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Comparison of the imperial and US customary measurement systems - Wikipedia Jump to content

Comparison of the imperial and US customary measurement systems

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A baby bottle with measurements in metric, imperial and US customary
A one-US-gallon petrol can purchased near the US?Canada border showing equivalents in imperial gallons and litres

Both the British imperial measurement system and United States customary systems of measurement derive from earlier English unit systems used prior to 1824 that were the result of a combination of the local Anglo-Saxon units inherited from Germanic tribes and Roman units .

Having this shared heritage, the two systems are quite similar, but there are differences. The US customary system is based on English systems of the 18th century, while the imperial system was defined in 1824, almost a half-century after American independence .

Volume [ edit ]

Volume may be measured either in terms of units of cubic length or with specific volume units. The units of cubic length (the cubic inch, cubic foot, cubic mile, etc.) are the same in the imperial and US customary systems, but they differ in their specific units of volume (the bushel , gallon , fluid ounce , etc.). The US customary system has one set of units for fluids and another set for dry goods. The imperial system has only one set defined independently of, and subdivided differently from, its US counterparts.

By the end of the 18th century, various systems of volume measurement were in use throughout the British Empire. Wine was measured with units based on the wine gallon of 231 cubic inches (3.785 L), beer was measured with units based on an ale gallon of 282 cubic inches (4.621 L) and grain was measured with the Winchester measure with a gallon of approximately 268.8 cubic inches (one eighth of a Winchester bushel or 4.405 L). In 1824, these units were replaced with a single system based on the imperial gallon. [a] Originally defined as the volume of 10 pounds (4.54 kg) of distilled water (under certain conditions), [b] then redefined by the Weights and Measures Act 1985 to be exactly 4.546 09  L (277.4 cu in), the imperial gallon is close in size to the old ale gallon.

The Winchester measure was made obsolete in the British Empire but remained in use in the US. [c] The Winchester bushel was replaced with an imperial bushel of eight imperial gallons. The subdivisions of the bushel were maintained. As with US dry measures, the imperial system divides the bushel into 4 pecks, 8 gallons, 32 quarts or 64 pints. Thus, all of these imperial measures are about 3% larger than are their US dry-measure counterparts.

Fluid measure is not as straightforward. The American colonists adopted a system based on the 231-cubic-inch wine gallon for all fluid purposes. This became the US fluid gallon. Both the imperial and US fluid gallon are divided into 4 quarts, 8 pints or 32 gills . [d] However, whereas the US gill is divided into four US fluid ounces, the imperial gill is divided into five imperial fluid ounces. So whilst the imperial gallon, quart, pint and gill are about 20% larger than are their US fluid measure counterparts, the fluid ounce is about 4% smaller. [e] One avoirdupois ounce of water has an approximate volume of one imperial fluid ounce at 62 °F (16.67 °C). [f] This convenient fluid-ounce-to-avoirdupois-ounce relation does not exist in the US system.

One noticeable comparison between the imperial system and the US system is between some Canadian and American beer bottles. Many Canadian brewers package beer in a 12-imperial-fluid-ounce bottles, which are 341 mL each. American brewers package their beer in 12-US-fluid-ounce bottles, which are 355 mL each. As a result, Canadian bottles are labelled as 11.5 fl oz in US units when imported into the United States. Because the standard size of Canadian beer bottles predates the adoption of the metric system in Canada, the bottles are still sold and labelled in Canada as 341 mL. Canned beer in Canada is sold and labelled in 355 mL cans, and when exported to the US, they are labelled as 12 fl oz.

Comparison of current imperial, US and metric volume measures
Notes:
  • Approximate values are denoted with ?
  • Exact values are denoted with ≡
  • Definitions are marked in bold
Unit name Imperial measures US fluid measures US dry measures Metric measures

fluid ounces
Imperial fluid ounce
(fl oz)

1 imp fl oz

? 0.960 759 940 40  US fl oz
? 0.947 102 083 33  US fl oz (food)

28.413 0625  mL
0.028 413 0625  L

US fluid ounce
(customary)
(fl oz)

? 1.040 842 730 79  imp fl oz

1 US fl oz
0.985 784 318 75  US fl oz (food)

29.573 529 5625  mL
0.029 573 529 5625  L

US fluid ounce
(food nutrition labelling)
(fl oz) (food)

? 1.055 852 391 84  imp fl oz

? 1.014 420 681 06  US fl oz
1 US fl oz (food)

30 mL
0.03 L


pints
Imperial pint
(pt)

20 imp fl oz
1 imp pt
0.5 imp qt
0.125 imp gal

? 19.215 198 8081  US fl oz
? 18.942 041 6667  US fl oz (food)
? 1.200 949 925 50  US pt
? 0.150 118 740 69  US gal

? 1.032 056 743 49  US dry pt
? 0.129 007 092 94  US dry gal

568.261 25  mL
0.568 261 25  L

US liquid pint
(pt)

? 16.653 483 6926  imp fl oz
? 0.832 674 184 63  imp pt
? 0.104 084 273 08  imp gal

16 US fl oz
15.772 5491  US fl oz (food)
1 US pt
0.5 US qt
0.125 US gal

? 0.859 367 007 375  US dry pt
? 0.107 420 875 922  US dry gal

473.176 473  mL
0.473 176 473  L

US dry pint
(pt)

? 19.378 779 4384  imp fl oz
? 0.968 938 971 92  imp pt
? 0.121 117 371 49  imp gal

? 18.618 354 9784  US fl oz
? 18.353 682 3786  US fl oz (food)
? 1.163 647 186 15  US pt
? 0.145 455 898 27  US gal

1 US dry pt
≡ 0.5 US dry qt
≡ 0.125 US dry gal

550.610 471 3575  mL
0.550 610 471 3575  L


quarts
Imperial quart
(qt)

40 imp fl oz
1 imp qt
2 imp pt
0.25 imp gal

? 38.430 397 6162  US fl oz
? 37.884 083 3333  US fl oz (food)
? 1.200 949 925 50  US qt
? 0.300 237 481 38  US gal

? 1.032 056 743 49  US dry qt
? 0.258 014 185 87  US dry gal

1 136 .5225 mL
1.136 5225  L

US liquid quart
(qt)

? 33.306 967 3852  imp fl oz
? 0.832 674 184 63  imp qt
? 0.208 168 546 16  imp gal

32 US fl oz
31.545 0982  US fl oz (food)
2 US pt
1 US qt
0.25 US gal

? 0.859 367 007 375  US dry qt
? 0.214 841 751 844  US dry gal

946.352 946  mL
0.946 352 946  L

US dry quart
(qt)

? 38.757 558 8768  imp fl oz
? 0.968 938 971 92  imp qt
? 0.242 234 742 98  imp gal

? 37.236 709 9567  US fl oz
? 36.707 364 7572  US fl oz (food)
? 1.163 647 186 15  US qt
? 0.290 911 796 54  US gal

1 US dry qt
≡ 2 US dry pt
≡ 0.25 US dry gal

1 101 .220 942 715  mL
1.101 220 942 715  L


gallons
Imperial gallon
(gal)

160 imp fl oz
4 imp qt
1 imp gal

? 153.721 590 465  US fl oz
? 151.536 333 333  US fl oz (food)
? 1.200 949 925 50  US gal

? 4.128 226 973 95  US dry qt
? 1.032 056 743 49  US dry gal

4 546 .09 mL
4.546 09  L

US liquid gallon
(gal)

? 133.227 869 541  imp fl oz
? 3.330 696 738 52  imp qt
? 0.832 674 184 63  imp gal

128 US fl oz
126.180 3928  US fl oz (food)
4 US qt
1 US gal
231 cu in

? 3.437 468 029 501  US dry qt
? 0.859 367 007 375  US dry gal

3 785 .411 784  mL
3.785 411 784  L

US dry gallon
(gal)

? 155.030 235 507  imp fl oz
? 3.875 755 887 68  imp qt
? 0.968 938 971 92  imp gal

? 148.946 839 827  US fl oz
? 146.829 459 029  US fl oz (food)
? 4.654 588 7446  US qt
? 1.163 647 186 15  US gal

4 US dry qt
1 US dry gal
268.8025 cu in

4 404 .883 770 86  mL
4.404 883 770 86  L


metric
litre
(l or L or dm 3 )

? 35.195 079 7279  imp fl oz
? 0.879 876 993 20  imp qt
? 0.219 969 248 30  imp gal

? 33.814 022 7018  US fl oz
? 33.333 333 3333  US fl oz (food)
? 1.056 688 209 43  US qt
? 0.264 172 052 36  US gal

? 0.908 082 984 27  US dry qt
? 0.227 020 746 07  US dry gal

1000 mL
1 L

Length [ edit ]

The international yard is defined as exactly 0.9144 metres . This definition was approved by the United States, Canada, the United Kingdom, South Africa, Australia and New Zealand through the international yard and pound agreement of 1959, and corresponds with the previous 1930s British and American definitions of 1 inch being 25.4 mm. In all systems, a yard is 36 inches.

The US survey foot and survey mile were maintained as separate units for surveying purposes to avoid the accumulation of error that would follow replacing them with the international versions, particularly with State Plane Coordinate Systems . The choice of unit for surveying purposes is based on the unit used when the overall framework or geodetic datum for the region was established; for example, much of the former British empire still uses the Clarke foot [ further explanation needed ] for surveying.

The US survey foot is defined so that 1 metre is exactly 39.37  inches , making the international foot of 0.3048 metres exactly two parts per million shorter. This is a difference of just over 3.2 mm, or a little more than one-eighth of an inch per mile. According to the National Institute of Standards and Technology , the survey foot is obsolete as of 1 January 2023, and its use discouraged. [1]

The main units of length (inch, foot, yard and international mile ) were the same in the US, though the US rarely uses some of the intermediate units today, such as the (surveyor's) chain (22 yards) and the furlong (220 yards).

At one time, the definition of the nautical mile was based on the surface area of the Clarke ellipsoid . [ further explanation needed ] While the US used the full value of 1853.256 metres, in the British Commonwealth, this was rounded to 6080 feet (1853.184 m). These have been replaced by the international version (which rounds the 60th part of the 45° to the nearest metre) of 1852 metres.

Weight and mass [ edit ]

Relation of English mass weights to one another

Traditionally, both Britain and the US used three different weight systems: troy weight for precious metals, apothecaries' weight for medicines and avoirdupois weight for almost all other purposes. However, apothecaries' weight has now been superseded by the metric system.

One important difference is the widespread use in Britain of the stone of 14 pounds ( 6.350 293 18  kg ) for body weight; this unit is not used in the United States, although flour was sold by a barrel of 196 pounds (14 stone) until World War II.

Another difference arose when Britain abolished the troy pound ( 373.241 7216  g ) on 1 January 1879, leaving only the troy ounce ( 31.103 4768  g ) and its decimal subdivisions, whereas the troy pound (of 12 troy ounces) and pennyweight are still legal in the United States, although they are no longer widely used.

In all of these systems, the fundamental unit is the pound (lb), and all other units are defined as fractions or multiples of a pound. The tables of imperial troy mass and apothecaries' mass are the same as the corresponding United States tables, except for the British spelling "drachm" in the table of apothecaries' mass. The table of imperial avoirdupois mass is the same as the United States table up to one pound, but above that point, the tables differ.

The imperial system has a hundredweight, defined as eight stone of 14 lb each, or 112 lb ( 50.802 345 44  kg ), whereas a US hundredweight is 100 lb ( 45.359 237  kg ). In both systems, 20 hundredweights make a ton . In the US, the terms long ton ( 2240 lb , 1 016 .046 9088  kg ) and short ton ( 2000 lb ; 907.184 74  kg ) are used. The metric ton is the name used for the tonne ( 1000 kg , 2 204 .622 62  lb ), which is about 1.6% less than the long ton.

The US customary system also includes the kip , equivalent to 1,000 pounds of force, which is also occasionally used as a unit of weight of 1,000 pounds (usually in engineering contexts).

See also [ edit ]

Notes [ edit ]

  1. ^ Wine gallons, however, continued to be used for tax purposes in the UK until the late 1990s.
  2. ^ The water was to be weighed in air with brass weights with the barometer standing at 30 inches of mercury (102 kPa) at a temperature of 62  °F (17 °C). In 1963 these conditions were redefined such that the water was to have a density of 0.998 859  g/mL and to be weighed in air of density 0.001 217  g/mL against weights of density 8.136 g/mL.
  3. ^ Originally defined as the volume of a cylinder 18 + 1 2 inches (470 mm) in diameter and 8 inches (200 mm) deep, the Winchester bushel was redefined in the US as 2 150 .42 cubic inches.
  4. ^ The gill is no longer in common use.
  5. ^ The now rarely used apothecaries' system of fluid measures further divides the fluid ounce into 8 fluid drams or 480 minims . Also in the imperial system there is a fluid scruple of 20 minims which is absent from the US customary system. Like the fluid ounce the dram and minim are about 4% smaller in the imperial system.
  6. ^ 160 imperial fluid ounces is equivalent to one imperial gallon, which is the approximate volume of 10 pounds or 160 avoirdupois ounces of water at 62 °F.

References [ edit ]

  1. ^ "U.S. Survey Foot" . NIST . 26 July 2019.