Units of measure - AQAChanging between units of measurement

Units of measurement let us describe and compare length, weight, area, volume, density and other values. Units can be imperial or metric and they can be converted using conversion factors.

Part ofMathsGeometry and measure

Changing between units of measurement

There are two systems used for measuring quantities - metric and imperial.

The metric system uses three main units for measuring:

  • length in metres (m)
  • mass in kilograms (kg)
  • volume in cubic metres (m3)

The imperial system uses the following units:

  • length in inches, feet and yards
  • mass in pounds (lb), ounces (oz) and stones
  • volume in gallons

Converting metric units of length

The most common metric unit conversions for length are:

  • 1 km = 1,000 m
  • 1 m = 100 cm
  • 1 cm = 10 mm
  • 1 m = 1,000 mm

These can be used to convert the units used to measure length.

Example

The sunflower is 214 cm tall. Calculate the height of the sunflower in:

(a) metres

(b) millimetres

Sunflower of height = 214cm

(a) 1 metre = 100 centimetres

So, \(214~\text{cm} = (214 \div 100)~\text{m} = 2.14~\text{m}\)

(b) 1 centimetre = 10 millimetres

So, \(214~\text{cm} = (214 \times 10)~\text{mm} = 2,140~\text{mm}\)

1 metre is longer than 1 centimetre, so to convert from metres to centimetres, multiply by 100. 1 millimetre is shorter than 1 centimetre so to convert from millimetres to centimetres, divide by 10.