2. Welcome to Interactive Chalkboard Mathematics: Applications and Concepts, Course 2 Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240

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4. Contents Lesson 12-1Drawing Three-Dimensional Figures Lesson 12-2Volume of Rectangular Prisms Lesson 12-3Volume of Cylinders Lesson 12-4Surface Area of Rectangular Prisms Lesson 12-5Surface Area of Cylinders Lesson 12-6Precision and Measurement

5. Lesson 1 Contents Example 1Draw Different Views of a Solid Example 2Draw a Three-Dimensional Figure

6. Example 1-1a Draw a top, a side, and a front view of the figure below. The top and front views are rectangles. The side view is a square. Answer:

7. Example 1-1b Draw a top, a side, and a front view of the figure below. Answer:

8. Example 1-2a Draw the solid using the top, side, and front views shown below. Use isometric dot paper. Step 1 Use the top view to draw the base of the figure. Step 2 Add edges to make the base a solid figure. Step 3Use the side and front views to complete the figure.

9. Example 1-2a Answer:

10. Example 1-2b Draw a solid using the top, side, and front views shown below. Use isometric dot paper. Answer:

11. End of Lesson 1

12. Lesson 2 Contents Example 1Find the Volumes of Prisms Example 2Find the Volumes of Prisms

13. Example 2-1a Volume of a rectangular prism Multiply. Answer: The volume is 24 cubic centimeters. Find the volume of the rectangular prism.

14. Example 2-1b Find the volume of the rectangular prism. Answer:

15. Example 2-2a GAMES Find the volume of the game box. Volume of a rectangular prism Answer: The volume of the game box is 289 cubic inches. Multiply.

16. Example 2-2b CRACKERS Find the volume of the cracker box. Answer:

17. End of Lesson 2

18. Lesson 3 Contents Example 1Find the Volume of a Cylinder Example 2Find the Volume of a Real-Life Object

19. Example 3-1a Volume of a cylinder Find the volume of the cylinder. Round to the nearest tenth. ENTER 5.5 9 855.2985999 Answer: The volume is about 855.3 cubic centimeters.

20. Example 3-1b Find the volume of the cylinder. Round to the nearest tenth. Answer:

21. Example 3-2a MULTIPLE-CHOICE TEST ITEM Find the volume of a cylinder-shaped coffee can that has a diameter of 3 inches and a height of 6 inches. A B C D Read the Test Item To find the volume, use the formula

22. Example 3-2a Answer: B Solve the Test Item Volume of a cylinder Simplify.

23. Example 3-2b MULTIPLE-CHOICE TEST ITEM Find the volume of a cylinder-shaped juice can that has a diameter of 5 inches and a height of 8 inches. A B C D Answer: C

24. End of Lesson 3

25. Lesson 4 Contents Example 1Use a Net to Find Surface Area Example 2Use a Formula to Find Surface Area Example 3Use Surface Area to Solve a Problem

26. Example 4-1a Find the surface area of the rectangular prism. You can use a net of the rectangular prism to find its surface area. There are three pairs of congruent faces. front and back two sides top and bottom

27. Example 4-1a Answer: The surface area is 72 square centimeters. two sides front and back FacesArea top and bottom Sum of the areas

28. Example 4-1b Find the surface area of the rectangular prism. Answer:

29. Example 4-2a Find the surface area of the rectangular prism. Multiply first. Then add.

30. Example 4-2a Answer: The surface area of the prism is 592 square inches.

31. Example 4-2b Find the surface area of the rectangular prism. Answer:

32. Example 4-3a Step 1 Find the surface area of the box. BOXES Drew is putting together a cardboard box that is 9 inches long, 6 inches wide, and 8 inches high. He bought a roll of wrapping paper that is 1 foot wide and 3 feet long. Did he buy enough to wrap the box? Explain. Step 2 Find the area of the wrapping paper. Answer: Since 432 > 348, Drew bought enough wrapping paper. area 1 ft 3 ft

33. Example 4-3b FABRIC Angela needs to cover a cardboard box that is 15 inches long, 5 inches wide, and 4 inches high with felt. She bought a piece of felt that is 1 foot wide and feet long. Did she buy enough felt to cover the box? Explain. Answer: Yes; the surface area of the box is and the area of the felt is Since Angela bought enough felt.

34. End of Lesson 4

35. Lesson 5 Contents Example 1Find the Surface Area of a Cylinder Example 2Use Surface Area to Solve a Problem

36. Example 5-1a Find the surface area of the cylinder. Round to the nearest tenth. Surface area of a cylinder Simplify. Replace r with 3 and h with 6. Answer: The surface area is about 169.6 square centimeters.

37. Example 5-1b Find the surface area of the cylinder. Round to the nearest tenth. Answer:

38. Example 5-2a GIFT WRAP A poster is contained in a cardboard cylinder that is 10 inches high. The cylinder’s base has a diameter of 8 inches. How much paper is needed to wrap the cardboard cylinder if the ends are to be left uncovered? Since only the curved side of the cylinder is to be covered, you do not need to include the areas of the top and bottom of the cylinder. Replace r with 4 and h with 10. Simplify. Curved surface of a cylinder Answer: About 251.3 square inches of paper is needed.

39. Example 5-2b LABELS A can of fruit juice is in the shape of a cylinder with a diameter of 6 inches and a height of 12 inches. How much paper is needed to create the label if the ends are to be left uncovered? Answer:

40. End of Lesson 5

41. Lesson 6 Contents Example 1Identify Precision Units Example 2Identify Precision Units Example 3Apply Significant Digits

42. Example 6-1a Identify the precision unit of the measuring tool. The smallest unit is one second. Answer: So, the precision unit is 1 second.

43. Example 6-1b Identify the precision unit of the measuring tool. Answer: 0.5 inch

44. Example 6-2a The smallest unit is two degrees. Answer: So, the precision unit is 2°F. Identify the precision unit of the measuring tool.

45. Example 6-2b Identify the precision unit of the measuring tool. Answer: pound

46. Example 6-3a The precision unit is 0.1 centimeter. You know for certain that the length of the piece of chalk is between 7.5 and 7.6 centimeters. Answer: One estimate is 7.55 centimeters. State the measure of the piece of chalk using significant digits.

47. Example 6-3b State the measure of the pencil using significant digits. Sample Answer: 4.65 cm

48. End of Lesson 6

49. Online Explore online information about the information introduced in this chapter. Click on the Connect button to launch your browser and go to the Mathematics: Applications and Concepts, Course 2 Web site. At this site, you will find extra examples for each lesson in the Student Edition of your textbook. When you finish exploring, exit the browser program to return to this presentation. If you experience difficulty connecting to the Web site, manually launch your Web browser and go to www.msmath2.net/extra_examples.

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62. Help To navigate within this Interactive Chalkboard product: Click the Forward button to go to the next slide. Click the Previous button to return to the previous slide. Click the Section Back button to return to the beginning of the lesson you are working on. If you accessed a feature, this button will return you to the slide from where you accessed the feature. Click the Main Menu button to return to the presentation main menu. Click the Help button to access this screen. Click the Exit button or press the Escape key [Esc] to end the current slide show. Click the Extra Examples button to access additional examples on the Internet. Click the 5-Minute Check button to access the specific 5-Minute Check transparency that corresponds to each lesson.

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