1. Similar Shapes – Volume – Bingo Method
Students should choose nine answers from the grid and place them
randomly into a 3x3 square in their book.
You may want to pause your display and choose questions
according to difficulty during the game.
Depending on time, students could win with
a line, an X, or a ‘full house’ (all).

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. Finding Volumes of Similar Shapes
BINGO! 45 54 23 82 37 12 76 25 91
Finding Volumes of Similar Shapes

4. Choose your numbers… 40 28 33
266 8 5 16 43 44
112 46 9 30 2 55 32
Draw a 3x3 grid in your book.

5. = 46 cm3 Volume Ratio 27 : 125 Length Ratio = 3 : 5 10 cm3 : 𝑥 cm3
These are similar shapes.
What is the volume of the larger shape?
Volume = 𝑥 cm3
Volume = 10 cm3
3 cm
5 cm
Volume Ratio
27 : 125
Length Ratio =
3 : 5
Find the value
of one piece
of the ratio.
10 cm3 : 𝑥 cm3
Volume Ratio =
33 : 53
= 46 cm3
10 ÷ 27 × 125 = 𝑥
= 27 : 125

6. = 40 cm3 Volume Ratio 27 : 64 Length Ratio = 6 : 8 = 3 : 4
These are similar shapes.
What is the volume of the larger shape?
Volume = 𝑥 cm3
Volume = 17 cm3
6 cm
8 cm
Volume Ratio
27 : 64
Length Ratio =
6 : 8
Find the value
of one piece
of the ratio.
= 3 : 4
17 cm3 : 𝑥 cm3
Volume Ratio =
33 : 43
= 40 cm3
17 ÷ 27 × 64 = 𝑥
= 27 : 64

7. = 43 cm3 Volume Ratio 64 : 125 Length Ratio = 4 : 5 22 cm3 : 𝑥 cm3
These are similar shapes.
What is the volume of the larger shape?
Volume = 22 cm3
5 cm
Volume = 𝑥 cm3
4 cm
Volume Ratio
64 : 125
Length Ratio =
4 : 5
Find the value
of one piece
of the ratio.
22 cm3 : 𝑥 cm3
Volume Ratio =
43 : 53
= 43 cm3
22 ÷ 64 × 125 = 𝑥
= 64 : 125

8. = 9 cm3 Volume Ratio 8 : 125 Length Ratio = 2 : 5 𝑥 cm3 : 148 cm3
These are similar shapes.
What is the volume of the smaller shape?
Volume = 148 cm3
Volume = 𝑥 cm3
2 cm
5 cm
Volume Ratio
8 : 125
Length Ratio =
2 : 5
Find the value
of one piece
of the ratio.
𝑥 cm3 : 148 cm3
Volume Ratio =
23 : 53
= 9 cm3
148 ÷ 125 × 8 = 𝑥
= 8 : 125

9. = 266 cm3 Volume Ratio 8 : 125 Length Ratio = 4 : 10 = 2 : 5
These are similar shapes.
What is the volume of the larger shape?
Volume = 𝑥 cm3
Volume = 17 cm3
10 cm
4 cm
Volume Ratio
8 : 125
Length Ratio =
4 : 10
Find the value
of one piece
of the ratio.
= 2 : 5
17 cm3 : 𝑥 cm3
Volume Ratio =
23 : 53
= 266 cm3
17 ÷ 8 × 125 = 𝑥
= 8 : 125

10. = 33 cm3 Volume Ratio 27 : 125 Length Ratio = 3 : 5 𝑥 cm3 : 154 cm3
These are similar shapes.
What is the volume of the smaller shape?
Volume = 154 cm3
Volume = 𝑥 cm3
3 cm
5 cm
Volume Ratio
27 : 125
Length Ratio =
3 : 5
Find the value
of one piece
of the ratio.
𝑥 cm3 : 154 cm3
Volume Ratio =
33 : 53
= 33 cm3
154 ÷ 125 × 27 = 𝑥
= 27 : 125

11. = 28 cm3 Volume Ratio 27 : 64 Length Ratio = 3 : 4 12 cm3 : 𝑥 cm3
These are similar shapes.
What is the volume of the larger shape?
Volume = 𝑥 cm3
Volume = 12 cm3
3 cm
4 cm
Volume Ratio
27 : 64
Length Ratio =
3 : 4
Find the value
of one piece
of the ratio.
12 cm3 : 𝑥 cm3
Volume Ratio =
33 : 43
= 28 cm3
12 ÷ 27 × 64 = 𝑥
= 27 : 64

12. = 5 cm3 Volume Ratio 8 : 125 Length Ratio = 4 : 10 = 2 : 5
These are similar shapes.
What is the volume of the smaller shape?
Volume = 84 cm3
Volume = 𝑥 cm3
10 cm
4 cm
Volume Ratio
8 : 125
Length Ratio =
4 : 10
Find the value
of one piece
of the ratio.
= 2 : 5
𝑥 cm3 : 84 cm3
Volume Ratio =
23 : 53
= 5 cm3
84 ÷ 125 × 8 = 𝑥
= 8 : 125

13. = 30 cm3 Volume Ratio 8 : 27 Length Ratio = 2 : 3 9 cm3 : 𝑥 cm3
These are similar shapes.
What is the volume of the larger shape?
Volume = 𝑥 cm3
Volume = 9 cm3
2 cm
3 cm
Volume Ratio
8 : 27
Length Ratio =
2 : 3
Find the value
of one piece
of the ratio.
9 cm3 : 𝑥 cm3
Volume Ratio =
23 : 33
= 30 cm3
9 ÷ 8 × 27 = 𝑥
= 8 : 27

14. = 8 cm3 Volume Ratio 1 : 8 Length Ratio = 2 : 4 = 1 : 2 𝑥 cm3 : 66 cm3
These are similar shapes.
What is the volume of the smaller shape?
Volume = 𝑥 cm3
Volume
= 66 cm3
2 cm
4 cm
Volume Ratio
1 : 8
Length Ratio =
2 : 4
Find the value
of one piece
of the ratio.
= 1 : 2
𝑥 cm3 : 66 cm3
Volume Ratio =
13 : 23
= 8 cm3
66 ÷ 8 × 1 = 𝑥
= 1 : 8

15. = 112 cm3 Volume Ratio 1 : 8 Length Ratio = 2 : 4 = 1 : 2
These are similar shapes.
What is the volume of the larger shape?
Volume = 14 cm3
Volume
= 𝑥 cm3
2 cm
4 cm
Volume Ratio
1 : 8
Length Ratio =
2 : 4
Find the value
of one piece
of the ratio.
= 1 : 2
14 cm3 : 𝑥 cm3
Volume Ratio =
13 : 23
= 112 cm3
14 ÷ 1 × 8 = 𝑥
= 1 : 8

16. = 16 cm3 Volume Ratio 8 : 27 Length Ratio = 4 : 6 = 2 : 3
These are similar shapes.
What is the volume of the smaller shape?
Volume = 54 cm3
Volume = 𝑥 cm3
4 cm
6 cm
Volume Ratio
8 : 27
Length Ratio =
4 : 6
Find the value
of one piece
of the ratio.
= 2 : 3
𝑥 cm3 : 54 cm3
Volume Ratio =
23 : 33
= 16 cm3
54 ÷ 27 × 8 = 𝑥
= 8 : 27

17. = 32 cm3 Volume Ratio 27 : 64 Length Ratio = 6 : 8 = 3 : 4
These are similar shapes.
What is the volume of the smaller shape?
Volume = 76 cm3
Volume = 𝑥 cm3
8 cm
6 cm
Volume Ratio
27 : 64
Length Ratio =
6 : 8
Find the value
of one piece
of the ratio.
= 3 : 4
𝑥 cm3 : 76 cm3
Volume Ratio =
33 : 43
= 32 cm3
76 ÷ 64 × 27 = 𝑥
= 27 : 64

18. = 55 cm3 Volume Ratio 27 : 64 Length Ratio = 6 : 8 = 3 : 4
These are similar shapes.
What is the volume of the larger shape?
Volume = 𝑥 cm3
Volume = 23 cm3
6 cm
8 cm
Volume Ratio
27 : 64
Length Ratio =
6 : 8
Find the value
of one piece
of the ratio.
= 3 : 4
23 cm3 : 𝑥 cm3
Volume Ratio =
33 : 43
= 55 cm3
23 ÷ 27 × 64 = 𝑥
= 27 : 64

19. = 2 cm3 Volume Ratio 1 : 125 Length Ratio = 1 : 5 𝑥 cm3 : 240 cm3
These are similar shapes.
What is the volume of the smaller shape?
Volume = 240 cm3
Volume = 𝑥 cm3
5 cm
1 cm
Volume Ratio
1 : 125
Length Ratio =
1 : 5
Find the value
of one piece
of the ratio.
𝑥 cm3 : 240 cm3
Volume Ratio =
13 : 53
= 2 cm3
240 ÷ 125 × 1 = 𝑥
= 1 : 125

20. = 44 cm3 Volume Ratio 27 : 343 Length Ratio = 3 : 7 𝑥 cm3 : 562 cm3
These are similar shapes.
What is the volume of the smaller shape?
Volume = 562 cm3
Volume = 𝑥 cm3
7 cm
3 cm
Volume Ratio
27 : 343
Length Ratio =
3 : 7
Find the value
of one piece
of the ratio.
𝑥 cm3 : 562 cm3
Volume Ratio =
33 : 73
= 44 cm3
562 ÷ 343 × 27 = 𝑥
= 27 : 343

22. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
Please feel free to