Volume of Prisms 09/05/2012 Learning objectives: Level 6: All will be able to find the volume of a...
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![Page 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/1.jpg)
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.
![Page 2: 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/2.jpg)
How many triangles are there?
![Page 3: 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/3.jpg)
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
![Page 4: 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/4.jpg)
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.
![Page 5: 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/5.jpg)
Example
6cm
5cm
10cm
Find the Volume of this triangular prism.
![Page 6: 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/6.jpg)
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.
![Page 7: 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/7.jpg)
72cm³72cm³100mm³100mm³
90cm³90cm³120m³120m³
5m
6m
EXTENSION
250cm³250cm³
2
5cm
![Page 8: 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/8.jpg)
Meet Floppy and Jasmine
![Page 9: 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/9.jpg)
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.
![Page 10: 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/10.jpg)
![Page 11: 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.](https://reader035.fdocuments.us/reader035/viewer/2022070410/56649eec5503460f94bfde5a/html5/thumbnails/11.jpg)
Plenary Activity
On your post it notes…Think about how you
can improve your work.
WWW (What Went Well)
EBI (Even Better If)