1 / 52

Find the volume of the following cuboids, given

1. Find the volume of the following cuboids, given. ( i ). L  = 8 cm, W  = 4 cm, H  = 2 cm. Volume = L ×  W  × H. = 8 × 4 × 2. = 64 cm 3. 1. Find the volume of the following cuboids, given. (ii). L  = 5 cm, W  = 5 cm, H  = 5 cm. Volume = L ×  W  × H. = 5 × 5 × 5.

wmitchell
Télécharger la présentation

Find the volume of the following cuboids, given

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1. Find the volume of the following cuboids, given (i) L = 8 cm, W = 4 cm, H = 2 cm Volume = L × W ×H = 8 × 4 × 2 = 64 cm3

  2. 1. Find the volume of the following cuboids, given (ii) L = 5 cm, W = 5 cm, H = 5 cm Volume = L × W ×H = 5 × 5 × 5 = 125 cm3

  3. 1. Find the volume of the following cuboids, given (iii) L = 8 cm, W = 4 cm, H = 4 cm Volume = L × W ×H = 8 × 4 × 4 = 128 cm3

  4. 2. Which of the nets below could have been folded to make the rectangular solid shown? A B C When folded, the shape has a pink rectangle on the top, a small green rectangle to the front and a pale blue rectangle to the side. Of the three nets, the one which will give the desired shape is net C.

  5. 3. Find the volume and surface area of the following rectangular solids: (i) L = 23 mm, W = 9 mm, H = 15 mm Volume = L × W ×H = 23 × 9 × 15 = 3105 mm3 Surface area = 2LW × 2LH × 2WH = 2(23)(9) + 2(23)(15) + 2(9)(15) = 414 + 690 + 270 = 1374 mm2

  6. 3. Find the volume and surface area of the following rectangular solids: (ii) L = 7 cm Volume = L3 = 73 = 343 cm3 Surface area of cube = 6L2 = 6(7)2 = 294 cm2

  7. 4. A rectangular block has length 30 cm, width 10 cm and height 14 cm. (i) Draw a diagram of the block, clearly showing all dimensions.

  8. 4. A rectangular block has length 30 cm, width 10 cm and height 14 cm. (ii) Find its volume. Volume = L × W × H = 30 × 10 × 14 = 4200 cm3

  9. 4. A rectangular block has length 30 cm, width 10 cm and height 14 cm. (iii) Find its surface area. Surface area = 2LW + 2LH + 2WH = 2(30)(10) + 2(30)(14) + 2(10)(14) = 600 + 840 + 280 = 1720 cm2

  10. 5. A cube has a length of 12 cm. Find: (i) its volume Volume of cube = L3 = 123 = 1728 cm3

  11. 5. A cube has a length of 12 cm. Find: (ii) its surface area. Surface area of cube = 6L2 = 6(12)2 = 864 cm2

  12. 6. Convert all dimensions to centimetres and hence find the capacity of the cuboid. 80 mm = 8 cm (divide by 10) Capacity = Volume = L × W × H = 11 × 8 × 7 = 616 cm3

  13. 7. Convert all dimensions to millimetres and hence find the volume of the cuboid. 0·3 cm × 10 = 3 mm (multiply by 10) Volume = L × W × H = 16 × 3 × 12 = 576 mm3

  14. 8. Each of the following nets are folded to make a cube. In each case, state which letter is on the opposite side of the cube to the letter A. (i) When folded into a cube, the letter F will be on the opposite side of the cube to the letter A.

  15. 8. Each of the following nets are folded to make a cube. In each case, state which letter is on the opposite side of the cube to the letter A. (ii) When folded into a cube, the letter C will be on the opposite side of the cube to the letter A.

  16. 8. Each of the following nets are folded to make a cube. In each case, state which letter is on the opposite side of the cube to the letter A. (iii) When folded into a cube, the letter B will be on the opposite side of the cube to the letter A.

  17. 9. A cuboid has a volume of 378 cm3. Given that its length is 9 cm and its height is 6 cm, find: (i) its width Volume = L × W × H 378 = 9 × W × 6 378 = 54W 7 cm = W

  18. 9. A cuboid has a volume of 378 cm3. Given that its length is 9 cm and its height is 6 cm, find: (ii) its surface area. Surface area = 2LW + 2LH + 2WH = 2(9)(7) + 2(9)(6) + 2(7)(6) = 126 + 108 + 84 = 318 cm2

  19. 10. A cuboid has a volume of 440 m3. Given that its length is 11 m and its width is 800 cm, find: (i) its height 800cm = 8m Volume = L × W × H 440 = 11 × 8 × H 440 = 88H 5 m = H

  20. 10. A cuboid has a volume of 440 m3. Given that its length is 11 m and its width is 800 cm, find: (ii) its surface area. Surface area = 2LW + 2LH + 2WH = 2(11)(8) + 2(11)(5) + 2(8)(5) = 176 + 110 + 80 = 366 m2

  21. 11. A cube has a volume of 729 cm3. Find: (i) its length Volume = L3 

  22. 11. A cube has a volume of 729 cm3. Find: (ii) its surface area. Surface area = 6L2 = 6(9)2 = 6(81) = 486 cm2

  23. 12. A cube has a volume of 1331 m3. Find: (i) its length Volume = L3 

  24. 12. A cube has a volume of 1331 m3. Find: (ii) its surface area. Surface area = 6L2 = 6(11)2 = 6(121) = 726 m2

  25. 13. How many rectangular biscuit packets measuring 12 cm by 4 cm by 6 cm can be packed into a cardboard box measuring 84 cm by 32 cm by 54 cm? Volume of rectangular biscuit packet = L × W × H = 12 × 4 × 6 = 288 cm3 Volume of box = L × W × H = 84 × 32 × 54 = 145,152 cm3 No. of packets =

  26. 14. An empty rectangular tank has a square base of length 80 cm. 96 litres of water is poured into the tank. Find the depth of the water in the tank. 1 litre = 1000 cm 96 litres = 1000 × 96 = 96,000 cm3 Volume of cuboid of water = L × W × H

  27. 15. A rectangular tank of length 40 cm and width 25 cm contains water. If 4 litres of water are added to the tank, find the rise in the height of the water in the tank. 1 litre = 1000 cm 4 litres = 1000 × 4 = 4000 cm3 Volume of cuboid of water = L × W × H

  28. 16. Which, if any, of the following shapes are prisms? Give a reason for your answer (i) This is not a prism, since it does not have a uniform cross-section. It is narrower on the left side than it is on the right side.

  29. 16. Which, if any, of the following shapes are prisms? Give a reason for your answer (ii) This is not a prism, since it does not have a uniform cross-section.

  30. 16. Which, if any, of the following shapes are prisms? Give a reason for your answer (iii) This is a prism, since it has the same cross-section throughout its length and its sides are parallel.

  31. 17. Given the area of the cross-section in each case, find the volume of these prisms. (i) Volume = Bh = (320)(22) = 7040 mm3

  32. 17. Given the area of the cross-section in each case, find the volume of these prisms. (ii) Volume = Bh = (27)(11) = 297 cm3

  33. 17. Given the area of the cross-section in each case, find the volume of these prisms. (iii) Volume = Bh = (120)(15·5) = 1860 m3

  34. 18. The diagram shows a wooden wedge. Find: (i) the area of the cross-section Area of cross-section

  35. 18. The diagram shows a wooden wedge. Find: (ii) the volume of the wedge Volume of wedge = Bh = (48)(18) = 864 cm3

  36. 18. The diagram shows a wooden wedge. Find: (iii) the surface area of the wedge, correct to two decimal places. Find the slant length:

  37. 18. The diagram shows a wooden wedge. Find: (iii) the surface area of the wedge, correct to two decimal places. Total surface area:

  38. 19. Find the volume of the following prisms: (i) Volume = Bh

  39. 19. Find the volume of the following prisms: (ii) Volume = Bh = [(31 × 19) + (14 × 17)] × 34 = (589 + 238) × 34 = 827 × 34 = 28,118 m3

  40. 19. Find the volume of the following prisms: (iii) 390 mm = 39 cm (divide by 10) Volume = Bh = Parallelogram × 24 = (L × h) × 24 = (39 × 28) × 24 = 1092 × 24 = 26,208 cm3

  41. 19. Find the volume of the following prisms: (iv) Volume = Bh

  42. 19. Find the volume of the following prisms: (v) 80 mm = 8 cm (divide by 10) Volume = Bh = ((18 × 9) + (30 × 8)) × 22 = (162 + 240) × 22 = 402 × 22 = 8,844 cm3

  43. 19. Find the volume of the following prisms: (vi) Volume = Bh

  44. 20. The diagram shows a swimming pool. Find the capacity of the pool. Give your answer in litres, given 1 m3 = 1,000 litres

  45. 21. Which of the cubes could have been formed by folding the net shown below? When the net of the shape is folded up, it forms cube A.

  46. 22. The diagram shows the net of a prism. (i) Find the total surface area of the prism. Divide the net up into regular shapes: Total surface area = Rectangle A + Rectangle B + Rectangle C + Triangles E + D = 200 cm2

  47. 22. The diagram shows the net of a prism. (ii) Find the volume of the prism. The completed shape would look like this: Volume of prism

  48. 23. The diagram shows the net of a prism. Find: (i) • the total surface area of the prism Total surface area of prism = 2 large rectangles + 4 small rectangles + 2 ‘L’ shapes = 2(L × W) + 4(L × W) + 2[(8 × 4) + (4 × 4)] = 2(8 × 12) + 4(4 × 12) + 2[32 + 16] = 2(96) + 4(48) + 2(48) = 192 + 192 + 96 = 480 cm2

  49. 23. The diagram shows the net of a prism. Find: (ii) • the volume of the prism. Volume of prism = Bh = (48)(12) = 576 cm3

More Related