Definition:Imperial/Volume
Jump to navigation
Jump to search
Definition
The imperial units of volume are based on a binary system, in which each unit is a factor of $2$ larger than the next smaller unit.
Fluid Ounce
The fluid ounce is an imperial unit of volume.
It is also part of the apothecaries' system of volume.
\(\ds \) | \(\) | \(\ds 1\) | fluid ounce | |||||||||||
\(\ds \) | \(=\) | \(\ds 8\) | fluid drachms | |||||||||||
\(\ds \) | \(=\) | \(\ds \dfrac 1 {20}\) | (imperial) pint | |||||||||||
\(\ds \) | \(=\) | \(\ds 28 \cdotp 41306 \, 25\) | millilitres |
Gill
\(\ds \) | \(\) | \(\ds 1\) | gill | |||||||||||
\(\ds \) | \(=\) | \(\ds 5\) | fluid ounces | |||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 14206 \, 53125\) | litres | |||||||||||
\(\ds \) | \(=\) | \(\ds 142 \cdotp 06531 \, 25\) | millilitres |
Chopin
\(\ds \) | \(\) | \(\ds 1\) | chopin | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | gills | |||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 28413 \, 0625\) | litres | |||||||||||
\(\ds \) | \(=\) | \(\ds 284 \cdotp 13062 \, 5\) | millilitres |
Pint
The pint is an imperial unit of volume.
It is also part of the apothecaries' system of volume.
\(\ds \) | \(\) | \(\ds 1\) | pint (imperial) | |||||||||||
\(\ds \) | \(=\) | \(\ds 20\) | fluid ounces | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | chopins | |||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 5682 \, 6125\) | litres | |||||||||||
\(\ds \) | \(=\) | \(\ds 568 \cdotp 26125\) | millilitres |
Quart
\(\ds \) | \(\) | \(\ds 1\) | quart (imperial) | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | pints (imperial) | |||||||||||
\(\ds \) | \(=\) | \(\ds 1 \cdotp 13652 25\) | litres | |||||||||||
\(\ds \) | \(=\) | \(\ds 1 \, 136 \cdotp 5225\) | millilitres |
Pottle
\(\ds \) | \(\) | \(\ds 1\) | pottle | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | quarts | |||||||||||
\(\ds \) | \(=\) | \(\ds 2 \cdotp 273045\) | litres | |||||||||||
\(\ds \) | \(=\) | \(\ds 2 \, 273 \cdotp 045\) | millilitres |
Gallon
The (imperial) gallon is an imperial unit of volume.
It is defined as the volume of $10$ pounds of water under a specific set of conditions.
\(\ds \) | \(\) | \(\ds 1\) | imperial gallon | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | pottles | |||||||||||
\(\ds \) | \(=\) | \(\ds 4\) | quarts | |||||||||||
\(\ds \) | \(=\) | \(\ds 277 \cdotp 4198\) | cubic inches | |||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 1605\) | cubic feet | |||||||||||
\(\ds \) | \(=\) | \(\ds 4 \, 546 \cdotp 09\) | millilitres | |||||||||||
\(\ds \) | \(=\) | \(\ds 4 \cdotp 54609\) | litres | |||||||||||
\(\ds \) | \(=\) | \(\ds 4 \cdotp 54609 \times 10^{-3}\) | cubic metres |
Peck
\(\ds \) | \(\) | \(\ds 1\) | peck | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | (imperial) gallons | |||||||||||
\(\ds \) | \(=\) | \(\ds 9 \cdotp 09218\) | litres |
Demi-Bushel
\(\ds \) | \(\) | \(\ds 1\) | demi-bushel | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | pecks | |||||||||||
\(\ds \) | \(=\) | \(\ds 18 \cdotp 18436\) | litres |
Bushel
\(\ds \) | \(\) | \(\ds 1\) | bushel | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | demi-bushels | |||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 03636 \, 872\) | cubic metres | |||||||||||
\(\ds \) | \(=\) | \(\ds 36 \cdotp 36872\) | litres |
Kilderkin
\(\ds \) | \(\) | \(\ds 1\) | kilderkin | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | bushels | |||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 07273 \, 744\) | cubic metres | |||||||||||
\(\ds \) | \(=\) | \(\ds 72 \cdotp 73744\) | litres |
Barrel
\(\ds \) | \(\) | \(\ds 1\) | barrel | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | kilderkins | |||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 14547 \, 488\) | cubic metres | |||||||||||
\(\ds \) | \(=\) | \(\ds 145 \cdotp 47488\) | litres |
Hogshead
\(\ds \) | \(\) | \(\ds 1\) | hogshead | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | barrels | |||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 29094 \, 976\) | cubic metres | |||||||||||
\(\ds \) | \(=\) | \(\ds 290 \cdotp 94976\) | litres |
Pipe
\(\ds \) | \(\) | \(\ds 1\) | pipe | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | hogsheads | |||||||||||
\(\ds \) | \(=\) | \(\ds 0 \cdotp 58189 \, 952\) | cubic metres | |||||||||||
\(\ds \) | \(=\) | \(\ds 581 \cdotp 89952\) | litres |
Tun
\(\ds \) | \(\) | \(\ds 1\) | tun | |||||||||||
\(\ds \) | \(=\) | \(\ds 2\) | pipes | |||||||||||
\(\ds \) | \(=\) | \(\ds 1 \cdotp 16379 \, 904\) | cubic metres | |||||||||||
\(\ds \) | \(=\) | \(\ds 1 \, 163 \cdotp 79904\) | litres |
Example
As the imperial volume measure are related by powers of two, it is possible to use them to express a volume as a binary number of gills.
Thus a volume equal to $3815$ gills is:
- $1$ gill
- $1$ chopin
- $1$ pint
- $0$ quarts
- $0$ pottles
- $1$ gallon
- $0$ pecks
- $1$ demi-bushel
- $1$ bushel
- $1$ kilderkin
- $0$ barrels
- $0$ hogsheads
- $1$ pipe
Thus $3815$ gills can be expressed as:
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $2$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2$