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Unit and Temperature Converter

Converting a unit is a multiplication by one factor — provided you keep families separate and know the exact definitions. Temperatures are the exception: they convert through an affine function with an offset.

Conversion factors worth knowing

Some factors are exact by international definition: 1 inch is exactly 2.54 cm, 1 pound exactly 0.45359237 kg, 1 foot 0.3048 m. Others are conventions: the US gallon is 3.785411784 litres, the imperial gallon 4.54609 litres.

ConversionExact factor
1 inch (in)2.54 cm
1 foot (ft)30.48 cm · 12 inches
1 yard0.9144 m
1 statute mile1,609.344 m
1 nautical mile1,852 m
1 pound (lb)0.45359237 kg
1 ounce (oz)28.349523 g
1 US gallon3.785411784 L
1 imperial gallon4.54609 L

Converting temperatures

The Celsius, Fahrenheit and Kelvin scales are not proportional: neither the origin nor the step is shared. A simple multiplication is therefore wrong.

°F = °C × 1.8 + 32
°C = (°F − 32) ÷ 1.8
K = °C + 273.15

Useful anchors: 0 °C is 32 °F and 273.15 K; 100 °C is 212 °F; −40 is the only value identical on both the Celsius and Fahrenheit scales.

Area and volume: the classic traps

Area conversions square the linear factor; volume conversions cube it. One square metre is 10,000 cm² — not 100 cm². One cubic metre is 1,000 litres, and one litre is exactly 1 dm³. Mixing these up produces errors of a factor 100 or 1,000, frequent in dosing, painting or land calculations.

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