# Metric Conversion

## Distance

One yard is currently defined as exactly **0.9144 metres**

Therefore:

```
1 yard = 3 feet
1 foot = 12 inches
1 inch = 0.9144 ÷ 3 ÷ 12 × 100 = 2.54 cm
1 mile = 1760 yards
1 mile = 0.9144 × 1760 ÷ 1000 = 1.609344 km
```

## Volume

One imperial gallon is currently defined as exactly **4.54609 litres**

One litre is defined as one cubic decimetre

One US gallon is currently defined as exactly **231 cubic inches**

Therefore:

```
1 litre = 1 ÷ 4.54609 ≈ 0.2199692483 imperial gallons
1 cubic inch = 2.54 ^3 = 16.387064 cubic cm (millilitres)
100 cubic cm (millilitres) = 100 ÷ 2.54^3 ≈ 6.1023744095 cubic inches
231 inches = 3√231 * 0.254 ≈ 1.5584912797 dm
1 US gallon = 231 cubic inches ≈ 1.5584912797 ^3 ≈ 3.785411784 cubic dm (litres)
```

## Weight

One pound is currently defined as exactly **0.45359237 kg**

Therefore:

```
1 pound = 16 oz
1 kg = 1 ÷ 0.45359237 ≈ 2.2046226218 pound ≈ 35.2739619496 oz
100 g ≈ 3.527396195 oz
1 oz = 0.45359237 × 1000 ÷ 16 ≈ 28.349523125 g
```

### References

- Yard - Wikipedia
- Imperial units - Wikipedia
- Gallon - Wikipedia
- Litre - Wikipedia
- Pound - Wikipedia
- SI Units: Length
- U.S. Department of Commerce - National Bureau of Standards - Refinement of Values for the Yard and the Pound 1-Jul-1959

-- Frank Dean - 14 May 2018