Density (Edexcel GCSE Combined Science): Revision Note
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Density
Density is defined as:
The mass per unit volume of a material
Objects made from low density materials typically have a low mass
Similarly sized objects made from high density materials have a high mass
For example, a bag full of feathers is far lighter compared to a similar bag full of metal
Or another example, a balloon is less dense than a small bar of lead despite occupying a larger volume
Density is related to mass and volume by the following equation:
![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)
Gases, for examples, are less dense than solids because the molecules are more spread out (same mass, over a larger volume)
![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 solids
This equation can be rearranged with the help of the formula triangle:
![Density triangle (2), IGCSE & GCSE Physics revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/05/Density-triangle-2-e1630592286253.png)
Density, mass, volume formula triangle
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
This table gives some examples of densities on common materials
If a material is more dense than water (1000 kg/m3), then it will sink
Approximate Densities of Materials Table
![Table of densities of common materials, downloadable IGCSE & GCSE Physics revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2021/08/14.1.1-Table-of-densities-of-common-materials.png)
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 0.04 m × 0.5 m × 0.85 m.
![Worked Example Density, downloadable IGCSE & GCSE Physics revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2021/07/3.1.1-Worked-Example-Density.png)
Calculate the density, in kg/m3, of the material from which the paving slab is made.
Answer:
Step 1: List the known quantities
Mass of slab, m = 73 kg
Volume of slab, V = 0.04 m × 0.5 m × 0.85 m = 0.017 m3
Step 2: Write out the equation for density
![](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2021/08/Density-Equation_2.png)
Step 3: Substitute in values
ρ = 73 ÷ 0.017 = 4294 kg/m3
Step 4: Round the answer to two significant figures
ρ = 4300 kg/m3
Examiner Tips and Tricks
Make sure you are comfortable converting between units such as metres (m) and centimetres (cm) or grams (g) and kilograms (kg).
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
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