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17 Jun 2022 17 Jun 2022 Compiled by Mr. Lafferty Maths Compiled by Mr. Lafferty Maths Dept. Dept. S4 Starter Questions S4 Starter Questions
22 Apr 202322 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
S4 Starter QuestionsS4 Starter Questions
Volumes by Counting CubesVolumes by Counting Cubes
Learning IntentionLearning IntentionTo understand the term volume in terms of counting cubes.
To understand how to calculate the volume of cuboid.
To understand the term liquid volume using millilitres and litres.
= 1 centimetre cube
1cm 1cm
1cm
= 1 cm³
One Unit of Volume is the “CUBIC One Unit of Volume is the “CUBIC CENTIMETRE”CENTIMETRE”
Volume is the amount of space a 3D - shape takes upVolume is the amount of space a 3D - shape takes up
Volumes by Counting Volumes by Counting CubesCubes
= 2 centimetre cubes
1cm
1cm
1cm
= 2 cm³
This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm³?
1cm
Volumes by Counting Volumes by Counting CubesCubes
= 3 centimetre cubes
= 3 cm³
This shape is made up of 1 centimetre cubes placed next to each other. What is its volume
in cm³
1cm
1cm
1cm
1cm
Volumes by Counting Volumes by Counting CubesCubes
What is its volume in cm³ of these shapes.
5 cm3 6 cm3
5 cm3
Volumes by Counting Volumes by Counting CubesCubes
Volume = 24 centimetre cube
One unit of Volume is the “CUBIC One unit of Volume is the “CUBIC CENTIMETRE”CENTIMETRE”
2cm
3cm
4cm
= 24 cm³
Volumes by Counting Volumes by Counting CubesCubes
Volume of a cuboid
4 layers of 18 cubes= 4 x 18
= 72 centimetre cubes = 72 cm³
18 cubes fit the base.
= 1 centimetre cube = 1 cm³
3cm
4cm
6cm
A short cut !
6 = 72 cm³ Volume =
length
x breadth x 4
x height
length
breadth
height
x 3 Volume =
3cm
4cm
6cmArea of rectangl
e
Volume = l x b x hV = 18 x 5 x 27V = 2430 cm³
Example 1
18 cm5 cm
27cmHeilander’sPorridge Oats
Working
Example 2
2cm
Volume = l x b x hV = 2 x 2 x 2V = 8 cm³
Working
Now try Ex 2.1Ch2 Pg 24 Q 1 & 2
Volume of a cuboid
1 cm
1 cm1 cm
Volume = = 1 cm³ x h x b l
How much water does this hold?
A cube with volume 1cm³ holds exact 1 millilitre of liquid.A volume of 1000 ml = 1 litre.
I’m a very small duck!
Liquid VolumeLiquid Volume
Example 1
12 cm
6 cm3 cm
OrangeFlavour
Volume = l x b x hV = 6 x 3 x 12V = 216 cm³
= 216 ml
So the carton can hold 216 ml of orange juice.
How much juice canthis carton hold?
Remember:1 cm³ = 1 ml
WorkingLiquid VolumeLiquid Volume
Example 2
50 cm
100 cm30 cm
Volume = l x b x hV = 100 x 30 x 50V = 150 000 cm³
= 150 000 ml
So the fish tank can hold 150 litres of water.
How much water can this fish tank hold in litres?
1cm3 = 1 ml1000 ml = 1
litre
= 150 litres
WorkingLiquid VolumeLiquid Volume
Now try Ex 2.1Ch3 Pg 24
Ex 2.2 Ch 3 Pg 25
Liquid VolumeLiquid Volume
