Units of Volume
Volume has the dimension length cubed. The SI composite unit of volume is the meter cubed.
Maple knows the units of volume listed in the following table.
liters, litre, litres
drachms, dram, drams
tbsp, Tsp, tblsp
cors, homer, homers
An asterisk ( * ) indicates the default context, an at sign (@) indicates an abbreviation, and under the prefixes column, SI indicates that the unit takes all SI prefixes, IEC indicates that the unit takes IEC prefixes, and SI+ and SI- indicate that the unit takes only positive and negative SI prefixes, respectively. Refer to a unit in the Units package by indexing the name or symbol with the context, for example, liter[SI] or tbsp[US_liquid]; or, if the context is indicated as the default, by using only the unit name or symbol, for example, liter or tbsp.
The units of volume are defined as follows.
An liter is defined as a cubic decimeter.
An stere is defined as a cubic meter.
A planck volume is defined as a cubic planck length.
US Dry, US Liquid, and UK Volumes
The UK gallon was originally set to be the volume occupied by 10 avoirdupois pounds of water at 60 degrees Fahrenheit. It has been redefined as 4.54609 liters.
For some time in the earlier half of the 20th century, the old Canadian gallon was defined 4.54607 liters, differing in approximately 1 part per quarter million.
A US liquid gallon is defined as 231 cubic inches.
A US dry gallon is defined as the volume of a cylinder 1 inch high and 18⁢12 inches in diameter, or 268.8025215 cubic inches.
A drop or minim is defined as 160 drachm.
A drachm or dram is defined as 18 ounce.
A UK ounce is defined as 1160 UK gallon.
A US ounce is defined as 1128 US gallon.
A US tablespoon is defined as 12 US ounce.
A UK tablespoon is defined as 15 milliliters.
An Australian tablespoon is defined as 20 milliliters.
A dessertspoon is defined as 2 teaspoons.
A teaspoon is defined as 13 tablespoon.
A pinch is defined as 18 teaspoon.
A dash is defined as 12 pinch.
A gill is defined as 132 gallon.
A cup is defined as 116 gallon.
A pint is defined as 18 gallon.
A fifth is defined as 15 gallon.
A quart is defined as 14 gallon.
A pottle is defined as 12 gallon.
A peck is defined as 2 gallons.
A bucket is defined as 4 gallons.
A bushel is defined as 8 gallons.
A heaped bushel is defined as 1.278 bushels.
A strike is defined as 2 bushels.
A bag or sack is defined as 3 bushels.
A coombe is defined as 4 bushels.
A seam is defined as 8 bushels.
A butt is defined as 15⁢34 bushels.
A last is defined as 80 bushels.
Tons, Barrels, and Barges
A freight ton is defined as 40 standard cubic feet.
A register ton is defined as 100 standard cubic feet.
A UK barrel is defined as 36 UK gallons.
A bulk barrel is defined as 5 cubic feet.
A US dry barrel is defined as 105 US dry quarts.
A US liquid barrel is defined as 126 US liquid quarts.
A US barrel of petroleum is defined as 42 US liquid gallons.
A UK barrel of petroleum is defined as 35 UK liquid gallons.
A US barge of petroleum is defined as 1.05×106 US liquid gallons.
A UK barrel of petroleum is approximately 8 parts per thousand less than a US barrel of petroleum.
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