Definition:US Volume System

From ProofWiki
Jump to navigation Jump to search

Definition

The US volume system is a system of measurement based on the imperial system and adapted by the emergent United States.


Pint

\(\ds \) \(\) \(\ds 1\) pint (US)
\(\ds \) \(=\) \(\ds \dfrac 1 2\) quart (US)
\(\ds \) \(=\) \(\ds \dfrac 1 8\) gallon (US)
\(\ds \) \(=\) \(\ds 0.473 \, 176\) litres
\(\ds \) \(=\) \(\ds 473.176\) millilitres
\(\ds \) \(=\) \(\ds 0.832 \, 674\) imperial pint


Quart

\(\ds \) \(\) \(\ds 1\) quart (US)
\(\ds \) \(=\) \(\ds 2\) pints (US)
\(\ds \) \(=\) \(\ds \dfrac 1 4\) gallon (US)
\(\ds \) \(=\) \(\ds 0.946 \, 352\) litres
\(\ds \) \(=\) \(\ds 946.352\) millilitres
\(\ds \) \(=\) \(\ds 0.832 \, 674\) imperial quart


Gallon

The (US) gallon is a unit of volume used in the United States.

It is defined as $231$ cubic inches, which is exactly $3.78541 \, 1784$ litres.

\(\ds \) \(\) \(\ds 1\) gallon (US)
\(\ds \) \(=\) \(\ds 4\) quarts (US)
\(\ds \) \(=\) \(\ds 231\) cubic inches
\(\ds \) \(=\) \(\ds 3.78541 \, 1784 \times 10^{-3}\) cubic metres
\(\ds \) \(=\) \(\ds 3.78541 \, 1784\) litres
\(\ds \) \(=\) \(\ds 3785.41178 \, 4\) millilitres
\(\ds \) \(=\) \(\ds 0.832 \, 674\) imperial gallon

Hence $6$ US gallons is approximately $5$ imperial gallons.


Also see