1. Chapter 11 SURFACE AREAS AND VOLUMES

2. Exploring three dimensional figures 11.1

3. Different views

4. Corner view

6. prisms

8. Platonic solids Because Plato described them so fully in his writings.

13. Cross section

15. 11.2 Nets and Surface Areas

16. Isometric dot paper

17. Warm up Draw and Find the surface area of the figure

19. This is a NET

20. A good way to start drawing a prism

21. Draw a figure from 2 different perspectives

23. Class assignment: create a real figure using isometric dot paper.

24. C grade example (not creative at all)

25. B grade example

26. A grade example

27. More A grade examples

29. A grade example

30. A grade examples

31. A examples

32. Worth: an exam grade Due: March 22nd 2012 it must be constructed using isometric dot paper

34. More A grade exmples

35. Warm up 3/23/12 SUPREME Acrylic Latex Flat House Paint can be used over new or previously painted surfaces in good condition. It is formulated to cover most surfaces in one coat when applied at the rate of four hundred square feet per gallon. Acrylic Latex House Paint dries dust and bug free in thirty minutes. It provides a durable and protective finish on any properly primed and prepared exterior surface, including wood, hardboard, masonry, metals and galvanized metals. Use on exterior siding, foundations, fascia, shutters or retaining walls. How many gallons should I buy to paint the house?

36. 11.3 Surface Area of prisms and cylinders

40. Lateral Area of a Right prism L=Ph L: lateral area P: perimeter of the base h: height of the prism

41. Example 1: Find the lateral area of the right hexagonal prism, shown i

43. Total Surface Area of a Right Prism Total surface area: LA+2B T= Ph+2B

44. Example 2: Find the total area of the triangular prism, shown in Figure 2.2 Figure 2 A (right) triangular prism.

45. The base of this prism is a right triangle with legs of 3 ft and 4 ft

46. The perimeter of the base is (3 + 4 + 5) ft, or 12 ft. Because the triangle is a right triangle, its legs can be used as base and height of the triangle.

47. The altitude of the prism is given as 2 ft. Therefore

48. Lateral area of a cylinder If a cylinder is pictured as a soup can, its lateral area is the area of the label. If the label is carefully peeled off, the label becomes a rectangle.

51. find (a) LA (b) TA

53. Warm up 3/26/12 Find the lateral and surface area of the figure:

54. Exam check

55. Weekend Hw collection

56. 11.4 Surface Area of pyramids and cones

58. H: height R:radius S: slant height or “ l ”

62. Find the lateral area

63. Find the surface area r=4

66. Find its lateral and surface area

67. C is the hypothenuse!

68. Hw: its on the calendar online. # 1-10 all due: march 27 2012

69. 3/27/12 #1-6 all. No work, no grade. Take out a separate piece of paper. This is a quiz. Open notebook.

70. 6/6= 100 5/6=83 4/6=67 3/6=50 2/6=33 1/6= 16

71. 11.5 volumes of prisms and cylinders

74. Find the volume

78. Volume of a cylinder

79. Find the volume

81. Hw due March 28 2012

87. Warm up 3/28/12

88. Hw check and collection

89. Hand exams back

96. 11.6 volumes of cones and pyramids

100. To be turned in by the end of class

107. the hw is posted online at www.valverdemath.pbwiki.com www.valverdemath.pbwiki.com #1-23 all

108. Announcement: students who have not taken the quiz. You have until today to take it before you receive a zero

109. Warm up 3/29/12

110. 11.7 Surface Area and Volumes of Spheres

125. Your hw is posted online www.valverdemath.pbwiki.com #-1-23 all www.valverdemath.pbwiki.com

126. Warm up 3/30/12 find the volume of the figure

127. Warm up #2 Find the volume

128. Warm up # 3 Find the volume

129. Warm up #4 Find the variable

130. Warm up # 5 are you ready to start behaving?

133. 11.8 Congruent And Similar Solids

134. Similar Solids: Solid shapes with the same shape, different size The two pyramids are similar because the scale factors of each corresponding linear measurements are the same

135. Find the missing values

141. If the scale factor is 1:1, then the solids are _______________ Congruent Determine if the solids are similar, congruent, or neither Similar Not similar

142. What is that scale factor of these prisms? Does it matter which set we use? These are the a:b numbers which indicates the linear ratio of the sides Use SA= Ph + 2B for both figures

147. Using radicals video http://www.youtube.com/watch?v=zKE46Xej GZU http://www.youtube.com/watch?v=zKE46Xej GZU