Volume
S4
Counting Volume cubes
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Volume of a cuboid
Liquid Volume Scales
Weight and Scales
Using Weights
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Starter Questions
S4
1. Find 20% of 650
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2. Round to 1 decimal place
(a) 172.66 (b) 2.78
3. I got paid £364 for 7 days work.
What is my daily rate of pay.
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4. of 210
7
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24-Nov-11 November 24, Created by Mr. Lafferty
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Volumes by Counting Cubes
S4
Learning Intention Success Criteria
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1. To understand the 1. To know what volume
term volume in terms of means.
counting cubes.
2. Work out volumes using
3
1cm cubes.
3. Answer to contain
appropriate units.
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volume & Weight
S4
Volume is the amount of space a 3D - shape takes up
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A dice
1cm2
Grain of salt 4 Wheelie bins
1mm2 1m2
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volume & Weight
S4
Weight is measured in grams, Kilograms and Tonnes
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A cubic centimetre of water weights exactly 1g
A litre of water weights exactly 1 kg
A cubic metre of water weighs exactly 1 Tonne
1g 1kg 1Tonne
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volume & Weight
S4
What unit of volume should you use to measure
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(a) Packet of cereal cm3
(b) A diamond mm3
(c) A warehouse m3
(d) A raindrop mm3
(e) The water in a swimming pool m3
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volume & Weight
S4
What unit of weight should you use to measure
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(a) A person kg
(b) A yacht Tonnes
(c) A cup of water g
(d) A load of timber Tonnes
(e) A feather g
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volumes by Counting Cubes
S4
Volume is the amount of space a 3D - shape takes up
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1cm
1cm
One Unit of Volume is the “CUBIC CENTIMETRE”
= 1 centimetre cube = 1 cm³
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volumes by Counting Cubes
S4
This shape is made up of 1 centimetre cubes placed
next to each other. What is its volume in cm³
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1cm
1cm 1cm
= 3 centimetre cubes = 3 cm³
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volumes by Counting Cubes
S4
What is its volume in cm³ of these shapes.
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3
5 cm
3 3
5 cm 6 cm
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volumes by Counting Cubes
S4
One unit of Volume is the “CUBIC CENTIMETRE”
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3cm
4cm
Volume = 24 centimetre cube
= 24 cm³
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volumes by Counting Cubes
S4
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Now try Ex 2.1
Ch4 (page 57)
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Starter Questions
S4
1. Find 25% of 640
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2. Round to 1 decimal place
(a) 163.82 (b) 72.38
3. I got paid £54 for 9 hours work.
What is my hourly rate of pay.
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9
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24-Nov-11 November 24, Created by Mr. Lafferty
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2011 @www.mathsrevision.com
Volume of a cuboid
S4
Learning Intention Success Criteria
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1. To understand how to 1. To know the formula.
calculate the volume
of cuboid.
2. Use formula correctly.
3. Show working and
appropriate units.
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volume of a cuboid
S4
18 cubes fit
4cm the base.
3cm
6cm
= 1 centimetre cube = 1 cm³
4 layers of 18 cubes
= 4 x 18 = 72 centimetre cubes = 72 cm³
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
A short cut !
S4
height 4cm
Area of
rectangle
3cm breadth
6cm
length
Volume = 6 x 3 x 4 = 72 cm³
Volume = length x breadth x height
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Example 1
Working
Volume = l x b x h
V = 18 x 5 x 27
27cm V = 2430 cm³
Heilander’s
Porridge Oats
18 cm
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Example 2
Working
S4
Volume = l x b x h
V=2x2x2
V = 8 cm³
2cm
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Volume of a cuboid
S4
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Now try Ex 3.1 & 3.2
Ch4 (page 58)
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Starter Questions
S4
1. Find 50% of 95
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2. find the time difference between
08.30 and 16.39
3. What is the better deal
3 bars of soap for 99p
or 4 bars of £1.40
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5
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24-Nov-11 November 24, Created by Mr. Lafferty
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2011 @www.mathsrevision.com
Liquid Volume
S4
Learning Intention Success Criteria
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1. To understand the 1. To know the term liquid
term liquid volume using volume.
millilitres and litres.
2. Work out volumes using ml
and litres.
3. Answer to contain
appropriate units.
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Liquid Volume
S4
A cube with volume 1cm³
holds exact 1 millilitre of liquid.
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A volume of 1000 ml = 1 litre.
Liquids are measured in ml and litres
These jugs have different scales.
How do we work out how much liquid
in a jug?
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Liquid Volume
S4
How much liquid in the jug ?
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Count the number of small divisions
Litres 2
=
1litre 5 1000ml
1 Each division is worth
1 litre ÷ 5 =
0 1000ml ÷ 5 = 200ml
200ml x 4 = 800ml
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Liquid Volume
S4
How much liquid in the jug ?
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Count the number of small divisions
Litres 2
=
1litre 5 1000ml
1 Each division is worth
1 litre ÷ 5 =
0 1000ml ÷ 5 = 200ml
200ml x 7 = 1400ml or 1.4 litres
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Liquid Volume
S4
How much liquid in the jug ?
( Careful different scale)
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Count the number of small divisions
Litres 2
=
1litre 4 1000ml
1 Each division is worth
1 litre ÷ 4 =
0 1000ml ÷ 4 = 250ml
250ml x 7 = 1750ml or 1.75 litres
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Liquid Volume
S4
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Now try Ex 4.1
Ch4 (page 61)
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
S4
Starter Questions
Q1. Convert to 24hr clock 8.15am 10.02pm
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Q2. Round to 1 decimal place 103.525
Q3. How many minutes in 6 hours
Q4. Find the time difference between
5.12am and 2.34pm
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Weight & Scales
S4
Learning Intention Success Criteria
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1. To explain how to read 1. To be able to read scales.
scales for weighs and how
to convert from grams to
kilograms and vice versa. 2. Be able to convert from
grams to kilograms and
vice versa.
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Weight & Scales
S4
Calculate the weight each arrow is pointing at?
120g
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Count the number of small divisions
0
100g
5
200g
Each division is worth
300g
280g 100 ÷ 5 = 20g
500g 400g
540g
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Weight & Scales
S4
Calculate the weight each arrow is pointing at?
80g
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Count the number of small divisions
0
200g
5
400g
Each division is worth
600g
200 ÷ 5 = 40g
1kg 800g
720g
1kg 20g
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Weight & Scales
S4
Calculate the weight each arrow is pointing at?
80g
www.mathsrevision.com
Count the number of small divisions
0
200g
5
400g
Each division is worth
600g
200 ÷ 5 = 40g
1kg 800g
720g
1kg 20g
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Weight & Scales
S4
Kilograms x 1000 grams
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2kg 2 x 1000 2000g
1.5kg 1.5 x 1000 1500g
grams ÷ 1000 Kilograms
3000g 3000 ÷ 1000 3kg
1500g 1500 ÷ 1000 1.5kg
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Weight & Scales
S4
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Now try Ex 5.1 & 6.1
Ch4 (page 63)
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Level E
Starter Questions
1. Find the missing angle
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2. 3 cans of juice cost £2.40. 40o
How much for 2 cans.
3. 78 10
4. Find 2 numbers that add to 20
and divide to give 1.
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Weight & Scales
S4
Learning Intention Success Criteria
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1. To solve problems involving 1. To be able to convert
weight and proportion. between grams and kilograms.
2. Use proportion to solve
weight problems.
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Weight & Scales
S4
You need to remember the following.
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1000g = 1kg
1000kg = 1 tonne
Example : Change 1.7kg to grams
1.7 x 1000 = 1700g
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Weight & Scales
S4
You need to remember the following.
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1000g = 1kg
1000kg = 1 tonne
Example : Change 3200kg to tonnes
3200 ÷ 1000 = 3.2 tonnes
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Weight & Scales
S4
You need to remember the following.
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1000g = 1kg
1000kg = 1 tonne
Example : Change 4.5kg to kg and grams
4 kg 500g
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
Using Weight
S4
4 packets of crisps weigh 100g
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(a) What is the weight of 1 packet.
(b) What is the weight of 6 packets.
Answer : (a) 4pkts 100g
1 pkt 100 ÷ 4 = 25g
Answer : (b) 6 pkts 25 x 6 = 150g
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
39
Using Weight
S4
6 teacakes weigh 120g
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(a) What is the weight of 1 teacake.
(b) What is the weight of 10 teacakes.
Answer : (a) 6pkts 120g
1 pkt 120 ÷ 6 = 20g
Answer : (b) 10 pkts 20 x 10 = 200g
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.
40
Weight & Scales
S4
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Now try Ex 7.1 & 7.2
Ch4 (page 65)
24-Nov-11 Compiled by Mr. Lafferty Maths Dept.