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.

How many triangles are there? Answer: 27

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

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

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

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

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

Meet Floppy and Jasmine

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.

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.