Functional Skills: Density
Functional Skills: Density Revision
DensityÂ
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).
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.Â
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
Note:
You may see weight being used instead of mass – just take them as meaning the same thing.
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Example 1:Â 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
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
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.Â
Example 3: Calculating VolumeÂ
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
Functional Skills: Density Example Questions
Question 1:Â A 0.57 kg bottle of tomato ketchup has a volume of 495 cm^3. Calculate the density of the ketchup in g/cm^3 to 2 decimal places.
[2 marks]
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.
Question 2:Â A cube with side lengths of 6 cm has a density of 12.5 g/cm^3. Calculate the mass of the cube in kg.
[3 marks]
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
Question 3:Â A block of silver has a density of 10.49 g/cm^3 and a mass of 112914.36 g. Calculate the volume of the block of silver.
[2 marks]
Volume = Mass \div Density
Volume of the block of silver = \dfrac{112914.36}{10.49}=10764 cm^3
Functional Skills: Density Worksheet and Example Questions
Density L2
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