18 Apr 202318 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 Intention

To 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 h

V = 18 x 5 x 27

V = 2430 cm³

Example 1

18 cm

5 cm

27cm

Heilander’sPorridge Oats

Working

Example 2

2cm

Volume = l x b x h

V = 2 x 2 x 2

V = 8 cm³

Working

Now try Ex 2.1Ch2 Pg 24 Q 1 & 2

Volume of a cuboid

1 cm

1 cm

1 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 cm

3 cm

OrangeFlavour

Volume = l x b x h

V = 6 x 3 x 12

V = 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 cm

30 cm

Volume = l x b x h

V = 100 x 30 x 50

V = 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 ml

1000 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