Functional Skills: Density

FS Level 2AQACity & GuildsEdexcelHighfield QualificationsNCFEOpen Awards

Functional Skills: Density Revision

Density 

Density measures the relationship between the mass and volume of an object.

The units used for density are usually kilograms per cubic metre (kg/m^3) or grams per cubic centimetre (g/cm^3).

FS Level 2AQAEdexcelCity & GuildsNCFEOpen AwardsHighfield Qualifications

See what level 2 maths topics you need support with.

The subject knowledge assessment tests your skills on a number of topics that will come up in the actual exam. You then get feedback on what you need to revise. 

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Density, Mass and Volume

Density, Mass and Volume are related by the following equations:

Density = Mass \div Volume

Mass = Density \times Volume

Volume = Mass \div Density

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Note:

You may see weight being used instead of mass – just take them as meaning the same thing.

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Example 1: Calculating Density

An object has a mass of 490 g and a volume of 1950 cm^3.

Calculate the object’s density to 3 decimal places.

[2 marks]

Density = Mass \div Volume

The object’s density =\dfrac{490}{1950}=0.251 g/cm^3

FS Level 2AQAEdexcelCity & GuildsNCFEOpen AwardsHighfield Qualifications

Example 2: Calculating Mass

A block of wood has a volume of 196 cm^3 and a density of 0.8 g/cm^3.

Calculate the mass of the the block of wood.

[2 marks]

Mass = Density \times Volume

Block of wood’s mass =0.8\times196=156.8 g

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Pass your level 2 maths exam on the first attempt!

Understanding what topics you need to revise is essential. Our subject knowledge assessment tests your knowledge on key topic areas and suggests what you need to revise. 

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Example 3: Calculating Volume 

A block of gold has a density of 19.3 g/cm^3 and a mass of 2500 g.

Calculate the volume of the gold block to 1 decimal place.

[2 marks]

Volume = Mass \div Density

Gold block volume =\dfrac{2500}{19.3}=129.5 cm^3

FS Level 2AQAEdexcelCity & GuildsNCFEOpen AwardsHighfield Qualifications

Functional Skills: Density Example Questions

First convert 0.57 kg into grams: 0.57\times1000=570 g

Density = Mass \div Volume

Density of ketchup = \dfrac{570}{495}=1.15 g/cm^3 to 2 decimal places.

First we need to work out the volume of the cube: 6\times6\times6=216 cm^3

Mass = Density \times Volume

Mass of cube = 12.5\times216=2700 g = 2.7 kg

Volume = Mass \div Density

Volume of the block of silver = \dfrac{112914.36}{10.49}=10764 cm^3

Additional Resources

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Exam Tips Cheat Sheet

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PFS

Formula Booklet

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Functional Skills: Density Worksheet and Example Questions

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Density L2

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