| Cubic decimeters (dm³) | Deciliters (dL) |
|---|---|
| 1 Cubic decimeter | 10 dL |
| 2 Cubic decimeters | 20 dL |
| 3 Cubic decimeters | 30 dL |
| 4 Cubic decimeters | 40 dL |
| 5 Cubic decimeters | 50 dL |
| 10 Cubic decimeters | 100 dL |
| 20 Cubic decimeters | 200 dL |
| 25 Cubic decimeters | 250 dL |
| 50 Cubic decimeters | 500 dL |
| 100 Cubic decimeters | 1000 dL |
| Reference | Cubic decimeters (dm³) | Deciliters (dL) |
|---|---|---|
| A teaspoon | 0.005 dm³ | 0.05 dL |
| A can of soft drink | 0.33 dm³ | 3.3 dL |
| A wine bottle | 0.75 dm³ | 7.5 dL |
| A bathtub | 150 dm³ | 1500 dL |
| An Olympic swimming pool | 2500000 dm³ | 25000000 dL |
The cubic decimetre is a unit of volume equal to one thousandth of a cubic metre, written dm³. It is the volume of a cube ten centimetres on each side, and since 1964 it has been the exact definition of the litre. The two are the same quantity, and the choice between them is the clearest example in the whole metric system of a name being chosen for what it does to a calculation.
Chemistry prefers the cubic decimetre for a specific reason. Concentration is written in moles per cubic decimetre, and every other quantity in the same calculation is expressed in metres, kilograms and seconds or their prefixed forms. Keeping volume as a length cubed means the units in an equation cancel by inspection, without anyone having to remember that a litre is a thousandth of a cubic metre.
That is why British and Commonwealth chemistry teaching writes mol dm⁻³ where American teaching writes molar. A one molar solution and a one mole per cubic decimetre solution are identical, but only the second form makes the dimensions visible. Students trained on it can check an answer by looking at the units, which is the most reliable error-catching habit in quantitative chemistry.
Gas volumes follow the same convention. One mole of an ideal gas occupies 22.4 cubic decimetres at zero degrees Celsius and one atmosphere, and about 24.0 cubic decimetres at room temperature, so a reaction stoichiometry converts to a measurable volume in one step. These are among the most quoted numbers in school chemistry, and they are almost always written in dm³ rather than in litres.
Elsewhere the litre wins easily. Nobody buys fuel, milk or paint in cubic decimetres, and no drink label carries the symbol, because the litre name is shorter, older and understood by everyone. The cubic decimetre survives where a formula rather than a customer is reading the number.
The relationship to its neighbours is worth keeping straight because of the cubing. A cubic decimetre holds a thousand cubic centimetres, not a hundred, and a thousand cubic decimetres make a cubic metre. Each step in length is a factor of ten and each step in volume a factor of a thousand, which is the source of most errors made with this unit.
One cubic decimetre equals 1 litre, 1000 cubic centimetres, 0.001 cubic metres, or about 61.02 cubic inches.
The decilitre is a unit of volume equal to one tenth of a litre, or one hundred millilitres. Its symbol is dL, and the lower-case dl is common. Although the deci prefix has fallen out of use almost everywhere else, the decilitre is alive in two quite separate places: the Nordic kitchen and the clinical laboratory.
Scandinavian cooking is built on it. Swedish, Norwegian, Danish and Finnish recipes give flour, sugar, milk, cream and stock in decilitres, and a set of nested measuring cups marked in decilitres and fractions of one is standard kitchen equipment. Where an English recipe says a cup and an Italian one weighs the flour, a Nordic recipe asks for three decilitres, which is both faster and more repeatable than either.
Switzerland uses it for drink. Wine in a Swiss restaurant is ordered by the decilitre, so a glass is one or two and a carafe five, and the measure is printed on the glass. Because a decilitre is close to the volume of a modest wine pour, the unit gives customers an exact quantity rather than a description, which is what licensing law in several cantons requires.
Clinical chemistry is its other stronghold, and there it decides how a whole country reads its blood tests. Glucose, cholesterol and creatinine are reported in milligrams per decilitre in the United States, Japan, France, Italy and Spain, and in millimoles per litre in Britain, Canada, Australia and the Nordic countries. A fasting glucose of 100 milligrams per decilitre is 5.6 millimoles per litre, and the same person's result therefore looks entirely different depending on the laboratory.
Haemoglobin crosses the divide. It is reported in grams per decilitre almost everywhere, so a normal adult value of 13 to 17 grams per decilitre reads the same in most of the world. The decilitre survives in these places because a hundred millilitres of blood is a convenient reference quantity and because changing an established reporting unit risks misreading a result.
For scale, a decilitre is a small glass of water, half a mug of coffee, or the volume of a large egg and a half. It converts to 3.38 United States fluid ounces or 3.52 imperial fluid ounces, and to a little under half a United States cup, which is why converted Nordic recipes rarely come out in round numbers.
One decilitre equals 100 millilitres, 0.1 litres, about 3.38 US fluid ounces, or about 3.52 imperial fluid ounces.