m

Mathematical symbols

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Measures

UK imperial units

The following imperial units are still used in the United Kingdom despite general conversion to the metric system: mile, yard, foot, inch for road traffic signs, distance and speed measurement; pint for draught beer and cider and for milk in returnable containers; acre for land registration; troy ounce for transactions in precious metals; pounds and ounces in all small-scale (especially market) transactions involving weight.

Conversions

Acceleration

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Volume and capacity

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Weight

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Gold

The purity of gold is expressed as parts of 1,000, so that a fineness of 800 is 80% gold. Pure gold is defined as 24 carats (1,000 fine). Dental gold is usually 16 or 20 carat; gold in jewellery 9–22 carat. A golden sovereign is 22 carat.

1 metric carat = 200 milligrams.

Gold and silver are usually measured in troy weights: 1 troy ounce = 155.52 metric carats.

A standard international bar of gold is 400 troy ounces; bars of 250 troy ounces are also used.

Metric units

Metric units not generally recommended as SI units or for use with SI are marked with an asterisk (eg, Calorie*).

Length

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Area

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Weight (mass)

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Volume

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Capacity

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Metric system prefixes

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a Sometimes dk is used (eg, in Germany).

Miscellaneous units and ratios

Beer

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Champagne

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Wines and spirits

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Precious metals

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Water

1 litre weighs 1kg.

1 cubic m weighs 1 tonne.

1 UK gallon weighs 10.022lb.

1 US gallon weighs 8.345lb.

Energy

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Radioactivity

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Dose of radiation

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Energy is measured in kilowatt hours and power is measured in kilowatts. Energy is power multiplied by time, thus the kilowatt-hour is one unit of energy.

Crude oil

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Clothing sizes (rough equivalents)

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Paper sizes

“A” Series (metric sizes)

A0 = 841mm [.dotmath] 1,189mm (33.11 in [.dotmath] 46.81 in)

A3 = 297mm [.dotmath] 420mm (11.69 in [.dotmath] 16.54 in)

A4 = 210mm [.dotmath] 297mm (8.27 in [.dotmath] 11.69 in)

A5 = 148mm [.dotmath] 210mm (5.83 in [.dotmath] 8.27 in)

A6 = 105mm [.dotmath] 148mm (4.13 in [.dotmath] 5.83 in)

A7 = 74mm [.dotmath] 105mm (2.91 in [.dotmath] 4.13 in)

Conversion factorsa

Multiply number of

by

to obtain equivalent number of

Length

inches (in)

25.4

millimetres (mm)

inches

2.54

centimetres (cm)

feet (ft)

30.48

centimetres

feet

0.3048

metres (m)

yards (yd)

0.9144

metres

miles (land 5,280 ft)

1.609344

kilometres (km)

miles (UK sea)

1.853184

kilometres

miles, international nautical

1.852

kilometres

 

 

 

Area

sq. inches (in2)

645.16

sq. millimetres (mm2)

sq. inches

6.4516

sq. centimetres (cm2)

sq. ft (ft2)

929.0304

sq. centimetres

sq. ft

0.092903

sq. metres (m2)

sq. yards (yd2)

0.836127

sq. metres

acres

4046.86

sq. metres

acres

0.404686

hectares (ha)

acres

0.004047

sq. kilometres (km2)

sq. miles

2.58999

sq. kilometres

Volume and capacity

cu. inches (in3)

16.387064

cu. centimetres (cm3)

UK pints

34.6774

cu. inches

UK pints

0.5683

litres (l)

UK gallons

4.54609

litres

US gallons

3.785

litres

cu. feet (ft3)

28.317

litres

cu. feet

0.028317

cu. metres (cm3)

UK gallons

1.20095

US gallons

 

 

 

Length

millimetres

0.03937

inches

centimetres

0.3937

inches

centimetres

0.03281

feet

metres

39.3701

inches

metres

3.2808

feet

metres

1.0936

yards

metres

0.54681

fathoms

kilometres

0.62137

miles (land)

kilometres

0.53961

miles (UK sea)

kilometres

0.53996

miles (int’l nautical)

 

 

 

Area

sq. millimetres

0.00155

sq. inches

sq. centimetres

0.1550

sq. inches

sq. metres

10.7639

sq. feet

sq. metres

1.19599

sq. yards

hectares

2.47105

acres

sq. kilometres

247.105

acres

sq. kilometres

0.3861

sq. miles

 

 

 

Volume and capacity

cu. centimetres

0.06102

cu. inches

litres

61.024

cu. inches

litres

2.1134

US pints

litres

1.7598

UK pints

litres

0.2642

US gallons

litres

0.21997

UK gallons

hectolitres

26.417

US gallons

hectolitres

21.997

UK gallons

 

 

 

US gallons

0.832674

UK gallons

 

 

 

weight (mass)

ounces, avoirdupois (oz)

28.3495

grams (g)

ounces, troy (oz tr)

31.1035

grams

ounces, avoirdupois

0.9115

ounces, troy

pounds, avoirdupois (lb)

453.59237

grams

pounds, avoirdupois (lb)

0.45359

kilograms (kg)

short tons (2,000 lb)

0.892857

long tons

short tons (2,000 lb)

0.907185

tonnes (t)

long tons (2,240 lb)

1.12

short tons

long tons (2,240 lb)

1.01605

tonnes

velocity and fuel consumption

miles/hour

1.609344

kilometres/hour

miles/hour

0.868976

international knots

miles/UK gallon

0.35401

kilometres/litre

miles/US gallon

0.42514

kilometres/litre

UK gallons/mileb

282.481

litres/100 kilometres

US gallons/mileb

235.215

litres/100 kilometres

Temperature

degrees Fahrenheit

5/9 after subtracting 32

degrees Celsius (centigrade)

-40°F

equals

-40°C

32°F

equals

0°C

59°F

equals

15°C

hectolitres

2.838

US bushels

hectolitres

2.750

UK bushels

cu. metres

35.3147

cu. feet

cu. metres

1.30795

cu. yards

cu. metres

264.172

US gallons

weight (mass)

grams

0.03527

ounces, avoirdupois

grams

0.03215

ounces, troy

kilograms

2.20462

pounds, avoirdupois

metric quintals (q)

220.462

pounds, avoirdupois

tonnes

2,204.62

pounds, avoirdupois

tonnes

1.10231

short tons

tonnes

0.984207

long tons

 

 

 

velocity and fuel consumption

kilometres/hour

0.62137

miles/hour

kilometres/hour

0.53996

international knots

kilometres/litre

2.82481

miles/UK gallon

litres/100 kilometresc

0.00354

UK gallons/mile

litres/100 kilometresc

0.00425

US gallons/mile

 

 

 

Temperature

degrees Celsius

9/5 and add 32degrees Fahrenheit

 

 

 

37°C

equals

98.6°F

50°C

equals

122°F

100°C

equals

212°F

a Between the UK and US systems, and the International System of Units (SI). As an example of the use of the table, 10 long tons (of 2,240lb each), multiplied by 1.12, is equal to 11.2 short tons (of 2,000lb each).

b Miles per UK gallon, divided into 282.481, gives litres per 100 kilometres; miles per US gallon, divided into 235.215, gives litres per 100 kilometres.

c Litres per 100 kilometres, divided into 282.481, gives miles per UK gallon; litres per 100 kilometres, divided into 235.215, gives miles per US gallon.