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Friday, January 25, 2013                    SOLID GEOMETRY                                     AIRIL BIN AHMAD
Friday, January 25, 2013                  Volume of a right prism                           Formula for Prism             ...
Friday, January 25, 2013                  Volume of a right prism                           Given base area= 35cm28cm     ...
Friday, January 25, 2013    Exercise 1. Find the volume of the given prisms. a. Base area = 40 cm 2 Height       = 7 cm...
Friday, January 25, 2013                           CYLINDER                                      AIRIL BIN AHMAD
Friday, January 25, 2013    Volume of cylinder                           Formula for Cylinder                           Vo...
Friday, January 25, 2013Volume of cylinder                                 Formula for Cylinder                 7cm       ...
Friday, January 25, 2013    Exercise     1. Find the volume of the given cylinder.     a. Base area = 49 cm2 Height     ...
Friday, January 25, 2013   Exercise 2.   Find the volume of the given cylinder. a.                                      ...
Friday, January 25, 2013                           CONE                                  AIRIL BIN AHMAD
Friday, January 25, 2013    Volume of CONE                           Formula for Cone                           Volume = 1...
Friday, January 25, 2013    Exercise     1. Find the volume of the given cone.     a. Base area = 63 cm2 Height       = ...
Friday, January 25, 2013    Exercise     2.   Find the volume of the given cone.                                         ...
Friday, January 25, 2013              SOLID GEOMETRY                               AIRIL BIN AHMAD
Friday, January 25, 2013                           PYRAMID                           Formula for Volume of Pyramidheight  ...
Friday, January 25, 2013    Exercise 1. Find the volume of the given pyramid. a. Base area = 49 cm 2      Height     = 9...
Friday, January 25, 2013    Exercise     2.   Find the volume of the given pyramid.     a.                              ...
Friday, January 25, 2013                      SPHERE                           Volume of Sphere                           ...
Friday, January 25, 2013                       SPHERE                            Volume = 4 π r3                          ...
Friday, January 25, 2013    Exercise 1. Find the volume of the given sphere. a. radius = 3.5cm Ans: 179.67cm            ...
Friday, January 25, 2013                    Finding the height                    or the radius                       of a...
Friday, January 25, 2013        1. Finding the height or the radius of a cylinder.      a. The volume of a                ...
Friday, January 25, 2013                           AIRIL BIN AHMAD
Friday, January 25, 2013                    Finding the height                    or the radius                        of ...
Friday, January 25, 2013       2. Finding the height or the radius of a cone.      a. The volume of a                     ...
Friday, January 25, 2013                   Finding the height,                    length or width                      of ...
Friday, January 25, 2013       3. Finding the height or length or width of a pyramid.                                     ...
Friday, January 25, 2013                           VOLUME OF COMBINED                                        SOLID        ...
Friday, January 25, 2013                            Volume = volume of cylinder + volume of cone                          ...
Friday, January 25, 2013        Find the volume of the combined solid.   1.           8cm                              2. ...
Friday, January 25, 2013        Find the volume of the combined solid.   3.        2104.67cm3                             ...
Friday, January 25, 2013        Find the volume of the combined solid.   5.        1026.67cm3                             ...
Friday, January 25, 2013        CONE                           AIRIL BIN AHMAD
Friday, January 25, 2013   CONE                           AIRIL BIN AHMAD
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NOTE MATH FORM 3 - SOLID GEOMETRY

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NOTE MATH FORM 3 - SOLID GEOMETRY

  1. 1. Friday, January 25, 2013 SOLID GEOMETRY AIRIL BIN AHMAD
  2. 2. Friday, January 25, 2013 Volume of a right prism Formula for Prism Volume = base area x height AIRIL BIN AHMAD
  3. 3. Friday, January 25, 2013 Volume of a right prism Given base area= 35cm28cm Formula for Prism Volume = base area x height = 35 cm2 x 8 cm = 280 cm3 AIRIL BIN AHMAD
  4. 4. Friday, January 25, 2013 Exercise 1. Find the volume of the given prisms. a. Base area = 40 cm 2 Height = 7 cm b. Base area = 34 cm 2 Height = 6 cm c. Base area = 47 cm 2 Height = 2.5 cm d. Base area = 79 cm 2 Height = 10.5 cm AIRIL BIN AHMAD
  5. 5. Friday, January 25, 2013 CYLINDER AIRIL BIN AHMAD
  6. 6. Friday, January 25, 2013 Volume of cylinder Formula for Cylinder Volume = base area x height = π r2 h AIRIL BIN AHMAD
  7. 7. Friday, January 25, 2013Volume of cylinder Formula for Cylinder 7cm Volume = base area x height 8cm = π r2 h = 22 x 7 x 7 x 8 7 = 1232 cm3 AIRIL BIN AHMAD
  8. 8. Friday, January 25, 2013 Exercise  1. Find the volume of the given cylinder.  a. Base area = 49 cm2 Height = 9 cm  b. Base area = 34 cm2 Height = 7 cm  c. Radius = 7 cm Height = 2.5 cm  d. Radius = 49 cm Height = 10 cm AIRIL BIN AHMAD
  9. 9. Friday, January 25, 2013 Exercise 2. Find the volume of the given cylinder. a. c.Height = 7cm Radius = 7cm Height = 2.4cm Radius = 7cm d. b. Height = 5.5cm Radius = 14cmHeight = 13cm Radius = 14cm AIRIL BIN AHMAD
  10. 10. Friday, January 25, 2013 CONE AIRIL BIN AHMAD
  11. 11. Friday, January 25, 2013 Volume of CONE Formula for Cone Volume = 1 x base area x height 3 = 1 π r2 h 3 AIRIL BIN AHMAD
  12. 12. Friday, January 25, 2013 Exercise  1. Find the volume of the given cone.  a. Base area = 63 cm2 Height = 9 cm  b. Base area = 72 cm2 Height = 7 cm  c. Radius = 7 cm Height = 3 cm  d. Radius = 49 cm Height = 15 cm1a. Volume = (63 x 9 ) / 3 = 189cm3 1c. Volume = 1 x 22 x 7 x 7 x 3 = 154cm31b. Volume = (72 x 7 ) / 3 = 168 cm3 3 7 1d. Volume = 1 x 22 x 49 x 49 x 15 = 37730 cm3 3 7 AIRIL BIN AHMAD
  13. 13. Friday, January 25, 2013 Exercise  2. Find the volume of the given cone. 2b.  a.Height = 4cm Volume Cone= 1 x 22 x 7 x 7 x 14 Radius = 7cm 3 7 = 15092 2a. 21 Volume Cone= 1 x 22 x 7 x 7 x 4 b. = 718.67cm3 3 7 = 4312 21 Height = 14cm Radius = 7cm = 205.33cm3 AIRIL BIN AHMAD
  14. 14. Friday, January 25, 2013 SOLID GEOMETRY AIRIL BIN AHMAD
  15. 15. Friday, January 25, 2013 PYRAMID Formula for Volume of Pyramidheight Volume = base area x height 3 width Volume = length x width x h length 3 AIRIL BIN AHMAD
  16. 16. Friday, January 25, 2013 Exercise 1. Find the volume of the given pyramid. a. Base area = 49 cm 2 Height = 9 cm b. Base area = 34 cm 2 Height = 7 cm c. Length =7 cm Width= 9cm Height = 2.5 cm d. Length =8 cm Width= 10cm Height = 6 cm 1a. Vpy= 49 x 9 = 147 cm3 1c. Vpy= 7 x 9 x2.5 = 52.5 cm3 3 3 1b. Vpy= 34 x 7 = 79.33 cm3 1d. Vpy= 8 x 10 x 6 = 160 cm3 3 3 AIRIL BIN AHMAD
  17. 17. Friday, January 25, 2013 Exercise  2. Find the volume of the given pyramid.  a. b. 6 cm 8 cm 8cm 10cm 6cm 5cm AIRIL BIN AHMAD
  18. 18. Friday, January 25, 2013 SPHERE Volume of Sphere Volume = 4 π r3 3 AIRIL BIN AHMAD
  19. 19. Friday, January 25, 2013 SPHERE Volume = 4 π r3 3 7CM = 4 X 22 X 7 X 7 X 7 3 7 AIRIL BIN AHMAD
  20. 20. Friday, January 25, 2013 Exercise 1. Find the volume of the given sphere. a. radius = 3.5cm Ans: 179.67cm 3 b. radius = 2.1cm Ans: 38.81cm e. 3 c. radius = 5 cm Ans: 523.81cm 3 8 d. 3 Ans: 113.14cm3 Ans: 268.19cm3 AIRIL BIN AHMAD
  21. 21. Friday, January 25, 2013 Finding the height or the radius of a cylinder. AIRIL BIN AHMAD
  22. 22. Friday, January 25, 2013 1. Finding the height or the radius of a cylinder. a. The volume of a c. The volume of a cylinder is 462 r=7cm h=16cm cylinder is 154 cm3. Find its cm3. Find its radius if the height if the height is 3 cm. radius is 7/4 cm. b. The volume of a d. The volume of a cylinder is 4400 cylinder is 1056 cm3. Find its cm3. Find its h=1.714cm radius if the height if the height is 14 cm. r=10cm radius is 14 cm. AIRIL BIN AHMAD
  23. 23. Friday, January 25, 2013 AIRIL BIN AHMAD
  24. 24. Friday, January 25, 2013 Finding the height or the radius of a cone. AIRIL BIN AHMAD
  25. 25. Friday, January 25, 2013 2. Finding the height or the radius of a cone. a. The volume of a c. The volume of a cone is 132 cm3. cone is 154 cm3. Find its radius if the Find its height if the height is 14 cm. radius is 7 cm. b. The volume of a d. The volume of a cone is 77 cm3. cone is 297 cm3. Find its radius if the Find its height if the height is 6 cm. radius is 9 cm. 2a. 3cm 2b. 3.5cm 2c. 3cm 2d. 3.5cm AIRIL BIN AHMAD
  26. 26. Friday, January 25, 2013 Finding the height, length or width of a pyramid. AIRIL BIN AHMAD
  27. 27. Friday, January 25, 2013 3. Finding the height or length or width of a pyramid. c. The volume of a a. The volume of a pyramid is 64 cm3. pyramid is 180 cm3. Find its height if the Find its height if the length is 4 cm and base area is 60 cm2. the width is 8cm. b. The volume of a d. The volume of a pyramid is 40 cm3. pyramid is 40 cm3. Find its height if the Find its length if the base area is 20 cm2. height is 6 cm and 3a. 9cm 3b. 6cm the width is 4cm. 3c. 6cm 3d. 5cm AIRIL BIN AHMAD
  28. 28. Friday, January 25, 2013 VOLUME OF COMBINED SOLID BY AIRIL BIN AHMAD AIRIL BIN AHMAD
  29. 29. Friday, January 25, 2013 Volume = volume of cylinder + volume of cone Volume = πr2h + 1 πr2h3cm 3 Volume = 22 x 7 x 7 x 10 + 1 x 22 x 7 x 7 x 3 7 3 7 Volume = 22 x 7 x 10 + 1 x 22 x 710cm Volume = 1540 + 154 Volume = 1694 cm3 14 cm AIRIL BIN AHMAD
  30. 30. Friday, January 25, 2013 Find the volume of the combined solid. 1. 8cm 2. 2cm 3cm 1232cm3 6cm Radius=7cm 3cm 1334.67cm3 Radius=7cm AIRIL BIN AHMAD
  31. 31. Friday, January 25, 2013 Find the volume of the combined solid. 3. 2104.67cm3 2361.33cm3 4. 6cm 9cm Radius=7cm Radius=7cm AIRIL BIN AHMAD
  32. 32. Friday, January 25, 2013 Find the volume of the combined solid. 5. 1026.67cm3 6. 9cm 2720.67cm3 10cm 6cm Radius=7cm Diameter=14cm AIRIL BIN AHMAD
  33. 33. Friday, January 25, 2013 CONE AIRIL BIN AHMAD
  34. 34. Friday, January 25, 2013 CONE AIRIL BIN AHMAD

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