Density (Edexcel AS Physics): Revision Note
Density
Density is the mass per unit volume of an object
Objects made from low-density materials typically have a 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 the units 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
![Density equation, downloadable AS & A Level Physics revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/09/4.2.1-Density-equation.png)
![Density comparison, downloadable AS & A Level Physics revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/09/4.2.1-Density-comparison.png)
Gases are less dense than a solid
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
![Volume of shapes, downloadable AS & A Level Physics revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/09/4.2.1-Volume-of-shapes.png)
Volumes of common 3D shapes
Worked Example
A paving slab has a mass of 73 kg and dimensions 40 mm × 500 mm × 850 mm.
Calculate the density, in kg m-3 of the material from which the paving slab is made.
![WE - Density question image, downloadable AS & A Level Physics revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2021/04/WE-Density-question-image.png)
Answer:
![WE - Density answer image, downloadable AS & A Level Physics revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2021/04/WE-Density-answer-image.png)
Examiner Tips and Tricks
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
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