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5 Minute Check Find the SA. Complete on homework. 1.2. 3.4.

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Presentation on theme: "5 Minute Check Find the SA. Complete on homework. 1.2. 3.4."— Presentation transcript:

1 5 Minute Check Find the SA. Complete on homework. 1.2. 3.4.

2 5 Minute Check Find the SA. Complete on homework. 1. SA = 2B + hp B =

3 5 Minute Check Find the SA. Complete on homework. 1. SA = 2B + hp B = 30, p =

4 5 Minute Check Find the SA. Complete on homework. 1. SA = 2B + hp B = 30, p = 30, h =

5 5 Minute Check Find the SA. Complete on homework. 1. SA = 2B + hp B = 30, p = 30, h = 16

6 5 Minute Check Find the SA. Complete on homework. 1. SA = 2B + hp B = 30, p = 30, h = 16 SA = 2 · 30 +16 ·30 SA = 60 + 480 SA = 540 ft²

7 5 Minute Check Find the SA. Complete on homework. 2.

8 5 Minute Check Find the SA. Complete on homework. 2. SA = 2B + hp B =

9 5 Minute Check Find the SA. Complete on homework. 2. SA = 2B + hp B = 43.5, p =

10 5 Minute Check Find the SA. Complete on homework. 2. SA = 2B + hp B = 43.5, p = 30, h =

11 5 Minute Check Find the SA. Complete on homework. 2. SA = 2B + hp B = 43.5, p = 30, h = 15

12 5 Minute Check Find the SA. Complete on homework. 2. SA = 2B + hp B = 43.5, p = 30, h = 15 SA = 2 · 43.5+15 ·30 SA = 87 + 450 SA = 537 ft²

13 5 Minute Check Find the SA. Complete on homework. 3.

14 5 Minute Check Find the SA. Complete on homework. 3. SA = 2B + hp B =

15 5 Minute Check Find the SA. Complete on homework. 3. SA = 2B + hp B = 3.9, p =

16 5 Minute Check Find the SA. Complete on homework. 3. SA = 2B + hp B = 3.9, p = 9, h =

17 5 Minute Check Find the SA. Complete on homework. 3. SA = 2B + hp B = 3.9, p = 9, h = 7

18 5 Minute Check Find the SA. Complete on homework. 3. SA = 2B + hp B = 3.9, p = 9, h = 7 SA = 2 · 3.9+9 ·7 SA = 7.8 + 63 SA = 70.8 in²

19 5 Minute Check Find the SA. Complete on homework. 4.

20 5 Minute Check Find the SA. Complete on homework. 4. SA = 2B + hp B =

21 5 Minute Check Find the SA. Complete on homework. 4. SA = 2B + hp B =15.9, p=

22 5 Minute Check Find the SA. Complete on homework. 4. SA = 2B + hp B =15.9, p=19.3, h=

23 5 Minute Check Find the SA. Complete on homework. 4. SA = 2B + hp B =15.9, p=19.3, h=13

24 5 Minute Check Find the SA. Complete on homework. 4. SA = 2B + hp B =15.9, p=19.3, h=13 SA = 2 ·15.9+19.3 ·13 SA = 31.8 + 250.9 SA = 282.7cm²

25 Tuesday, March 17 Chapter 6.10.5 Surface Areas of Pyramids

26 Objective: To find the surface area of pyramids.

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

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

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

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

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

32 Surface Areas of Pyramids There are two methods to find the surface area of a regular pyramid. 1. Formula 2. Net

33 Surface Areas of Pyramids slant height

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

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

36 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.

37 Surface Areas of Pyramids

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46 Find the SA of regular pyramid. You can also construct a net to to find the SA of a pyramid.

47 Surface Areas of Pyramids Find the SA of regular pyramid. To find the surface area by using a net the area of each section is added together, like a composite shape.

48 Surface Areas of Pyramids Find the SA of regular pyramid. ?

49 Surface Areas of Pyramids Find the SA of regular pyramid. Base=7 · 7 = 49 49 ?

50 Surface Areas of Pyramids Find the SA of regular pyramid. Base=7 · 7 = 49 Side=7 · 9 ÷ 2 = 31.5 49 31.5

51 Surface Areas of Pyramids Find the SA of regular pyramid. Base=7 · 7 = 49 Side=7 · 9 ÷ 2 = 31.5 SA = 49+31.5+31.5+31.5+31.5 = 175cm² 49 31.5

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

53 Surface Areas of Pyramids

54 Find the SA of regular pyramid. Base=3 · 3=9 Side=4.5 · 3 ÷ 2 = 6.75 SA=9 + 6.75+6.75+6.75+6.75 = 36in² 3 in 4.5 in

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

56 Surface Areas of Pyramids

57 Find the SA of regular pyramid. Base=3.5 · 4 ÷ 2 = 7 Side=4 · 5 ÷ 2 = 10 SA = 7+10+10+10=37 ft² 3.5 ft 4 ft 5 ft 4 ft

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

59 Surface Areas of Pyramids

60 Find the SA of regular pyramid. Base=5 · 5 = 25 Side=5 · 8.2 ÷ 2 = 20.5 SA = 25 + 20.5+20.5 +20.5+20.5= 107 ft² 5 ft 8.2 ft

61 Surface Areas of Pyramids Agenda Notes Homework– Homework Practice 6.10.5 Due Wednesday, March 18 Chapter 6.9/6.10 Test – Thursday, March 19 Accum Review 11– Due Thursday, Mar 19 Blizzard Bag 1 – Due Friday, Mar 20


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