1. Find the SA. Complete in your notes. 1. 2. 3. 4.
5 Minute Check
Find the SA. Complete in your notes

2. Find the SA. Complete in your notes. 1.
5 Minute Check
Find the SA. Complete in your notes. 1.

3. Find the SA. Complete in your notes. 1.
5 Minute Check
Find the SA. Complete in your notes. 1.
SA= =540units²

4. Find the SA. Complete in your notes. 1.
5 Minute Check
Find the SA. Complete in your notes. 1.
F = 12∙5 ÷2=30
p = = 30
h = 16
SA = 2F + ph
SA =2∙30+30∙16
SA =
SA = ft²

5. Find the SA. Complete in your notes. 2.
5 Minute Check
Find the SA. Complete in your notes. 2.

6. Find the SA. Complete in your notes. 2.
5 Minute Check
Find the SA. Complete in your notes. 2. 10 10
43.5
150
150
150 15
43.5
8.7
SA= =537ft²

7. Find the SA. Complete in your notes. 2.
5 Minute Check
Find the SA. Complete in your notes. 2.
F = 8.7∙ 10 ÷2=43.5
p = = 30
h = 15
SA = 2F + ph
SA =2∙ ∙15
SA =
SA = ft²

8. Find the SA. Complete in your notes. 3.
5 Minute Check
Find the SA. Complete in your notes. 3.

9. Find the SA. Complete in your notes. 3.
5 Minute Check
Find the SA. Complete in your notes. 3. 3
3.9 21 21 21 7 3
3.9
2.6
SA= =70.8in²

10. Find the SA. Complete in your notes. 3.
5 Minute Check
Find the SA. Complete in your notes. 3.
F = 3∙ 2.6 ÷2=3.9
p = 3+3+3= 9
h = 7
SA = 2F + ph
SA =2∙3.9+9∙7
SA =
SA = in²

11. Find the SA. Complete in your notes. 4.
5 Minute Check
Find the SA. Complete in your notes. 4.

12. Find the SA. Complete in your notes. 4.
5 Minute Check
Find the SA. Complete in your notes. 4. 8
5.3
15.9 6
68.9 78
104 13
15.9
SA= =282.7cm²

13. Find the SA. Complete in your notes. 4.
5 Minute Check
Find the SA. Complete in your notes. 4.
F = 5.3∙ 6 ÷2=15.9
p = = 19.3
h = 13
SA = 2F + ph
SA =2∙ ∙13
SA =
SA = cm²

14. Chapter 9 Review
Find the area. Complete in your notes.

15. Chapter 9 Review
Find the area. Complete in your notes. 1.

16. 1. Area=15+8+12+25+5=65ft² Chapter 9 Review
Find the area. Complete in your notes. 1. 12 15 5 25 5 5 3 5 1 8
Area= =65ft²

17. 1. Top Rectangle 6 · 7 = 42ft² Bottom Rectangle 6 · 8 = 48ft² Overlap
Chapter 9 Review
Find the area. Complete in your notes. 1.
Top Rectangle
6 · 7 = 42ft²
Bottom Rectangle
6 · 8 = 48ft²
Overlap
5 · 5 = 25ft²
Total Area
= 65ft² 5 5

18. Chapter 9 Review
Find the area. Complete in your notes. 2.

19. 2. Area=4+1+1+4+5=15m² Chapter 9 Review
Find the area. Complete in your notes. 2. 1 5 1 1 1 4 1 1 4
Area= =15m²

20. 2. Top Rectangle 5 · 2 = 10m² Bottom Rectangle 3 · 2 = 6m² Overlap
Chapter 9 Review
Find the area. Complete in your notes. 2.
Top Rectangle
5 · 2 = 10m²
Bottom Rectangle
3 · 2 = 6m²
Overlap
1 · 1 = 1m²
Total Area
=15m² 1 1

21. Lesson10.5 Surface Areas of Pyramids
Wednesday, April 6
Lesson10.5 Surface Areas of Pyramids

22. Surface Areas of Pyramids
Objective: To find the surface area of pyramids.

23. Surface Areas of Pyramids
The surface area (SA) of a three dimensional figure is the outer face or exterior boundary of the figure.

24. Surface Areas of Pyramids
A pyramid is a three-dimensional figure with faces that meet at a common vertex.
vertex

25. Surface Areas of Pyramids
The shape of the base determines the name of the pyramid.

26. Surface Areas of Pyramids
A pyramid has at least three triangular sides, called lateral faces.

27. Surface Areas of Pyramids
The slant height is the distance from the vertex to the mid-point of a side of the base.

28. Surface Areas of Pyramids
As with prisms, the shape of the base determines the name of the pyramid.

29. Surface Areas of Pyramids
There are many types of pyramids. We will only be concerned with regular triangular pyramids and square pyramids.

30. Surface Areas of Pyramids
All pyramids that we will be working with will be regular pyramids, meaning the bases will either be a square or equilateral triangle.

31. Surface Areas of Pyramids
Find the SA of regular pyramid. To Find the SA of a Pyramid. Step 1 – Draw the shape of the base.
Draw this in your notes.

32. Surface Areas of Pyramids
Find the SA of regular pyramid. To Find the SA of a Pyramid. Step 1 – Draw the shape of the base.

33. Surface Areas of Pyramids
Find the SA of regular pyramid. To Find the SA of a Pyramid. Step 2 – Include the dimensions of the base.

34. Surface Areas of Pyramids
Find the SA of regular pyramid. To Find the SA of a Pyramid. Step 2 – Include the dimensions of the base. 7 7

35. Surface Areas of Pyramids
Find the SA of regular pyramid. To Find the SA of a Pyramid. Step 3 – Draw the lateral faces. 7 7

36. Surface Areas of Pyramids
Find the SA of regular pyramid. To Find the SA of a Pyramid. Step 3 – Draw the lateral faces. 7 7

37. Surface Areas of Pyramids
Find the SA of regular pyramid. To Find the SA of a Pyramid. Step 4 – Include the dimensions of the faces. 7 7

38. Surface Areas of Pyramids
Find the SA of regular pyramid. To Find the SA of a Pyramid. Step 4 – Include the dimensions of the faces. 7 7

39. Surface Areas of Pyramids
Find the SA of regular pyramid. To Find the SA of a Pyramid. Step 5 – Find the area of each section and add. 7 7

40. Surface Areas of Pyramids
Find the SA of regular pyramid. To Find the SA of a Pyramid. Step 5 – Find the area of each section and add.
31.5
31.5 7
31.5 49 7
31.5
SA = = 175cm²

41. Surface Areas of Pyramids
Find the SA of regular pyramid. Do this on your own.

42. Surface Areas of Pyramids
Find the SA of regular pyramid. SA= = 36in²
6.75
3 in
4.5 in
6.75 9
6.75
3 in
6.75

43. Surface Areas of Pyramids
Find the SA of regular pyramid.

44. Surface Areas of Pyramids
Find the SA of regular pyramid. SA = =37 ft² 10 10
4 ft
5 ft
3.5 ft
4 ft 7
4 ft 10

45. Surface Areas of Pyramids
Find the SA of regular pyramid.

46. Surface Areas of Pyramids
Find the SA of regular pyramid. SA = = 107 ft²
20.5
5 ft
8.2 ft
20.5
5 ft 25
20.5
20.5

47. Surface Areas of Pyramids
Find the SA of regular pyramid. m m

48. Surface Areas of Pyramids
Find the SA of regular pyramid. SA = = m²
6 1 4
2 1 2
2 1 2 5
6 1 4
6 1 4
6 1 4
6 1 4

49. AIR Review
In a bag of marbles, 3/5 of the marbles are blue and the rest are red. If the number of red marbles is doubled and the number of blue marbles stays the same, what fraction of the marbles will be red?

50. AIR Review
In a bag of marbles, 3/5 of the marbles are blue and the rest are red. If the number of red marbles is doubled and the number of blue marbles stays the same, what fraction of the marbles will be red? 3/5 are blue 2/5 are red The ratio of blue to red is 3/2. If the red marbles are doubled, the ratio of blue to red would be 3/4. Now the ratio of red to total is 4/7.
total

51. AIR Review
Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, How far did she ride in 15 minutes? How long did it take her to ride 6 miles? How fast did she ride in miles per hour? What was her pace in minutes per mile?

52. AIR Review
Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, How far did she ride in 15 minutes? 20 𝑚𝑖 150 𝑚𝑖𝑛 = ? 15 𝑚𝑖𝑛 20 · 15 ÷ 150 = 2 miles How long did it take her to ride 6 miles? How fast did she ride in miles per hour? What was her pace in minutes per mile?

53. AIR Review
Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, How far did she ride in 15 minutes? How long did it take her to ride 6 miles? 20 𝑚𝑖 150 𝑚𝑖𝑛 = 6 𝑚𝑖 ? 150 · 6 ÷ 20 = 45 min How fast did she ride in miles per hour? What was her pace in minutes per mile?

54. AIR Review
Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, How far did she ride in 15 minutes? How long did it take her to ride 6 miles? How fast did she ride in miles per hour? 20 𝑚𝑖 150 𝑚𝑖𝑛 = ? 60 𝑚𝑖𝑛 20 · 60 ÷ 150 = 8 miles per hour What was her pace in minutes per mile?

55. AIR Review
Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, How far did she ride in 15 minutes? How long did it take her to ride 6 miles? How fast did she ride in miles per hour? What was her pace in minutes per mile? 150 𝑚𝑖𝑛 20 𝑚𝑖 = ? 1 𝑚𝑖 150 · 1 ÷ 20 = 7.5 min per mile

56. Surface Areas of Pyramids
Agenda Notes No Homework– Homework Practice 10.5 Due by the end of class Chapter 9/10 Test – Monday, April 11 Accum Review 10– Due Monday, April 11