# 4.2.1 Density

### Density

• Density is the mass per unit volume of an object
• Objects made from low-density materials typically have lower mass. For example, a balloon is less dense than a small bar of lead despite occupying a larger volume
• The units of density depend on what units are used for mass and volume:
• If the mass is measured in g and volume in cm3, then the density will be in g/cm3
• If the mass is measured in kg and volume in m3, then the density will be in kg/m3

• The volume of an object may not always be given directly, but can be calculated with the appropriate equation depending on the object’s shape Volumes of common 3D shapes

#### Exam Tip

• When converting a larger unit to a smaller one, you multiply (×)
• E.g. 125 m = 125 × 100 = 12 500 cm
• When you convert a smaller unit to a larger one, you divide (÷)
• E.g. 5 g = 5 / 1000 = 0.005 or 5 × 10-3 kg
• When dealing with squared or cubic conversions, cube or square the conversion factor too
• E.g. 1 mm3 = 1 / (1000)3 = 1 × 10-9 m3
• E.g. 1 cm3 = 1 / (100)3 = 1 × 10-6 m3 ### Author: Ashika

Ashika graduated with a first-class Physics degree from Manchester University and, having worked as a software engineer, focused on Physics education, creating engaging content to help students across all levels. Now an experienced GCSE and A Level Physics and Maths tutor, Ashika helps to grow and improve our Physics resources.
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