🧪 Volume Conversion Calculator
Convert between liters, milliliters, US & UK gallons, cups, fl oz, tablespoons, cubic meters, cubic feet, barrels, acre-feet and 70+ volume units — with SI cubic volume formulas, US vs UK gallon history, cooking measures & industrial volume formulas in MathJax
🔄 Volume Unit Converter
🌍 All Units at Once
📖 How to Use This Volume Conversion Calculator
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1Filter by Unit Category (Optional)
Choose Metric/SI (L, mL, cL, dL, hL, kL, µL), US Customary (gal, qt, pt, cup, fl oz, bushel, peck, dry gallon), UK Imperial (gal UK, qt UK, pt UK, fl oz UK, gill), Cooking (cups, tbsp, tsp — US/metric/UK variants, drop, pinch), Cubic (m³, cm³, mm³, ft³, in³, yd³, km³), or Industrial (acre-foot, barrel, cord, board foot).
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2Enter Your Volume Value
Type the numeric value in "Enter Value." Works across the full range — from a microlitre (0.001 mL) in a laboratory syringe to cubic kilometres (10¹² L) for ocean volumes.
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3Select From and To Units
Choose source and target units. The result and exact multiplication factor appear instantly in the blue result box.
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4Use Quick-Convert Buttons
Click preset conversions — gal (US)↔L, L↔mL, m³→L, cup→mL, ft³→L, gal UK→L — to instantly set both dropdowns for the most frequently needed conversions.
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5View All Units at Once & Copy
The "All Units at Once" panel displays your volume in every supported unit simultaneously. Click "📋 Copy Result" for use in recipes, engineering specs, tank calculations, or regulatory filings.
📐 Volume Unit Conversion Reference Table
| From | To | Multiply By | Mathematical Expression |
|---|---|---|---|
| 1 US gallon | liters | 3.785412 | \( 1\,\text{gal (US)} = 231\,\text{in}^3 = 3.785411784\,\text{L} \) (exact) |
| 1 UK gallon | liters | 4.54609 | \( 1\,\text{gal (UK)} = 4.54609\,\text{L} \) (exact, 1985) |
| 1 liter | US gallons | 0.264172 | \( 1\,\text{L} = 1/3.785412\,\text{gal (US)} \) |
| 1 cubic meter | liters | 1,000 | \( 1\,\text{m}^3 = 10^3\,\text{L} = 10^6\,\text{mL} \) |
| 1 cubic foot | liters | 28.31685 | \( 1\,\text{ft}^3 = (0.3048)^3\,\text{m}^3 = 28.3168\,\text{L} \) |
| 1 cubic inch | mL | 16.38706 | \( 1\,\text{in}^3 = (0.0254)^3\,\text{m}^3 = 16.3871\,\text{mL} \) |
| 1 US cup | mL | 236.5882 | \( 1\,\text{cup (US)} = \tfrac{1}{16}\,\text{gal} = 236.588\,\text{mL} \) |
| 1 US fl oz | mL | 29.57353 | \( 1\,\text{fl oz (US)} = \tfrac{1}{128}\,\text{gal} = 29.5735\,\text{mL} \) |
| 1 petroleum barrel | liters | 158.9873 | \( 1\,\text{bbl} = 42\,\text{gal (US)} = 158.987\,\text{L} \) |
| 1 acre-foot | cubic meters | 1,233.48 | \( 1\,\text{ac·ft} = 43{,}560\,\text{ft}^2 \times 1\,\text{ft} = 1{,}233.48\,\text{m}^3 \) |
🌊 Understanding Volume — A Complete Science & Engineering Guide
Volume is the three-dimensional extent of space enclosed by a surface — the amount of three-dimensional space a substance occupies. It is one of the most universally needed measurements in everyday life, engineering, science, and commerce: from measuring cooking ingredients in tablespoons and cups, to specifying tank capacities in gallons, to calculating concrete for a foundation in cubic metres, to measuring global ocean flows in cubic kilometres per year.
Volume unit conversion is notoriously confusing because multiple competing systems exist simultaneously. The metric (SI) system uses litres and cubic metres; the US Customary system uses fluid ounces, cups, pints, quarts, and gallons; the UK Imperial system uses its own fluid ounces, pints, and gallons — all different sizes to their US counterparts. And then there are specialist systems: cooking measures, petroleum industry barrels, lumber board-feet, water management acre-feet, and astronomical units. This calculator handles all of them with precision.
\( 1\,\text{m}^3 = 10^3\,\text{dm}^3 = 10^6\,\text{cm}^3 = 10^9\,\text{mm}^3 \quad \text{(exact, SI)} \)
\( 1\,\text{L} = 1\,\text{dm}^3 = 10^{-3}\,\text{m}^3 = 10^3\,\text{mL} = 10^3\,\text{cm}^3 \quad \text{(litre definition)} \)
\( V_{\text{cube}} = a^3 \qquad V_{\text{sphere}} = \tfrac{4}{3}\pi r^3 \qquad V_{\text{cylinder}} = \pi r^2 h \qquad V_{\text{cone}} = \tfrac{1}{3}\pi r^2 h \)
\( V_{\text{cuboid}} = l \times w \times h \qquad V_{\text{prism}} = A_{\text{base}} \times h \qquad V_{\text{pyramid}} = \tfrac{1}{3} A_{\text{base}} \times h \)
🇺🇸🇬🇧 US Gallon vs UK Imperial Gallon — History & Exact Definitions
The single most confusing aspect of volume conversion for most users is the US vs UK gallon difference. They share the same name but differ by approximately 20% in volume. Understanding why requires a brief excursion into measurement history — and knowing the exact legal definitions that govern modern engineering specifications.
\( 1\,\text{gal (US)} = 231\,\text{in}^3 \quad \text{(exact, US law)} = (231 \times 16.387064\,\text{mL}) = 3{,}785.411784\,\text{mL (exact)} \)
\( 1\,\text{gal (UK)} = 4{,}546.09\,\text{mL (exact, UK Weights and Measures Act 1985)} \)
\( \frac{\text{gal (UK)}}{\text{gal (US)}} = \frac{4546.09}{3785.41} = 1.20095... \approx 20\%\text{ larger} \)
\( \text{US: } 1\,\text{gal} = 4\,\text{qt} = 8\,\text{pt} = 16\,\text{cups} = 128\,\text{fl oz} \quad \text{(US fl oz = }29.5735\text{ mL)} \)
\( \text{UK: } 1\,\text{gal} = 4\,\text{qt} = 8\,\text{pt} = 160\,\text{fl oz} \quad \text{(UK fl oz = }28.4131\text{ mL)} \)
Problem: A car achieves 40 miles per UK gallon. What is this in US mpg and in L/100km (European standard)?
UK mpg → US mpg: \( 40\,\text{mpg (UK)} \times \frac{3.785412}{4.546090} = 40 \times 0.83267 = \mathbf{33.31\,\text{mpg (US)}} \)
L/100km: \( \frac{235.215}{33.31\,\text{mpg (US)}} = \mathbf{7.06\,\text{L/100km}} \)
Note: In the UK, fuel economy used to be stated in mpg (imperial), but EU regulations required L/100km labelling since 2011. This US/UK mpg confusion regularly affects car comparisons — a UK car rated at 40 mpg is NOT the same as a US car rated at 40 mpg; the UK figure sounds better but only because the imperial gallon is larger.
🍳 Cooking Volume Units — US, Metric & International Kitchen Measures
Precise volume measurement is essential in cooking and baking — especially when scaling recipes up or down, adapting recipes from one country's standards to another, or converting between wet and dry measurements. The cup, tablespoon, and teaspoon are the backbone of recipe volume in English-speaking countries, but their exact sizes differ between the US, UK, Australia, Canada, and metric systems.
\( \text{US: } 1\,\text{cup} = 16\,\text{tbsp} = 48\,\text{tsp} = 8\,\text{fl oz} = 236.588\,\text{mL} \)
\( \text{Metric: } 1\,\text{cup} = 250\,\text{mL} = 16.\overline{6}\,\text{tbsp (metric)} \quad \text{(tbsp metric = 15 mL)} \)
\( \text{Australian: } 1\,\text{cup} = 250\,\text{mL} \quad 1\,\text{tbsp (AU)} = 20\,\text{mL} \quad 1\,\text{tsp} = 5\,\text{mL} \)
\( \text{UK: } 1\,\text{tbsp (UK)} = 17.758\,\text{mL} \qquad 1\,\text{tsp (UK)} = 5.919\,\text{mL} \)
\( \text{US tsp} = 4.929\,\text{mL} \qquad \text{US tbsp} = 14.787\,\text{mL} \qquad \text{drop (medical)} = 0.05\,\text{mL} \)
Problem: A US recipe requires 2½ cups flour, ¾ cup milk, and 3 tablespoons butter. Convert to millilitres for a metric kitchen.
Flour: \( 2.5 \times 236.588 = \mathbf{591.5\,\text{mL}} \approx 592\,\text{mL} \)
Milk: \( 0.75 \times 236.588 = \mathbf{177.4\,\text{mL}} \approx 177\,\text{mL} \)
Butter: \( 3 \times 14.787 = \mathbf{44.4\,\text{mL}} \approx 44\,\text{mL} \) (or 42.5 g if density ≈ 0.958 g/mL)
Practical note: Nearest metric measuring cup marks: 600 mL flour, 175 mL milk, 45 mL butter — near-enough accurate for baking.
📐 Cubic Volume Units — Engineering & Construction
\( 1\,\text{ft}^3 = (12\,\text{in})^3 = 1728\,\text{in}^3 = (0.3048\,\text{m})^3 = 0.0283168\,\text{m}^3 = 28.3168\,\text{L} \)
\( 1\,\text{yd}^3 = (3\,\text{ft})^3 = 27\,\text{ft}^3 = 0.764555\,\text{m}^3 = 764.555\,\text{L} \)
\( 1\,\text{in}^3 = (0.0254)^3\,\text{m}^3 = 1.6387064 \times 10^{-5}\,\text{m}^3 = 16.3871\,\text{mL (exact)} \)
\( 1\,\text{m}^3 = 35.3147\,\text{ft}^3 = 1.30795\,\text{yd}^3 = 264.172\,\text{gal (US)} \)
\( 1\,\text{km}^3 = 10^9\,\text{m}^3 = 10^{12}\,\text{L} \approx 0.2399\,\text{mi}^3 \)
🏭 Industrial Volume Units — Oil, Water & Lumber
Petroleum Barrel (bbl)
1 bbl = 42 US gallons = 158.987 L (exact). The standard unit for crude oil trading worldwide. Defined 1872 by Pennsylvania oil producers. 1 metric tonne of crude ≈ 7.3–7.5 bbl (depends on API gravity). Global daily oil production: ~100 million bbl/day ≈ 15.9 billion L/day.
Acre-Foot (ac·ft)
1 ac·ft = 1,233.48 m³ = 325,851 US gallons. Volume of water covering 1 acre (4,047 m²) to a depth of 1 foot. Used for US reservoir storage, irrigation rights, and groundwater management. Lake Mead capacity: ~36.7 km³ ≈ 29.75 million ac·ft.
Cord & Board-Foot
1 cord = 128 ft³ = 3.625 m³. Standard firewood measure: stack 4 ft × 4 ft × 8 ft. 1 board-foot = 144 in³ = 2.3597 L. Lumber unit = 1 ft × 1 ft × 1 in thick. A typical house frame uses ~10,000 board-feet of lumber.
Hogshead & Drum
US hogshead: 63 gal = 238.48 L. Used for bourbon whiskey production (Kentucky law: barrel ≤ 53 gal). US petroleum drum: 55 gal = 208.2 L. Standard industrial drums used in chemical and oil industries globally.
🌊 Volume Reference Table — Water, Oceans & Atmosphere
| Object / System | Volume (m³) | Volume (L) | Notes |
|---|---|---|---|
| 🥄 Teaspoon (metric) | 5×10⁻⁶ | 0.005 | 5 mL exactly |
| 🥛 Cup (metric) | 2.5×10⁻⁴ | 0.25 | 250 mL exactly |
| 🍾 Wine bottle (standard) | 7.5×10⁻⁴ | 0.75 | 750 mL — Bordeaux standard since 1970s |
| ⛽ US gallon (fuel) | 3.785×10⁻³ | 3.785 | 231 in³ = 3.785412 L (exact) |
| 🛁 Standard bathtub | ~0.25 | ~250 | Typical fill ~120–150 L |
| 🛢️ Petroleum drum (55 gal) | 0.2082 | 208.2 | Also 200 L metric drum |
| 🛢️ Oil barrel (bbl) | 0.15899 | 158.99 | 42 US gal — global crude oil standard |
| 🏊 Olympic swimming pool | 2,500 | 2.5×10⁶ | 50 m × 25 m × 2 m |
| 🏞️ Lake Geneva | 8.9×10¹⁰ | 8.9×10¹³ | 720 km² × 154.4 m avg depth |
| 🌊 World Ocean total | 1.335×10¹⁸ | 1.335×10²¹ | ~97.5% of Earth's liquid water |