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

Consider the following box: What shape is it?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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?

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 = 252 + 192 x2 = 986 x = 986

25cm 25cm x ? 19 ? 25 ? x2 = 252 + 192 x2 = 986 x = 986

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 = 252 + 192 y2 = ( 986 )2 + 14.52 x2 = 986 y2 = 1196.25 y = 34.6 cm x = 986

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

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

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

14½cm ? 19 cm 25 cm

14½cm ? 19 cm 25 cm

25cm 25cm