1. Volume of Prisms 09/05/2012 Learning objectives: Level 6:
All will be able to find the volume of a cuboid and shapes made up with cuboids.
Level 7:
Most will be able to find the volume of different shaped right prisms including composite prisms.
Level 8: Some will be able to find the volume of more complex prisms where they have to find missing lengths or take volume away.

2. How many triangles are there?
Answer: 27

3. Starter EXTENSION Calculate the area for each of the shapes below:
2cm 1)
8cm 2) 3)
12cm
3cm
4cm
6cm A B
3cm
6cm
14cm
24cm²
12cm²
48cm²
EXTENSION
Calculate the area of the compound shape below: 1)
6cm
11cm
5cm
80cm²
10cm 3

4. The Volume of a Prism Volume of a prism
A prism is a 3-D shape which has the same cross-section throughout its height.
Cuboid
Triangular prism
Pentagonal prism
Volume of a prism
= area of cross-section x vertical height

5. Example
Find the Volume of this triangular prism.
10cm
6cm
5cm

6. Example Area of cross section
Find the Volume of this triangular prism.
Area of cross section
= ½ x base x height
= ½ x x 6
= ½ x 30
= 15cm2
10cm
6cm
Volume of a prism =
Area of cross section
x depth
5cm
Volume of a prism
= x 10
= 150cm3

7. EXTENSION
72cm³
100mm³ 2
5cm 5m 6m
250cm³
90cm³
120m³

8. Meet Floppy and Jasmine

9. You have just been employed at your local pet shop, and your first customer is your maths teacher.
I need a rabbit hutch – simple.
I do however, have specific requirements.
My rabbits Floppy and Jasmine like lots of room to hop around in – at least 120m³
Obviously the more room the better but my garden is very small so I can only fit a hutch which is 160m³ or less
I would prefer something that looks exciting and not just a boring cuboid shaped one; if the hutch is cuboid shaped – I want it to have something attached to it to make it look nicer.
I can afford to spend up to £105, but that includes the hutch and the accessories for it. I need to also buy sawdust, a food bowl and a water bottle.
You can work with another colleague, providing they share their desk with you at work. However, that means you have to split the commission.

11. Think about how you can improve your work.
Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it notes…
Think about how you can improve your work.