass and density?
How do I find mass from density and volume?
Will my object float or sink in water?
What is the difference between density and specific gravity?
How do I convert specific gravity to density?
How do I find the density of a liquid?
How do I measure the density of an irregularly shaped object?
How do I calculate the density of a mixture?
What is the density of water?
Why does the calculator show a range for wood, rock and concrete?
What is the densest material in the table?
Can I use this to work out freight density in pounds per cubic foot?
Does temperature change the density I get here?
Where do the material densities come from, and how accurate are they?
Is this density calculator free?
Can this calculator convert a density between units?
Sources & References
- NIST, X-Ray Mass Attenuation Coefficients Table 1 — one published density per element, the figure the attenuation coefficients themselves were computed against. Source of every pure metal here: aluminum 2.699, iron 7.874, copper 8.960, gold 19.32, osmium 22.57 g/cm3
- NIST, X-Ray Mass Attenuation Coefficients Table 2 — compounds and mixtures. Source of the plastics (polyethylene 0.930, PVC 1.406, PTFE 2.250 g/cm3), the glasses, ordinary concrete at 2.300 g/cm3, dry air near sea level at 1.205 kg/m3, and the body tissues
- NIST Chemistry WebBook, Thermophysical Properties of Fluid Systems — densities computed from each fluid's published reference equation of state. Source of the gases at 20 C and 101.325 kPa, and of water via IAPWS-95
- NIST SP 811 Appendix B.8 — the conversion factors behind every unit on this page, including pound per cubic foot 1.601 846 E+01 and slug per cubic foot 5.153 788 E+02 kg/m3
- BIPM SI Brochure — kilogram per cubic metre as the coherent derived unit of density, and the litre as exactly one cubic decimetre
- Engineering ToolBox, Metals and Alloys Densities — the alloy figures, which are formulations rather than elements and are therefore published as ranges: stainless steel 7480-8000, cast iron 6800-7800, brass 8400-8700 kg/m3
- Engineering ToolBox, Wood Densities — species ranges. Wood density moves with moisture content and growth rate, so each entry is a span and the calculator fills its midpoint: balsa 110-140, oak 600-900, ebony 1110-1330 kg/m3
- Engineering ToolBox, Liquids Densities — the liquids not covered by a NIST reference equation of state, each at its stated temperature: ethanol 789 at 20 C, gasoline 737 at 15.6 C, olive oil 911 at 20 C kg/m3
- Engineering ToolBox, Densities of Solids — building materials, rocks and everyday solids, given as specific gravity: granite 2.6-2.8, dry sand 1.4-1.6, ice 0.917, fresh snow 0.1
- Wikipedia, Properties of water — the IAPWS/CIPM density table, which puts water's maximum at 0.999975 g/mL at 3.98 C. That is the reference relative density is quoted against here, and it is not the 0 C figure (0.999843) that tables often print in its place