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?

EXTENSION

Calculate the area for each of the shapes below:

1) 2) 3)

Calculate the area of the compound shape below:

1)

8cm

3cm

6cm

4cm

14cm

2cm

6cm3cm

10cm

5cm11cm

12cmA

B

6cm

Starter

24cm² 12cm² 48cm²

80cm²

The Volume of a Prism

Cuboid Triangular prism

Pentagonal prism

• Volume of a prism

= area of cross-section x vertical height

A prism is a 3-D shape which has the same cross-section throughout its height.

Example

6cm

5cm

10cm

Find the Volume of this triangular prism.

Example

6cm

5cm

10cm

Area of cross section = ½ x base x height

= ½ x 5 x 6

= ½ x 30

= 15cm2

Volume of a prism = Area of cross section x depth

Volume of a prism = 15 x 10

= 150cm3

Find the Volume of this triangular prism.

72cm³72cm³100mm³100mm³

90cm³90cm³120m³120m³

5m

6m

EXTENSION

250cm³250cm³

2

5cm

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.1)My rabbits Floppy and Jasmine like lots of room to hop around in – at least 120m³2)Obviously the more room the better but my garden is very small so I can only fit a hutch which is 160m³ or less3)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.4)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.

Plenary Activity

On your post it notes…Think about how you

can improve your work.

WWW (What Went Well)

EBI (Even Better If)