1. Friday, March 16 th 1.Solve for x 2. Find the Surface Area and volume

2. We are the Champions!!!

3. 3-D Shape Candy Toss

4. Question What are two 3-D shapes that have 6 FACES

5. Answer Cube Rectangular prism

6. Question Is a cylinder a polyhedron?

7. Answer NO

8. Question Is a triangular prism a polyhedron?

9. Answer YES

10. Question Is a Cone a polyhedron?

11. Answer NO

12. Question Is a pyramid a polyhedron?

13. Answer YES

14. Question How many faces ?

15. Answer 5

16. Question What is the top view of a square pyramid?

17. Answer

18. Question How many vertices?

19. Answer 4

21. FORMULA SHEET v=Bh Rectangular Prism: Triangular Prism:

22. Homework Answers

23. Goal for today Volume and Surface Area CYLINDERS

24. How would you describe: Net Of a Cylinder?

25. Circle Review

26. A line segment with one endpoint at the center of the circle and the other endpoint on the circle is a radius (plural: radii). It is half the diameter Center Radius

27. A diameter is a line segment that passes through the center of the circle and has both endpoints on the circle. The length of the diameter is twice the length of the radius. Center Radius Diameter

28. The distance around a circle is called the circumference. Center Radius Diameter Circumference

29. The formula for the circumference of a circle is C = d, or C = 2r.

30. tttttttttttt

31. Part 1: Surface Area 1. Using a Net 2. Using a Formula

32. Nets for Cylinder Cylinders- the net for a cylinder is made of two congruent circles, and one rectangle. The circumference of the circle is the length of the rectangle

33. Area of Circle: πr ² 3 x 5² 3 x 25 75 2 circles: 75 x 2 = 150 Area of Rectangle: L x W Length= circumference Length= 2πr Length= 2 x 3 x 5 Length = 6 x 5 Length = 30 Area =30 x 10 Area = 300 2 Areas=600 600 + 150=750

35. WE’LL GIVE YOU THE FORMULAS FOR ALL THREE SHAPES!!!!

36. Answer: 84

37. Answer: 29.8

38. SURFACE AREA WITH FORMULAS

40. SA= 2 πr ² + 2πrh SA=__________+__________+__________ SA=_________

41. SA= 2 πr ² + 2πrh SA=__________+__________+__________ SA=_________

42. SA= 2 πr ² + 2πrh SA=__________+__________+__________ SA=_________

43. SA= 2 πr ² + 2πrh SA=__________+__________+__________ SA=_________

44. Part 2: Volume

45. To find the volume of a cylinder, you can use the same method as you did for prisms: Multiply the area of the base by the height. volume of a cylinder = area of base  height The area of the circular base is r 2, so the formula is V = Bh = r 2 h.

46. Write the formula. Replace  with 3, r with 4, and h with 7. Multiply. V 336 V = r 2 h V  3  42  7V  3  42  7 The volume is about 336 ft 3.

47. 10 cm ÷ 2 = 5 cmFind the radius.Write the formula. Replace  with 3, r with 5, and h with 11. Multiply. V  825 V = r 2 h V  3  5 2  11 The volume is about 825 cm 3.

48. Multiply. V  540 The volume is about 540 ft 3. 6 ft 5 ft Write the formula. Replace  with 3, r with 6, and h with 5. V = r 2 h V  3  62  5V  3  62  5

49. Multiply. V  288 8 cm ÷ 2 = 4 cm The volume is about 288 cm 3. Find the radius. 8 cm 6 cm Write the formula. Replace  with 3, r with 4, and h with 16. V = r 2 h V  3  42  6V  3  42  6

50. 3-2-1 Summary 3 things you learned 2 things you still need practice on 1 Which way do you like finding surface area: net or formula