Units of Volume - Maple Programming Help

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Units of Volume

 

Description

Examples

Description

• 

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.

Name

Symbols

Context

Alternate Spellings

Prefixes

 

 

 

 

 

liter

L, l

SI *

liters, litre, litres

SI-

stere

 

standard *

steres

SI

 

 

 

 

 

gallon

gal

US_liquid *

gallons

 

 

 

US_dry

 

 

 

 

UK

 

 

 

 

old_CA

 

 

drop

 

US_liquid *

drops

 

 

 

UK

 

 

minim

 

US_liquid *

minims

 

 

 

UK

 

 

drachm

 

US_liquid

drachms, dram, drams

 

 

 

UK

 

 

ounce

 

US_liquid *

ounces

 

 

 

UK

 

 

tablespoon

tbsp, Tsp, tblsp

US_liquid *

tablespoons

 

 

 

UK

 

 

 

 

AU

 

 

dessertspoon

dsp

US_liquid *

dessertspoons

 

 

 

UK

 

 

teaspoon

tsp

US_liquid *

teaspoons

 

 

 

UK

 

 

pinch

 

US_liquid *

pinches

 

dash

 

US_liquid *

dashes

 

gill

 

US_liquid *

gills

 

 

 

UK

 

 

cup

 

US_liquid *

cups

 

 

 

UK

 

 

pint

 

US_liquid *

pints

 

 

 

US_dry

 

 

 

 

UK

 

 

fifth

 

US_liquid *

quarts

 

quart

 

US_liquid *

quarts

 

 

 

US_dry

 

 

 

 

UK

 

 

pottle

 

US_liquid *

pottles

 

 

 

US_dry

 

 

 

 

UK

 

 

peck

 

US_dry *

pecks

 

 

 

UK

 

 

bucket

 

US_liquid *

buckets

 

 

 

UK

 

 

bushel

 

US_dry *

bushels

 

 

 

US_dry_heaped

 

 

 

 

UK

 

 

strike

 

US_dry *

strikes

 

 

 

UK

 

 

bag

 

US_dry *

bags

 

 

 

UK

 

 

sack

 

US_dry *

sacks

 

 

 

UK

 

 

coombe

 

US_dry *

coombes

 

 

 

UK

 

 

seam

 

US_dry *

seams

 

 

 

UK

 

 

butt

 

US_dry *

butts

 

 

 

UK

 

 

last

 

US_dry *

lasts

 

 

 

UK

 

 

 

 

 

 

 

ton

 

freight

tons

 

 

 

register

 

 

 

 

 

 

 

barrel

 

US_petroleum

barrels

 

 

 

US_liquid

 

 

 

 

US_dry

 

 

 

 

UK_petroleum

 

 

 

 

UK

 

 

 

 

bulk

 

 

 

 

 

 

 

barge

 

US_petroleum

barges

 

barrique

 

wine

barriques

 

bath

 

Sacred

baths

 

 

 

Talmudic

 

 

belshazzar

 

metric

belshazzars

 

bottle

 

metric

bottles

 

cab

 

Sacred

cabs

 

 

 

Talmudic

 

 

cor

 

Sacred

cors, homer, homers

 

 

 

Talmudic

 

 

cord

 

UK

cords

 

ephah

 

Sacred

ephahs

 

 

 

Talmudic

 

 

firkin

 

beer

firkins

 

hin

 

Sacred

hins

 

 

 

Talmudic

 

 

hogshead

 

UK

hogsheads

 

 

 

beer

 

 

jeroboam

 

metric

jeroboams

 

lamdba

 

Volume

lambdas

 

lethech

 

Sacred

lethechs

 

 

 

Talmudic

 

 

log

 

Sacred

logs

 

 

 

Talmudic

 

 

magnum

 

metric

magna

 

methusalah

 

metric

muthusalahs

 

nebuchadnezzar

 

metric

nebuchadnezzars

 

pied_measure_planche

 

standard

 

 

pin

 

beer

pins

 

puncheon

 

beer

puncheons

 

rehoboam

 

metric

rehoboams

 

salmarazd

 

metric

salmarazds

 

seah

 

Sacred

seahs

 

 

 

Talmudic

 

 

tun

 

beer

tuns

 

planck_volume

 

planck *

planck_volumes

 

  

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 1812 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 1534 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 1.05106 US liquid gallons.

• 

A UK barrel of petroleum is approximately 8 parts per thousand less than a US barrel of petroleum.

Examples

convertm3,dimensions,base=true

length3

(1)

convert1.0,units,ounceUS_liquid,ounceUS_liquid

1.0

(2)

convert12.0,units,L,gallonUK

2.639630980

(3)

convert12.0,units,L,gallonUS_liquid

3.170064628

(4)

convert2,units,mL,drachmUS_liquid

256000000473176473

(5)

convert1,units,litres,pint

1000000000473176473

(6)

See Also

convert/dimensions

convert/units

Units

Units/Index

Units/length