1. Chapter 4 Measuring Prisms and Cylinders

2. 4.1 Exploring Nets 4.2 Creating Objects from Nets

3. You and your partner will receive one 3D shape. 1)Name each face of the object 2)Trace each face 3)Connect the faces that you drew 4)Can you cut your drawing out and fold to make that same 3d shape you were given? INVESTIGATE

4. Net Polyhedron What goes where?!?!?!? Net Polyhedron

6. edge vertex two faces meet _____ three or more edges meet at a ________ vertex

7. Name that shape

8. What shape would this create? Example 1. What shape will this net make?

9. Example 2. What shape will this net make?

10. Example 3. What shape will this net make?

11. Example 4. What shape will this net make?

12. icosahedron Example 5. What shape will this net make?

13. Example 6. What does it mean by “right”?

14. Draw the following net of this rectangular prism! Example 7.

15. Predict what shape this will make? **We name our shapes depending on our base shape Example 8.

16. Example 9.

17. Example 10.

18. Practice Pages 174 - 176 4a* 6* 8* 9 10 11 Pages 180 - 182 #5a* 7 9 10*

19. Section 4.3 Surface Area of A Right Rectangular Prism

20. Review 1.

21. With the person next to you, create a Rectangular prism from 10 or less blocks. 1. Determine the surface area in as many different ways as you can think of. RECORD each way. 2. Can you come up with a definition of surface area? What is area?... What about surface area? INVESTIGATE

22. How do we find area of square OR rectangle?

23. Let us create a box Surface Area: Is the addition of ALL AREAS of the panels on our box!

24. Calculate the total surface area! Reminder! Tip of the day: BE ORGANIZED!!! Example 1.

25. Calculate the total surface area! *Look for similar faces Example 2.

26. Example 3. Calculate the total surface area!

27. Example 4. Find the surface area of this cube 3cm **Use what we know about cubes to make your life easier

28. Practice Pages 186-187 4* 5* 6b*c* 7b 9 11 13

29. Section 4.4 Surface Area of a Right Triangular Prism

30. With your partner… 1)Determine the area of the rectangle shown 2)Using the full sides of the rectangle, create a triangle. 3)What would the area of this triangle be? 4)Create your own formula for finding the are of a triangle What is half the area? INVESTIGATE

31. Area of a triangle = Area of rectangles = **Pay close attention to which height we are using

32. Example 1. Calculate the total surface area 5 Reminder**Be Organized!

33. Example 2. Find the surface area *What shapes are included?

34. Example 3.

35. Example 4. Calculate the surface area Ms. A needs to build a wedge for his door so that he can keep it shut so students can't get out

36. Practice Pages 191 - 193 4* 7a(i)* 9a*c 13

37. 4.7 Surface Area of a Right Cylinder

38. What does the net of a cylinder look like?

39. With your partner…. 1)You will receive the shapes that you need to make a cylinder 2)Cut these shapes out and make a cylinder 3)Using what you already know about circles and area, see if you can find the surface area of your shape. INVESTIGATE Hint***What is the distance around the circle? How could this help us

40. Area? Radius How would we find surface area? Radius Area?

41. 2πr πdπd How does this relate to length of the curved surface?

42. The distance all the way around the circle is called the circumference...this is the same as the width of our curved lateral surface! Those lines are the same distance!

43. Circumference = radius We use this to find the area of our curved lateral surface.... hA = l x w

44. Example 1. With your partner, calculate the surface area

45. Example 2. Calculate Surface Area

46. Example 3. We are wrapping presents and we want to use the least amount of wrapping paper possible. Should we choose... a) Box with dimensions of 8cm by 3cm by 7cm b) Cylinder Tube with a radius of 3cm and a height of 6 cm

47. Practice Pages 212-14: 4a,6b,8b,9,13,16

48. QUIZ REVIEW!!! 4.1 - 4.4 & 4.7 NETS AND SURFACE AREA

49. Draw and label the net of this triangular prism

50. Name these 4 nets.... Speed Round!!!

51. What are the area of these shapes? 3 cm 6 cm 4 cm 5 cm

52. Calculate the total surface area of the 3-D Object

53. We want to design a bike ramp that has the following dimensions. How much area of wood do we need to do so? The ramp does not need a base.

54. Find the surface area of the cylinder

55. We must repaint an entire swimming pool. The pool is 4m long, 2m wide, and 3m deep. How much area do we have to cover?!? **Hint: Is there a top?

56. What is the Surface Area of this triangular prism?

57. What is the area of this circle? Speed Round!

58. We are making aluminum flower pots shaped like cylinders. There is a bottom on each pot, but no top. If the pots are 9 inches in height and have a diameter of 12 inches, how many square inches of aluminum are needed for each pot?

59. Now we want to paint this flower pot. However, we don't need to paint the bottom...How much surface area do we have to cover? What is this part of the cylinder called? Speed Round!

60. Find the Surface Area of this net....

62. 4.5 & 4.6 Volume of Rectangular Prisms and Triangular Prisms

63. What is the difference between Surface Area and Volume???

64. Create the following rectangular prism with linking cubes. 1)2 x 4 x 3 2)How do we find the volume of this object? 3)Is there more than one way to do this? INVESTIGATE

65. Finding the volume of a rectangular prism - How much can we fill this up?

66. Start to fill the prism up!

67. So what is the volume?!? We have 4 layers of (3x6) Volume = l x w x h

68. Does this have the same volume? General Formula for 3D Shapes V = (area of base)x(height)

69. Example 1. We are filling paper boxes with toys and supplies for children that are homeless. A paper box measures 4.5 cm x 5.0 cm x 3.0 cm. What is the volume of the box?

70. What about this triangular prism? Reminder** General Formula V = (area of base)x(height)

71. Volume of a Triangular Prism V = area of base shape x height V = bh x h 2 Don’t get confused! This is the height of the entire prism (NOT the triangle)

72. Example 2. You're going camping and you want to know how much room you have in your tent. What is the volume of a tent with these dimensions?

73. Example 3. Find the Volume..... Hint* They did half of the work for you!

74. Example 4. Challenge Question Can you and your partner find the volume of this milk carton?

75. Homework Questions Practice Pages 198 - 199 4a* 7b* 11ab 14ab Pages 205 - 207 3b* 5a* 7* 8 13b

76. 4.8 Volume of a Right Cylinder

77. What is the volume? Review!

78. Rectangular Prism V = base area x height V = l x w x h Triangular Prism V = base area x height V = bh x l 2

79. Using our general formula for volume, how do you think we find the volume of a cylinder?

80. Volume of a Cylinder V = area of base x height V = x h

81. Example 1. A hockey puck is a solid piece of rubber with the dimensions shown. How much rubber is used to make a hockey puck?

82. Which of these cylinders will hold more?Or are they the same? Calculate the volume to find out

83. The radius has a greater effect! r2

84. Hint* Pay close attention to our measurements Example 2.

85. What is the volume of this greenhouse? Example 3. Challenge Question!

86. Practice Page 218-219 4a* 6* 9 10 13* 15 17ac

87. Quiz Review!!!!! 4.5, 4.6, & 4.8 Volume!!

88. 1. Read the Question 2. Discuss and solve quietly with your group 3. Reveal your answers 4. Get points

89. Find the volume of this rectangular prism. 2 points

90. Calculate the volume 5 points

91. 6 points Find the volume

92. How much does this fish tank hold? 2 points

93. What is the volume of this 3-D object? 5 points

94. Volume? 7 points

95. Find the volume! 8 points

96. 4 points The area of the base of a right triangular prism is 14.5 cm ² and the length of the prism is 6 cm. Calculate the volume of the prism.

97. What is the Volume? 4 Points

98. Tally up your points!! Good Luck :)

99. Chapter 4 Review! Nets, Surface Area & Volume

100. Which of the following are nets? What 3-D objects will those nets make?

101. This is an incomplete net for a triangular prism. What shapes must you add to complete this net? Speed Round

102. What shape will this net make?

103. What is the surface area of this net?

104. What is the Surface Area of this box? What about the volume?

105. Find the Surface Area

106. What is the surface area of this closed cylinder?

107. The Surface Area of a cube is 216 cm ². How long is one of the edges of the cube?

108. Speed Round! How do you spell our principal’s name?

109. What is the surface area of the house? (It’s a house, so we don’t need the bottom!)

110. Which can of cat food is the better deal?!

111. What is the volume of a triangular prism with the following dimensions?

112. A paper cup has the shape of a perfect cylinder that is 6.9 cm tall and 3 cm across. What is the surface area of the cup?

113. What is the volume?! What is the name of this prism!?

114. What is the volume?!

115. Unit Review Pages 222 - 225 Pr actice Test Pages 226 - 227