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2. In 2 dimensions square rectangle In 3 dimensions cube cuboid

3. © T Madas Face Edge Vertex

4. © T Madas What is the volume of a solid shape? Volume is the amount of space the solid takes up. 5 6 3 5 x 6 x 3 = 90 cm x cm = cm 3 cm 3

5. © T Madas What is the volume of a solid shape? Volume is the amount of space the solid takes up. 5 6 3 5 x 6 x 3 = 90 cm cm 3 3 7 4 4 x 3 x 7 = 84 m m m m3m3

6. © T Madas Find the volume of these cuboids on this 3D grid 4 2 6 48 cm 3 2 3 4 24 cm 3

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8. Find the volume of these cuboids on this 3D grid 3 2 5 30 cm 3 4 3 1 12 cm 3 2 3 4 24 cm 3 4 2 5 40 cm 3 1 5 7 35 cm 3 4 4 4 64 cm 3

9. © T Madas Find the volume of these cuboids on this 3D grid 3 3 4 36 cm 3 6 6 2 72 cm 3 5 2 7 70 cm 3 4 5 5 100 cm 3 2 5 3 30 cm 3 7 3 4 84 cm 3

10. © T Madas QUICK TEST

11. © T Madas Find the volume of these cuboids on this 3D grid 3 2 5 30 cm 3 4 3 1 12 cm 3 2 3 4 24 cm 3 4 2 5 40 cm 3 1 5 7 35 cm 3 4 4 4 64 cm 3

12. © T Madas Find the volume of these cuboids on this 3D grid 3 3 4 36 cm 3 6 6 2 72 cm 3 5 2 7 70 cm 3 4 5 5 100 cm 3 2 5 3 30 cm 3 7 3 4 84 cm 3

13. © T Madas mm 3 cm 3 4 cm 3 4000 mm 3

14. © T Madas mm 3 cm 3 4 cm 3 4000 mm 3 A volume of 4000 mm 3 means that 4000 cubes of side length 1mm can fit into this box A volume of 4 cm 3 means that 4 cubes of side length 1cm can fit into this box

15. © T Madas Finding the volume of any cuboid V =V =lx wx h

16. © T Madas Finding the volume of any cuboid 6 m 2 m 3 m V =V =lx wx h

17. © T Madas Finding the volume of any cuboid 10 cm 4 cm 5 cm V =V =lx wx h

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19. Each little cube has side equal to 1 cm Volume =1 cm 3

20. © T Madas Each little cube has side equal to 1 cm Volume =2 cm 3

21. © T Madas Each little cube has side equal to 1 cm Volume =4 cm 3

22. © T Madas Each little cube has side equal to 1 cm Volume =6 cm 3

23. © T Madas Each little cube has side equal to 1 cm Volume =8 cm 3

24. © T Madas Each little cube has side equal to 1 cm Volume =12 cm 3

25. © T Madas Each little cube has side equal to 1 cm Volume =12 cm 3

26. © T Madas Each little cube has side equal to 1 cm Volume =16 cm 3

27. © T Madas Each little cube has side equal to 1 cm Volume =12 cm 3

28. © T Madas Each little cube has side equal to 1 cm Volume =16 cm 3

29. © T Madas Each little cube has side equal to 1 cm Volume =27 cm 3

30. © T Madas Surface Area & Volume Practice Quick Test

31. © T Madas Each little cube has side equal to 1 cm V = 2 cm 3 S.A. = 10 cm 2 Find the volume and the surface area of each solid V = 4 cm 3 S.A. = 16 cm 2 V = 6 cm 3 S.A. = 22 cm 2 V = 8 cm 3 S.A. = 24 cm 2 V = 12 cm 3 S.A. = 40 cm 2

32. © T Madas Each little cube has side equal to 1 cm V = 16 cm 3 S.A. = 48 cm 2 Find the volume and the surface area of each solid V = 16 cm 3 S.A. = 40 cm 2 V = 12 cm 3 S.A. = 32 cm 2 V = 27 cm 3 S.A. = 54 cm 2 V = 12 cm 3 S.A. = 36 cm 2

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34. Calculating volumes by counting “measuring cubes” 10 24 56 40 30

35. © T Madas 1 2 3 4 6 6 7 8 9 10 Points in this 3D grid are 1 cm apart. 40 cm 3 24 cm 3 30 cm 3 44 cm 3 16 cm 3 24 cm 3 103 cm 3 35 cm 3 55 cm 3

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37. The nets shown below belong to two cuboids. The squares on this grid are 1 cm apart. 1. Calculate the surface area of each cuboid. 2. Show that both cuboids have the same volume. 12 16 Surface Area = 80 cm 2 24 6 6 16 Surface Area = 92 cm 2

38. © T Madas The nets shown below belong to two cuboids. The squares on this grid are 1 cm apart. 1. Calculate the surface area of each cuboid. 2. Show that both cuboids have the same volume. Volume = = 48 cm 3 3 x 4 wx lx lx hx h = 3x 4 Volume = = 48 cm 3 wx lx lx hx h = 3x 8x 2 3 x 8

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40. 4 cm 2 cm 9 cm 2 cm y 6 cm The two cuboids shown below have the same volume. What is the length marked as y ? Volume = = 72 cm 3 wx lx lx hx h = 9x 2x 4 Volume = = 72 cm 3 wx lx lx hx h = 6x yx yx 2 = 12x yx y 6

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