1. Volume Volume of a cuboid Volume of a composite shape
How much space inside a 3D shape.
Volume
Volume of a cuboid
Volume of a composite shape
Volume of a triangular Prism
Liquid Volumes
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

2. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
5cm
6cm
Exchange Rate
£1 =$1.50
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

3. Compiled by Mr. Lafferty Maths Dept.
Volume of a cuboid
Learning Intention
Success Criteria
We are learning how to
calculate the volume
of a cuboid.
Remember the formula.
Apply formula correctly.
Show working and
appropriate units.
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

4. What is volume ? Volume of a cuboid www.mathsrevision.com
How much space inside a 3D shape.
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

5. Compiled by Mr. Lafferty Maths Dept.
Volume of a cuboid
3cm
4cm
6cm
18 cubes fit the base.
= 1 centimetre cube = 1 cm³
4 layers of 18 cubes
= 4 x 18
= 72 centimetre cubes
= 72 cm³
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

6. Compiled by Mr. Lafferty Maths Dept.
A short cut !
3cm
4cm
6cm
height
Area of rectangle
breadth
length
Volume = 6
x 3
x 4
= 72 cm³
Volume =
length
x breadth
x height
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

7. Compiled by Mr. Lafferty Maths Dept.
Example 1
Working
Volume = l x b x h
Heilander’s
Porridge Oats
V = 18 x 5 x 27
V = cm³
27cm
5 cm
18 cm
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

8. Compiled by Mr. Lafferty Maths Dept.
Example 2
Working
Volume = l x b x h
V = 2 x 2 x 2
V = 8 cm³
2cm
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

9. Created by Mr. Lafferty Maths Department
Volume
Now try TJ3a
Ex 1 Q1 – Q6
Ch12 (page 104 )
12-Jan-19
Created by Mr. Lafferty Maths Department

10. Starter Questions Q1. 15% of 240 Q2. Calculate 5 - 6 x 8
Q3. Expand a( 2y – 3 )
Saturday, 12 January 2019
Created by Mr.Lafferty

11. Volume of a Composite Shape
Learning Intention
Success Criteria
We are learning how to
calculate the volume
of a composite shape.
Split shape in basic shapes.
Apply formula correctly.
Show working and
appropriate units.
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

12. VT = V1 + V2 7 cm 5 cm VT = 105 + 720 3 cm VT = 825 cm3
Example 3
Find the volume of the composite shape.
VT = V1 + V2
7 cm
3 cm
5 cm
VT =
10 cm
9 cm
8 cm
VT = 825 cm3
V1 = l x b x h
= 3 x 5 x 7
V2 = l x b x h
= 105 cm³
= 8 x 10 x 9
= 720 cm³
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

13. Find the length the cuboid
Example 4
Find the length the cuboid
This just an equation.
We know how to solve them !
4 cm
Volume = L x B x H
V=200cm3
200 = L x 5 x 4
5 cm
200 = 20L
10 cm L
20L = 200
L = 10
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

14. Created by Mr. Lafferty Maths Department
Volume
Now try TJ3a
Ex 1 Q7 –Q9
Ch12 (page 106)
12-Jan-19
Created by Mr. Lafferty Maths Department

15. Starter Questions Q1. 35% of 360 Q2. Calculate 5 + 6 x 7
Q3. Expand 2( y – 5 )
Saturday, 12 January 2019
Created by Mr.Lafferty

16. Volume of Solids Prisms www.mathsrevision.com Learning Intention
Success Criteria
To understand the
prism formula for calculating volume.
To know the volume formula for any prism.
Work out volumes for
various prisms.
Answer to contain
appropriate units and working.

17. Volume of Solids www.mathsrevision.com
Definition : A prism is a solid shape with
uniform cross-section
Hexagonal Prism
Cylinder
(circular Prism)
Triangular Prism
Pentagonal Prism
Volume = Area of Cross section x length

18. Sometimes called the altitude
Any Triangle Area
h = vertical height
Sometimes called the altitude h b
A = ½bh
Saturday, 12 January 2019
Created by Mr.Lafferty

19. Any Triangle Area A = ½bh A = ½ x 6 x 8 A = 24cm2
Find the area of the triangle.
A = ½bh
A = ½ x 6 x 8
6cm
A = 24cm2
8cm
Saturday, 12 January 2019
Created by Mr.Lafferty

20. Volume of Solids www.mathsrevision.com
Definition : A prism is a solid shape with
uniform cross-section
Find the volume the triangular prism.
Triangular Prism
Volume = Area x length
= 20 x 10 = 200 cm3
10cm
20cm2

21. Volume of a Triangular Prism
Working
Triangle Area =
= 2 x4 = 8 cm2
4cm
Volume = Area x length
= 8 x 10 = 80cm3
10cm
4cm
12-Jan-19
Created by Mr. Lafferty Maths Dept.

22. Find the volume of the triangular prism.
Example
Find the volume of the triangular prism.
Working
Triangle Area =
= 3 x 3 = 9 cm2
Volume = Area x length
= 9 x 30 = 270cm3
6cm
3cm
30cm
Total Area
= = 132cm2
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

23. Example www.mathsrevision.com Find the volume of this prism. Working
Triangle Area =
= 6 x 8 = 48m2
Rectangle = l x b
= 6 x 12 = 72m2 8m 6m
Total Area =
= 120 m2
15m
12m
Volume = Area x length
= 120 x 15 =1800m3
Total Area
= = 132cm2
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

24. Created by Mr. Lafferty Maths Department
Volume
Now try TJ3a
Ex 2
Ch12 (page 107)
12-Jan-19
Created by Mr. Lafferty Maths Department

25. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
7cm
Exchange Rate
£1 =$1.50
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

26. Compiled by Mr. Lafferty Maths Dept.
Liquid Volume
Learning Intention
Success Criteria
We are learning the
term liquid volume using millilitres and litres.
Unerstand the term liquid volume.
Calculate volumes using 1ml and litres.
Answer to contain
appropriate units.
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

27. Compiled by Mr. Lafferty Maths Dept.
Liquid Volume
I’m a very small duck!
How much water does this hold?
1 cm
1 cm
1 cm
Volume = l
x b
x h
= 1 cm³
A cube with volume 1cm³ holds exact 1 millilitre of liquid.
A volume of 1000 ml = 1 litre.
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

28. Compiled by Mr. Lafferty Maths Dept.
Example 1
Liquid Volume
Working
Orange
Flavour
Volume = l x b x h
V = 6 x 3 x 12
12 cm
V = 216 cm³
= 216 ml
3 cm
6 cm
So the carton can hold
216 ml of orange juice.
Remember:
1 cm³ = 1 ml
How much juice can
this carton hold?
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

29. Compiled by Mr. Lafferty Maths Dept.
Example 2
Liquid Volume
Working
Volume = l x b x h
V = 100 x 30 x 50
V = cm³
50 cm
= ml
= 150 litres
30 cm
100 cm
How much water can this fish tank hold in litres?
1cm3 = 1 ml
1000 ml = 1 litre
So the fish tank can hold 150 litres of water.
12-Jan-19
Compiled by Mr. Lafferty Maths Dept.

30. Volume Now try TJ3a Ex 3 Ch12 (page 110)
Have you updated your Learning Log ?
Volume
Now try TJ3a
Ex 3
Ch12 (page 110)
Are you on Target ?
I can ?
12-Jan-19
Created by Mr. Lafferty Maths Department