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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