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Prism – Volume – Complete Lesson Preview the presentation to check ability-level, AFL questions,

Preview the presentation to check ability-level, AFL questions, and animations during demonstrations. Delete unnecessary slides/sections.

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Prism – Volume – Complete Lesson Preview the presentation to check ability-level, AFL questions,

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  1. Prism – Volume – Complete Lesson Preview the presentation to check ability-level, AFL questions, and the animations during demonstrations. It is recommended to delete slides/sections not needed for your class.

  2. Printing To print handouts from slides - Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

  3. STARTER ④ Calculate the area of these shapes. 7 cm ① 8 cm 6 cm 5 cm ⑥ 8 cm 8 cm 5 cm 4 cm 6 cm 5 cm ② ⑤ 12 cm 10 cm 5 cm ⑦ 9 cm 4 cm 7 cm 6 cm ③ 4 cm 3 cm 3 cm (not to scale) 8 cm

  4. STARTER ④ Calculate the area of these shapes. 7 cm ① 8 cm 6 cm 24 cm2 5 cm 40 cm2 ⑥ 8 cm 8 cm 5 cm 4 cm 40 cm2 6 cm 5 cm ② ⑤ 12 cm 30 cm2 10 cm 5 cm ⑦ 15 cm2 9 cm 4 cm 7 cm 6 cm ③ 4 cm 3 cm 36 cm2 21 cm2 3 cm (not to scale) 8 cm

  5. APED3SH 3D SHAPE GHTEHI HEIGHT DTWIH WIDTH HLTGNE LENGTH UMLVOE VOLUME SMPIR PRISM

  6. 13 April 2019 Volume of a Prism

  7. KNOWLEDGE CHECK Calculate the volume of these prisms. 8 cm 5 cm 2 cm 8 cm 2 cm 7 cm 7 cm 8 cm 5 cm 6 cm 2 cm 7 cm

  8. KNOWLEDGE CHECK Calculate the volume of these prisms. 8 cm 80 cm3 150 cm3 5 cm 2 cm 8 cm 2 cm 7 cm 7 cm 8 cm 5 cm 6 cm 2 cm 147 cm3 Answers 7 cm

  9. What type of shape? When you start looking, prisms are all around you! Volume is very important if you design anything.

  10. Jack loves chocolate… £2 50p 4 cm 4 cm 7 cm 6 cm 6 cm 3 cm = 168 cm3 = 36 cm3 × 4 = 144 cm3 Which package is the best deal?

  11. A 3D shape with the same cross-section all the way along its length. Prism:

  12. What are these shapes? Are they prisms? Square-Based Pyramid Circle-Based Pyramid (Cone) Frustum of a circle-based pyramid.

  13. Prism or not? d a b c f e g h i l k j

  14. Prism or not? d a b c f e g h i l k j

  15. Finding the volume of a prism. How can we calculate the total number of cubes?

  16. If we can find the volume of one slice, we can multiply that to find the total volume. We call one slice of a prism the cross-section.

  17. 1cm 1cm 1cm = 1 cm3 5 cm Cross-Section = 12 cm3 Length = 5 cm Volume of a prism = Cross-Section × Length cm3 Volume = 12 × 5 = 60

  18. 1cm 1cm 1cm = 1 cm3 6 cm Cross-Section = 8 cm3 Length = 6 cm Volume of a prism = Cross-Section × Length Volume = 8 × 6 = 48 cm3

  19. 1cm 1cm 1cm = 1 cm3 7 cm Cross-Section = 10 cm3 Length = 7 cm Volume of a prism = Cross-Section × Length Volume = 10 × 7 = 70 cm3

  20. 1cm 1cm 1cm = 1 cm3 5cm Cross-Section = 12 cm3 Length = 5 cm Volume of a prism = Cross-Section × Length Volume = 12 × 5 = 60 cm3

  21. 6 cm 5 cm 6 cm Cross-Section = 18 cm2 Length = 5 cm Volume of a prism = Cross-Section × Length Volume = 18 × 5 = 90 cm3

  22. 6 cm 8 cm 7 cm Cross-Section = 21 cm2 Length = 8 cm Volume of a prism = Cross-Section × Length Volume = 21 × 8 = 168 cm3

  23. What method could we use for a compound shape? 6 cm 3 cm 2 cm A 8 cm B 7 cm 6 cm Cross-Section × Length 2 Prisms Prism A = 24 × 7 = 168 cm3 Cross-Section = A + B = 24 cm2 + 6 cm2 Prism B = 6 × 7 = 42 cm3 = 30 cm2 Total = 210 cm3 Volume = 30 × 7 = 210 cm3

  24. Volume of a prism = Cross-Section Length 3cm 1cm 2cm 6cm 5cm 4cm 5cm 4cm 4cm 5cm

  25. Volume of a prism = Cross-Section Length 24 cm3 20 cm3 3cm 1cm 68 cm3 2cm 60 cm3 6cm 5cm 4cm 5cm 4cm 4cm 5cm

  26. Volume of a Prism Answer Box Some extras! 1 cm Calculate the volume of each prism. Match it with an answer from the answer box! 120 cm3 10 cm 3 cm 9 cm 2 cm 4 cm 45 cm3 5 cm A B 54 cm3 4 cm C 3 cm 800 cm3 9 cm 2 cm 60 cm3 4 cm 3 cm 5 cm E 28 cm3 9 cm 8 cm 7 cm 27 cm3 8 cm G D 80 cm3 3 cm 6 cm 6 cm 9 cm 36 cm3 8 cm (not to scale) 10 cm F 4 cm 12 cm Calculate the volume of these compound prisms. 2 cm 8 cm 5 cm 2 cm 8 cm 10 cm 12 cm I 6 cm H 10 cm 4 cm Find the missing lengths () Volume = 336 cm3 Volume = 180 cm3 cm 11 cm cm cm 8 cm 3 cm L J K 7 cm 6 cm Volume = 132 cm3 2 cm 5 cm

  27. Volume of a Prism Answer Box Some extras! 1 cm Calculate the volume of each prism. Match it with an answer from the answer box! 60 cm3 80 cm3 27 cm3 120 cm3 10 cm 3 cm 9 cm 2 cm 4 cm 45 cm3 5 cm A B 54 cm3 4 cm C 3 cm 800 cm3 9 cm 120 cm3 2 cm 60 cm3 4 cm 54 cm3 3 cm 5 cm E 28 cm3 9 cm 36 cm3 8 cm 7 cm 27 cm3 8 cm G D 80 cm3 3 cm 800 cm3 6 cm 6 cm 9 cm 36 cm3 8 cm (not to scale) 10 cm F 4 cm 12 cm Calculate the volume of these compound prisms. 420 cm3 2 cm 8 cm 5 cm 2 cm 288 cm3 8 cm 10 cm 12 cm I 6 cm H 10 cm 4 cm Find the missing lengths () Volume = 336 cm3 Volume = 180 cm3 cm 4 cm 11 cm Answers cm 10 cm 12 cm cm 8 cm 3 cm L J K 7 cm 6 cm Volume = 132 cm3 2 cm 5 cm

  28. Volume of a Prism Volume of a Prism Answer Box Some extras! Answer Box Some extras! 1 cm 1 cm Calculate the volume of each prism. Match it with an answer from the answer box! Calculate the volume of each prism. Match it with an answer from the answer box! 120 cm3 120 cm3 10 cm 10 cm 3 cm 3 cm 9 cm 9 cm 2 cm 2 cm 4 cm 4 cm 45 cm3 45 cm3 5 cm 5 cm A A B B 54 cm3 54 cm3 4 cm 4 cm C C 3 cm 3 cm 800 cm3 800 cm3 9 cm 9 cm 2 cm 2 cm 60 cm3 60 cm3 4 cm 4 cm 3 cm 3 cm 5 cm 5 cm E E 28 cm3 28 cm3 9 cm 9 cm 8 cm 8 cm 7 cm 7 cm 27 cm3 27 cm3 8 cm 8 cm G G D D 80 cm3 80 cm3 3 cm 3 cm 6 cm 6 cm 6 cm 6 cm 9 cm 9 cm 36 cm3 36 cm3 8 cm 8 cm (not to scale) (not to scale) 10 cm 10 cm F F 4 cm 4 cm 12 cm 12 cm Calculate the volume of these compound prisms. Calculate the volume of these compound prisms. 2 cm 2 cm 8 cm 8 cm 5 cm 5 cm 2 cm 2 cm 8 cm 8 cm 10 cm 10 cm 12 cm 12 cm I I 6 cm 6 cm H H 10 cm 10 cm 4 cm 4 cm Find the missing lengths () Find the missing lengths () Volume = 336 cm3 Volume = 336 cm3 Volume = 180 cm3 Volume = 180 cm3 cm cm 11 cm 11 cm cm cm cm cm 8 cm 8 cm 3 cm 3 cm L L J J K K 7 cm 7 cm 6 cm 6 cm Volume = 132 cm3 Volume = 132 cm3 2 cm 2 cm 5 cm 5 cm

  29. Find the volume of these prisms. ③ 2 m 7 m 6 m ① 8 m 3 m 6 m 6 m 3 m 12 m 2 m 1 m 3 m 10 m 3 cm ② ④ 2 m 3.5 cm 6 cm 5 m 5 m 7 cm 6 m 11 m 7 cm

  30. Answers Find the volume of these prisms. ③ 2 m 7 m 6 m ① 8 m 3 m 6 m 6 m 3 m 184 m3 12 m 2 m 1 m 3 m 672 m3 10 m 259 cm3 276 m3 3 cm ② ④ 2 m 3.5 cm 6 cm 5 m 5 m 7 cm 6 m 11 m 7 cm

  31. KNOWLEDGE CHECK Calculate the volume of these prisms. 8 cm 5 cm 2 cm 8 cm 2 cm 7 cm 7 cm 8 cm 5 cm 6 cm 2 cm 7 cm

  32. KNOWLEDGE CHECK Calculate the volume of these prisms. 8 cm 80 cm3 150 cm3 5 cm 2 cm 8 cm 2 cm 7 cm 7 cm 8 cm 5 cm 6 cm 2 cm 147 cm3 Answers 7 cm

  33. Are these both prisms? Bases are parallel. Shapes have the same cross-section all along their lengths. Right Prism Oblique Prism

  34. Check your success! I can calculate the volume of a rectangle-based prism (cuboid). I can calculate the volume of a triangle-based prism. I can calculate the volume of trapezium-based and compound prisms.

  35. Check your success! I can calculate the volume of a rectangle-based prism (cuboid). I can calculate the volume of a triangle-based prism. I can calculate the volume of trapezium-based and compound prisms.

  36. Write a text message to a friend describing… A method to find the volume of a prism.

  37. Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk

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