1. The Creme Egg FREAKSHAKE!
How long does the stick need to be so that it holds the creme egg in the right place?
14½cm
8cm

2. Consider the following box:
What shape is it?

3. Consider the following box:
How many edges does it have?

4. Consider the following box:
How many faces does it have?

5. Consider the following box:
How many vertices does it have?

6. Consider the following box:
How many diagonals does it have?

7. Consider the following box:A C D E G H
Labelling the vertices helps when describing diagonals.

8. How many diagonals are the same length as CH?
What are they? B C A D F G E H

9. How many diagonals are the same length as CH?
How do you know they’re the same length? B C A D F G E H

10. How many diagonals are the same length as ED?
What are they? B C A D F G E H

11. How many diagonals are the same length as FH?
What are they? B C A D F G E H

12. How many diagonals are the same length as FH?
What other shapes can you see? B C A D
Triangles – Right angled F G E H

13. How many diagonals are the same length as FH?
How do you know it’s right angled? B C A D
Triangles – Right angled F G E H

14. How many diagonals are the same length as FD?
What are they? B C A D F G E H

15. How many diagonals are the same length as FD?
How do you know they’re the same length? B C A D F G E H

16. How many diagonals are the same length as FD?
We will call these space diagonals B C A D F G E H

17. Let’s go back to the cardboard box …
The dimensions of the box have been measured and added to the diagram
14½ cm
29 cm
19 cm

18. Let’s go back to the cardboard box …
Discuss:
Could a 30cm ruler fit inside the box?
14½ cm
25 cm
19 cm

19. Let’s go back to the cardboard box …
Discuss:
Could a 30cm ruler fit inside the box?
14½ cm ?
25 cm
19 cm

20. Let’s look from a different angle.
14½cm ?
19 cm
25 cm

21. Let’s look from a different angle.
14½cm ?
19 cm
25 cm

22. Let’s look from a different angle.
14½cm ?
19 cm
25 cm

23. Let’s look from a different angle.
14½cm ?
19 cm
25 cm

24. 25cm
25cm ? ?
In resources if you want students to have a copy

25. What could we label the hypotenuse?
25cm
25cm x ? 19 25
What could we label the hypotenuse?
How could we find the length of the hypotenuse?

26. What length on our diagram does this relate to?
25cm
25cm x ? 19
What length on our diagram does this relate to?
Can you add it to our diagram?
Why should we leave our answer like this? 25
x2 =
x2 = 986
x = 986

27. 25cm
25cm x ? 19 ? 25 ?
x2 =
x2 = 986
x = 986

28. So yes, the ruler can fit inside the box.
25cm
25cm
So yes, the ruler can fit inside the box. x ? 19
14.5 25
986
x2 =
y2 = ( 986 )
x2 = 986
y2 =
y = 34.6 cm
x = 986

29. Find the length of the space diagonal
In your pairs …
Find the length of the space diagonal
13 m
6 m
18 m

30. Which method do you prefer?
How are they different?
Which method do you prefer?

31. Which cuboid has the longest space diagonal?
Let 1 cube, be 1 unit in length

32. 14½cm ?
19 cm
25 cm

33. 14½cm ?
19 cm
25 cm

34. 25cm
25cm