1. © T Madas

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

3. © T Madas Face Edge Vertex

4. © T Madas 1cm What is the surface area of a solid shape? Surface Area is the total area of all of its faces 4 3 12 x 2 = 8 6 24 38 cm 2

5. © T Madas What is the surface area of a solid shape? Surface Area is the total area of all of its faces 5 x 3 = 15 6 x 3 = 18 5 x 6 = 30 x 2 = 30 36 60 126 1 m m 2

6. © T Madas Calculating the Surface Area of a Cuboid

7. © T Madas 20 cm 15 cm 10 cm The amount of card needed for a box 20 x 10 = 200 15 x 10 = 150 20 x 15 = 300 x 2 = 400 300 600 F/B: L/R: T/B:

8. © T Madas 20 cm 15 cm SURFACE AREA for this box 20 x 10 = 200 15 x 10 = 150 20 x 15 = 300 x 2 = 400 300 600 1300 cm 2 The amount of card needed for a box F/B: L/R: T/B: 10 cm

9. © T Madas Calculating the Surface Area of a Cuboid

10. © T Madas 2 m 5 m 8 m SURFACE AREA for this cuboid 5 x 2 = 10 8 x 2 = 16 8 x 5 = 40 x 2 = 20 32 80 132 m 2 F/B: L/R: T/B:

11. © T Madas Calculating the Surface Area of a Cube

12. © T Madas 2 m SURFACE AREA for this cube 2 x 2 = 4 x 6 = 24 m 2

13. © T Madas Surface Area & Volume Practice

14. © T Madas Each little cube has side equal to 1 cm Volume = Surface Area = 1 cm 3 6 cm 2

15. © T Madas Each little cube has side equal to 1 cm 2 cm 3 10 cm 2 Volume = Surface Area =

16. © T Madas Each little cube has side equal to 1 cm 4 cm 3 16 cm 2 Volume = Surface Area =

17. © T Madas Each little cube has side equal to 1 cm 6 cm 3 22 cm 2 Volume = Surface Area =

18. © T Madas Each little cube has side equal to 1 cm 8 cm 3 24 cm 2 Volume = Surface Area =

19. © T Madas Each little cube has side equal to 1 cm 12 cm 3 40 cm 2 Volume = Surface Area =

20. © T Madas Each little cube has side equal to 1 cm 12 cm 3 32 cm 2 Volume = Surface Area =

21. © T Madas Each little cube has side equal to 1 cm 16 cm 3 48 cm 2 Volume = Surface Area =

22. © T Madas Each little cube has side equal to 1 cm 12 cm 3 36 cm 2 Volume = Surface Area =

23. © T Madas Each little cube has side equal to 1 cm 16 cm 3 40 cm 2 Volume = Surface Area =

24. © T Madas Each little cube has side equal to 1 cm 27 cm 3 54 cm 2 Volume = Surface Area =

25. © T Madas

26. 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

27. © 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

28. © T Madas

29. Four models made of unit cubes are shown below. All models have a volume of 5 cm 3. Which pairs of models have the same surface area? 5 x 2=10 5 x 2= 1 x 2=2 22 cm 2 4 x 2=8 3 x 2=6 3 x 2=6 20 cm 2 3 x 2=6 4 x 2=8 4 x 2=8 22 cm 2 5 x 2=10 2 x 2=4 3 x 2=6 20 cm 2

30. © T Madas Four models made of unit cubes are shown below. All models have a volume of 5 cm 3. Which pairs of models have the same surface area? 22 cm 2 20 cm 2 22 cm 2 20 cm 2

31. © T Madas

32. 50 80 A winners podium is made by stacking 6 identical cuboids as shown below, each measuring 80 cm by 50 cm by 20 cm. The outside of the podium is to be painted, except the part touching the ground. What is the surface area to be painted? 20 Measurements in cm 80x2019200 cm 2 =1600 cm 2 x12= 80x5012000 cm 2 =4000 cm 2 x3= 50x206000 cm 2 =1000 cm 2 x6= The surface area to be painted is 37200 cm 2

33. © T Madas

34. 5 cm 13 cm A cuboid is made by stacking 1 cm cubes, as shown in the diagram. The cuboid is painted yellow on all of its six faces. How many cubes will have paint on one face only? 9 cm Cubes making up the edges of the cuboid will have 2 or 3 faces painted. Painted cubes which do not form the edges of the cuboid will have only one face painted.

35. © T Madas 5 cm 13 cm A cuboid is made by stacking 1 cm cubes, as shown in the diagram. The cuboid is painted yellow on all of its six faces. How many cubes will have paint on one face only? 9 cm 11x366 cubes=33x2= 7x342 cubes=21x2= 12x8192 cubes=96x2= 300

36. © T Madas

37. A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces.

38. A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces. How many of the unit cubes have 3 red faces, 2 red faces, 1 red face and no red faces. TOTAL no red face 1 red face 2 red faces 3 red faces

39. © T Madas A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces. How many of the unit cubes have 3 red faces, 2 red faces, 1 red face and no red faces. 8 TOTAL no red face 1 red face 2 red faces 3 red faces

40. © T Madas A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces. How many of the unit cubes have 3 red faces, 2 red faces, 1 red face and no red faces. 24 8 TOTAL no red face 1 red face 2 red faces 3 red faces

41. © T Madas A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces. How many of the unit cubes have 3 red faces, 2 red faces, 1 red face and no red faces. 24 8 TOTAL no red face 1 red face 2 red faces 3 red faces

42. © T Madas A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces. How many of the unit cubes have 3 red faces, 2 red faces, 1 red face and no red faces. 24 8 TOTAL no red face 1 red face 2 red faces 3 red faces

43. © T Madas A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces. How many of the unit cubes have 3 red faces, 2 red faces, 1 red face and no red faces. 24 8 TOTAL no red face 1 red face 2 red faces 3 red faces

44. © T Madas A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces. How many of the unit cubes have 3 red faces, 2 red faces, 1 red face and no red faces. 24 8 TOTAL no red face 1 red face 2 red faces 3 red faces

45. © T Madas A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces. How many of the unit cubes have 3 red faces, 2 red faces, 1 red face and no red faces. 24 8 TOTAL no red face 1 red face 2 red faces 3 red faces

46. © T Madas A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces. How many of the unit cubes have 3 red faces, 2 red faces, 1 red face and no red faces. 24 8 TOTAL no red face 1 red face 2 red faces 3 red faces

47. © T Madas A cube is made up by connecting 4 rows by 4 columns by 4 layers of unit cubes. The larger cube is then painted red on the outside of all of its 6 faces. How many of the unit cubes have 3 red faces, 2 red faces, 1 red face and no red faces. TOTAL 8 64 24 8 no red face 1 red face 2 red faces 3 red faces

48. © T Madas