Conversion of units#Volume

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Conversion of units

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Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.

Contents

[ Techniques

[ Process

The process of conversion depends on the specific situation and the intended purpose. This may be governed by regulation, contract, Technical specifications or other published standards. Engineering judgment may include such factors as:

Some conversions from one system of units to another need to be exact, without increasing or decreasing the precision of the first measurement. This is sometimes called soft conversion. It does not involve changing the physical configuration of the item being measured.

By contrast, a hard conversion or an adaptive conversion may not be exactly equivalent. It changes the measurement to convenient and workable numbers and units in the new system. It sometimes involves a slightly different configuration, or size substitution, of the item. Nominal values are sometimes allowed and used.

[ Multiplication factors

Conversion between units in the metric system can be discerned by their prefixes (for example, 1 kilogram = 1000 grams, 1 milligram = 0.001 grams) and are thus not listed in this article. Exceptions are made if the unit is commonly known by another name (for example, 1 micron = 10−6 metre).

[ Table ordering

Within each table, the units are listed alphabetically, and the SI units (base or derived) are highlighted.

[ Tables of conversion factors

This article gives lists of conversion factors for each of a number of physical quantities, which are listed in the index. For each physical quantity, a number of different units (some only of historical interest) are shown and expressed in terms of the corresponding SI unit.

Legend
Symbol Definition
exactly equal to
approximately equal to
digits indicates that digits repeat infinitely (e.g. 8.294369 corresponds to 8.294369369369369)
(H) of chiefly historical interest

[ Length

Length
Name of unit Symbol Definition Relation to SI units
angstrom Å 1×10−10 m ≡ 0.1 nm
astronomical unit AU ≈ Distance from Earth to Sun 149597871464 m [1]
barleycorn (H)   = ⅓ in (see note above about rounding) ≈ 8.46×10−3 m
bohr, atomic unit of length a0 Bohr radius of hydrogen 5.2917720859×10−11 ± 3.6×10−20 m [2]
cable length (imperial)   ≡ 608 ft ≈ 185.3184 m
cable length (International)   ≡ 1/10 nmi ≡ 185.2 m
cable length (US)   ≡ 720 ft = 219.456 m
chain (Gunter's; Surveyor's) ch ≡ 66 ft(US) ≡ 4 rods [3] 20.11684 m
cubit (H)   ≡ Distance from fingers to elbow ≈ 18 in ≈ 0.5 m
ell (H) ell ≡ 45 in [4] (In England usually) = 1.143 m
fathom fm ≡ 6 ft [4] = 1.8288 m
fermi fm 1×10−15 m[4] 1×10−15 m
finger   ≡ 7/8 in = 0.022225 m
finger (cloth)   ≡ 4½ in = 0.1143 m
foot (Benoît) (H) ft (Ben) 0.304799735 m
foot (Clarke's; Cape) (H) ft (Cla) 0.3047972654 m
foot (Indian) (H) ft Ind 0.304799514 m
foot (International) ft ≡ 1/3 yd ≡ 0.3048 m ≡ 12 inches ≡ 0.3048 m
foot (Sear's) (H) ft (Sear) 0.30479947 m
foot (US Survey) ft (US) 12003937 m [5] 0.304800610 m
french; charriere F 13 mm = 0.3 ×10−3 m
furlong fur ≡ 10 chains = 660 ft = 220 yd [4] = 201.168 m
hand   ≡ 4 in [4] ≡ 0.1016 m
inch (International) in ≡ 1/36 yd ≡ 1/12 ft ≡ 0.0254 m
league (land) lea ≡ 3 US Statute miles [3] = 4828.032 m
light-day   ≡ 24 light-hours 2.59020683712×1013 m
light-hour   ≡ 60 light-minutes 1.0792528488×1012 m
light-minute   ≡ 60 light-seconds 1.798754748×1010 m
light-second   ≡ Distance light travels in one second in vacuum 299792458 m
light-year ly ≡ Distance light travels in vacuum in 365.25 days [6] = 9.4607304725808×1015 m
line ln ≡ 1/12 in [7] = 0.002116 m
link (Gunter's; Surveyor's) lnk ≡ 1/100 ch [4] ≡ 0.66 ft ≡ 7.92in = 0.201168 m
link (Ramsden's; Engineer's) lnk ≡ 1 ft [4] = 0.3048 m
metre (SI base unit) m ≡ Distance light travels in 1299792458 of a second in vacuum.[8]
110000000 of thee distance from equator to pole.
≡ 1 m
mickey   1200 in = 1.27×10−4 m
micron µ 1×10−6 m
mil; thou mil 1×10−3 in 2.54×10−5 m
mil (Sweden and Norway) mil ≡ 10 km = 10000 m
mile (geographical) (H) 6082 ft = 1853.7936 m
mile (international) mi ≡ 80 chains ≡ 5280 ft ≡ 1760 yd 1609.344 m
mile (tactical or data) 6000 ft 1828.8 m
mile (telegraph) (H) mi 6087 ft = 1855.3176 m
mile (US Survey) mi 5280 US Survey feet ≡ (5280 × 12003937) m 1609.347219 m
nail (cloth)   ≡ 2¼ in [4] = 0.057 15 m
nanometer nm 1×10−9 m 1×10−9 m
nautical league NL; nl ≡ 3 nmi [4] = 5556 m
nautical mile (Admiralty) NM (Adm); nmi (Adm) = 6080 ft = 1853.184 m
nautical mile (international) NM; nmi 1852 m [9] 1852 m
nautical mile (US pre 1954) ≡ 1853.248 m ≡ 1853.248 m
pace   ≡ 2.5 ft [4] = 0.762 m
palm   ≡ 3 in [4] = 0.0762 m
parsec pc Distance of star with parallax shift of one arc second from a base of one astronomical unit 3.085 677 82×1016 ± 6×106 m [10]
pica   ≡ 12 points Dependent on point measures.
point (American, English) [11][12] pt ≡ 1/72.272 in 0.000 351 450 m
point (Didot; European) [12][13] pt ≡ 1/12 × 1/72 of pied du roi;

After 1878:
≡ 5/133 cm
0.000 375 97 m;

After 1878:
0.000 375 939 85 m
point (PostScript) [11] pt ≡ 1/72 in = 0.000 352 7 m
point (TeX) [11] pt ≡ 1/72.27 in = 0.000 351 4598 m
quarter   ≡ ¼ yd = 0.2286 m
rod; pole; perch (H) rd ≡ 16½ ft = 5.0292 m
rope (H) rope ≡ 20 ft [4] = 6.096 m
span (H)   ≡ 9 in [4] = 0.2286 m
spat [14] ≡ 1×1012 m
stick (H)   ≡ 2 in = 0.0508 m
stigma; bicron (picometre) pm ≡ 1×10−12 m
twip twp 1/1440 in = 1.7638×10−5 m
x unit; siegbahn xu ≈ 1.0021×10−13 m [4]
yard (International) yd ≡ 0.9144 m [5] ≡ 3 ft ≡ 36 in ≡ 0.9144 m

[ Area

Area
Name of unit Symbol Definition Relation to SI units
acre (international) ac ≡ 1 ch × 10 ch = 4840 sq yd 4 046.856 4224 m2
acre (U. S. survey) ac ≡ 10 sq ch = 4840 sq yd, also 43560 sq ft. 4 046.873 m2 [15]
are a ≡ 100 m2 = 100 m2
barn b ≡ 10−28 m2 = 10−28 m2
barony   4000 ac 1.618 742×107 m2
board bd ≡ 1 in × 1 ft = 7.741 92×10−3 m2
boiler horsepower equivalent direct radiation bhp EDR ≡ (1 ft2) (1 bhp) / (240 BTUIT/h) 12.958 174 m2
circular inch circ in ≡ π/4 sq in 5.067 075×10−4 m2
circular mil; circular thou circ mil ≡ π/4 mil2 5.067 075×10−10 m2
cord   ≡ 192 bd = 1.486 448 64 m2
dunam   1 000 m2 = 1 000 m2
guntha   ≡ 121 sq yd ≈ 101.17 m2
hectare ha 10 000 m2 10 000 m2
hide   ≈ 120 ac (variable) 5×105 m2
rood ro ≡ ¼ ac = 1 011.714 1056 m2
section ≡ 1 mi × 1 mi = 2.589 988 110 336×106 m2
shed   ≡ 10−52 m2 = 10−52 m2
square (roofing) ≡ 10 ft × 10 ft = 9.290 304 m2
square chain (international) sq ch ≡ 66 ft × 66 ft = 1/10 ac 404.685 642 24 m2
square chain (US Survey) sq ch ≡ 66 ft(US) × 66 ft(US) = 1/10 ac 404.687 3 m2
square foot sq ft ≡ 1 ft × 1 ft 9.290 304×10−2 m2
square foot (US Survey) sq ft ≡ 1 ft (US) × 1 ft (US) 9.290 341 161 327 49×10−2 m2
square inch sq in ≡ 1 in × 1 in ≡ 6.4516×10−4 m2
square kilometre km2 ≡ 1 km × 1 km = 106 m2
square link (Gunter's)(International) sq lnk ≡ 1 lnk × 1 lnk ≡ 0.66 ft × 0.66 ft = 4.046 856 4224×10−2 m2
square link (Gunter's)(US Survey) sq lnk ≡ 1 lnk × 1 lnk ≡ 0.66 ft(US) × 0.66 ft(US) 4.046 872×10−2 m2
square link (Ramsden's) sq lnk ≡ 1 lnk × 1 lnk ≡ 1 ft × 1 ft = 0.09290304 m2
square metre (SI unit) m2 ≡ 1 m × 1 m = 1 m2
square mil; square thou sq mil ≡ 1 mil × 1 mil = 6.4516×10−10 m2
square mile sq mi ≡ 1 mi × 1 mi = 2.589 988 110 336×106 m2
square mile (US Survey) sq mi ≡ 1 mi (US) × 1 mi (US) 2.589 998 47×106 m2
square rod/pole/perch sq rd ≡ 1 rd × 1 rd = 25.292 852 64 m2
square yard (International) sq yd ≡ 1 yd × 1 yd 0.836 127 36 m2
stremma   1 000 m2 = 1 000 m2
township   ≡ 36 sq mi (US) 9.323 994×107 m2
yardland   ≈ 30 ac 1.2×105 m2

[ Volume

Volume
Name of unit Symbol Definition Relation to SI units
acre-foot ac ft ≡ 1 ac x 1 ft = 43 560 ft3 = 1 233.481 837 547 52 m3
acre-inch   ≡ 1 ac × 1 in = 102.790 153 128 96 m3
barrel (imperial) bl (imp) ≡ 36 gal (imp) = 0.163 659 24 m3
barrel (petroleum) bl; bbl ≡ 42 gal (US) = 0.158 987 294 928 m3
barrel (US dry) bl (US) ≡ 105 qt (US) = 105/32 bu (US lvl) = 0.115 628 198 985 075 m3
barrel (US fluid) fl bl (US) ≡ 31½ gal (US) = 0.119 240 471 196 m3
board-foot fbm ≡ 144 cu in 2.359 737 216×10−3 m3
bucket (imperial) bkt ≡ 4 gal (imp) = 0.018 184 36 m3
bushel (imperial) bu (imp) ≡ 8 gal (imp) = 0.036 368 72 m3
bushel (US dry heaped) bu (US) ≡ 1 ¼ bu (US lvl) = 0.044 048 837 7086 m3
bushel (US dry level) bu (US lvl) ≡ 2 150.42 cu in = 0.035 239 070 166 88 m3
butt, pipe   ≡ 126 gal (wine) = 0.476 961 884 784 m3
coomb   ≡ 4 bu (imp) = 0.145 474 88 m3
cord (firewood)   ≡ 8 ft × 4 ft × 4 ft = 3.624 556 363 776 m3
cord-foot   ≡ 16 cu ft = 0.453 069 545 472 m3
cubic fathom cu fm ≡ 1 fm × 1 fm × 1 fm = 6.116 438 863 872 m3
cubic foot cu ft ≡ 1 ft × 1 ft × 1 ft 0.028 316 846 592 m3
cubic inch cu in ≡ 1 in × 1 in × 1 in 16.387 064×10−6 m3
cubic metre (SI unit) m3 ≡ 1 m × 1 m × 1 m ≡ 1 m3
cubic mile cu mi ≡ 1 mi × 1 mi × 1 mi 4 168 181 825.440 579 584 m3
cubic yard cu yd ≡ 27 cu ft 0.764 554 857 984 m3
cup (breakfast)   ≡ 10 fl oz (imp) = 284.130 625×10−6 m3
cup (Canadian) c (CA) ≡ 8 fl oz (imp) = 227.3045×10−6 m3
cup (metric) c ≡ 250.0×10−6 m3 = 250.0×10−6 m3
cup (US customary) c (US) ≡ 8 US fl oz ≡ 1/16 gal (US) = 236.588 2365×10−6 m3
cup (US food nutrition labeling) c (US) ≡ 240 mL[16] = 2.4×10−4 m3
dash (imperial)   ≡ 1/384 gi (imp) = ½ pinch (imp) = 369.961 751 302 08 3×10−9 m3
dash (US)   ≡ 1/96 US fl oz = ½ US pinch = 308.057 599 609 375×10−9 m3
dessertspoon (imperial)   ≡ 1/12 gi (imp) = 11.838 776 0416×10−6 m3
drop (imperial) gtt ≡ 1/288 fl oz (imp) = 98.656 467 013 8×10−9 m3
drop (imperial) (alt) gtt 1/1 824 gi (imp) 77.886 684×10−9 m3
drop (medical)   ≡ 1/12 ml = 83.03×10−9 m3
drop (metric)   ≡ 1/20 mL = 50.0×10−9 m3
drop (US) gtt ≡ 1/360 US fl oz = 82.148 693 22916×10−9 m3
drop (US) (alt) gtt ≡ 1/456 US fl oz 64.854 231×10−9 m3
fifth   ≡ 1/5 US gal = 757.082 3568×10−6 m3
firkin   ≡ 9 gal (US) = 0.034 068 706 056 m3
fluid drachm (imperial) fl dr ≡ ⅛ fl oz (imp) = 3.551 632 8125×10−6 m3
fluid dram (US); US fluidram fl dr ≡ ⅛ US fl oz = 3.696 691 195 3125×10−6 m3
fluid scruple (imperial) fl s ≡ 1/24 fl oz (imp) = 1.183 877 60416×10−6 m3
gallon (beer) beer gal ≡ 282 cu in = 4.621 152 048×10−3 m3
gallon (imperial) gal (imp) 4.546  09 L 4.546 09×10−3 m3
gallon (US dry) gal (US) ≡ ⅛ bu (US lvl) = 4.404 883 770 86×10−3 m3
gallon (US fluid; Wine) gal (US) ≡ 231 cu in 3.785 411 784×10−3 m3
gill (imperial); Noggin gi (imp); nog ≡ 5 fl oz (imp) = 142.065 3125×10−6 m3
gill (US) gi (US) ≡ 4 US fl oz = 118.294 118 25×10−6 m3
hogshead (imperial) hhd (imp) ≡ 2 bl (imp) = 0.327 318 48 m3
hogshead (US) hhd (US) ≡ 2 fl bl (US) = 0.238 480 942 392 m3
jigger (bartending)   ≡ 1½ US fl oz ≈ 44.36×10−6 m3
kilderkin   ≡ 18 gal (imp) = 0.081 829 62 m3
lambda λ ≡ 1 mm3 = 1×10−9 m3
last   ≡ 80 bu (imp) = 2.909 4976 m3
litre L ≡ 1 dm3 [17] ≡ 0.001 m3
load   ≡ 50 cu ft = 1.415 842 3296 m3
minim (imperial) min ≡ 1/480 fl oz (imp) = 1/60 fl dr (imp) = 59.193 880 208 3×10−9 m3
minim (US) min ≡ 1/480 US fl oz = 1/60 US fl dr = 61.611 519 921 875×10−9 m3
ounce (fluid imperial) fl oz (imp) ≡ 1/160 gal (imp) 28.413 0625×10−6 m3
ounce (fluid US customary) US fl oz ≡ 1/128 gal (US) 29.573 529 5625×10−6 m3
ounce (fluid US food nutrition labeling) US fl oz ≡ 30 mL[16] 3×10−5 m3
peck (imperial) pk ≡ 2 gal (imp) = 9.092 18×10−3 m3
peck (US dry) pk ≡ ¼ US lvl bu = 8.809 767 541 72×10−3 m3
perch per ≡ 16½ ft × 1½ ft × 1 ft = 0.700 841 953 152 m3
pinch (imperial)   ≡ 1/192 gi (imp) = ⅛ tsp (imp) = 739.923 502 60416×10−9 m3
pinch (US)   ≡ 1/48 US fl oz = ⅛ US tsp = 616.115 199 218 75×10−9 m3
pint (imperial) pt (imp) ≡ ⅛ gal (imp) = 568.261 25×10−6 m3
pint (US dry) pt (US dry) ≡ 1/64 bu (US lvl) ≡ ⅛ gal (US dry) = 550.610 471 3575×10−6 m3
pint (US fluid) pt (US fl) ≡ ⅛ gal (US) = 473.176 473×10−6 m3
pony   ≡ 3/4 US fl oz = 22.180 147 171 875×10−6 m3[Converter 1]
pottle; quartern   ≡ ½ gal (imp) = 80 fl oz (imp) = 2.273 045×10−3 m3
quart (imperial) qt (imp) ≡ ¼ gal (imp) = 1.136 5225×10−3 m3
quart (US dry) qt (US) ≡ 1/32 bu (US lvl) = ¼ gal (US dry) = 1.101 220 942 715×10−3 m3
quart (US fluid) qt (US) ≡ ¼ gal (US fl) = 946.352 946×10−6 m3
quarter; pail   ≡ 8 bu (imp) = 0.290 949 76 m3
register ton   ≡ 100 cu ft = 2.831 684 6592 m3
sack (imperial); bag   ≡ 3 bu (imp) = 0.109 106 16 m3[citation needed]
sack (US)   ≡ 3 bu (US lvl) = 0.105 717 210 500 64 m3
seam   ≡ 8 bu (US lvl) = 0.281 912 561 335 04 m3[citation needed]
shot   ≡ 1 US fl oz ≈ 29.57×10−6 m3
strike (imperial)   ≡ 2 bu (imp) = 0.072 737 44 m3
strike (US)   ≡ 2 bu (US lvl) = 0.070 478 140 333 76 m3
tablespoon (Australian metric)   ≡ 20.0×10−6 m3
tablespoon (Canadian) tbsp ≡ ½ fl oz (imp) = 14.206 531 25×10−6 m3
tablespoon (imperial) tbsp ≡ 5/8 fl oz (imp) = 17.758 164 0625×10−6 m3
tablespoon (metric)   ≡ 15.0×10−6 m3
tablespoon (US customary) tbsp ≡ ½ US fl oz = 14.786 764 7825×10−6 m3
tablespoon (US food nutrition labeling) tbsp ≡ 15 mL[16] = 1.5×10−5 m3
teaspoon (Canadian) tsp ≡ 1/6 fl oz (imp) = 4.735 510 416×10−6 m3
teaspoon (imperial) tsp ≡ 1/24 gi (imp) = 5.919 388 02083×10−6 m3
teaspoon (metric)   ≡ 5.0×10−6 m3 = 5.0×10−6 m3
teaspoon (US customary) tsp ≡ 1/6 US fl oz = 4.928 921 595×10−6 m3
teaspoon (US food nutrition labeling) tsp ≡ 5 mL[16] = 5Source: this wikipedia article, under CC-BY-SA.

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340