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).
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
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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