Definition:Metric System/Volume/Litre
Definition
The litre is a unit of volume based on, but not actually part of, the SI system.
Conversion Factors
\(\ds \) | \(\) | \(\ds 1\) | litre | |||||||||||
\(\ds \) | \(=\) | \(\ds 1000\) | millilitres | |||||||||||
\(\ds \) | \(=\) | \(\ds 1000\) | cubic centimetres | |||||||||||
\(\ds \) | \(=\) | \(\ds 10^{-3}\) | cubic metres | |||||||||||
\(\ds \) | \(\approx\) | \(\ds 1 \cdotp 76\) | pints |
Symbol
- $\mathrm l$ or $\mathrm L$
The symbol for the litre is $\mathrm l$ or $\mathrm L$.
The $\LaTeX$ code for \(\mathrm l\) is \mathrm l
.
The $\LaTeX$ code for \(\mathrm L\) is \mathrm L
.
Historical Note
The litre was originally defined as the volume of:
- $1 \, \mathrm {kg}$ (kilogram) of water
- at $4 \cels$ (degrees Celsius)
- at standard atmospheric pressure: $760 \, \mathrm {mm}$ (millimetres) of mercury.
Hence, by this definition, the litre was equivalent to $1000 \cdotp 028 \, \mathrm {cm}^3$.
Linguistic Note
The spelling litre is the one adopted by the International Bureau of Weights and Measures.
Liter is the variant used in standard American English.
While $\mathsf{Pr} \infty \mathsf{fWiki}$ attempts in general to standardise on American English, the name of this unit is one place where a deliberate decision has been made to use the international spelling, in order to provide consistency with the British spelling of metre.
Sources
- 1938: A. Geary, H.V. Lowry and H.A. Hayden: Mathematics for Technical Students, Part One ... (previous) ... (next): Arithmetic: Chapter $\text I$: Decimals: The Metric System
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $2$. Physical Constants and Conversion Factors: Table $2.4$ Miscellaneous Conversion Factors
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): litre
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): litre
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): litre