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Chapter 8 Section 8 Surface Area of Prisms and Cylinders

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Page 1: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Chapter 8 Section 8

Surface Area of Prisms and Cylinders

Page 2: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

What is a net?A two-dimensional pattern that you can fold to make a three-dimensional figure.

Let’s Look

Using a Net

http://www.learner.org/interactives/geometry/3d_prisms.html
Page 3: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Definition: the sum of the areas of the faces of a shape.

Surface Area

Page 4: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Surface Area of a Triangular Prism

http://1.bp.blogspot.com/_VtC2aVcDkyI/S4iP4D-uTDI/AAAAAAAAAGI/ESf45VOBcaY/s1600-h/Triangular+Prism2.png
http://2.bp.blogspot.com/_VtC2aVcDkyI/S4iP4dPuitI/AAAAAAAAAGQ/9CEqrUYVQXA/s1600-h/Triangular+Prism+Net2.png
Page 5: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Surface Area of a Triangular Prism #2

6in

4in

9in

7in

http://4.bp.blogspot.com/_VtC2aVcDkyI/S4iP3nNj4mI/AAAAAAAAAF4/zrzqVdfXErs/s1600-h/Triangular+Prism.png
http://2.bp.blogspot.com/_VtC2aVcDkyI/S4iP3xAIZJI/AAAAAAAAAGA/wU1saI_oa0s/s1600-h/Triangular+Prism+Net.png
Page 6: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Warm-UpFind the total surface area of this shape

3ft

4ft

5ft

48 ft2

3ft

6ft2

6ft2

15ft2

12ft2

9ft2

Page 7: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Formula for Area of Triangular Prism:

SA = wh + lw + lh + ls

Page 8: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Formula for Surface Area of Triangular Prism:

SA = wh + lw + lh + ls

Find the surface area of a triangular prism with the following dimensions:w = 10cml = 6cmh = 8cms = 5cm

Page 9: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Formula for Surface Area of Triangular Prism:

SA = wh + lw + lh + lsFind the surface area of a triangular prism with the following dimensions:w = 3in l = 4inh = 6ins = 2in

Page 10: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Surface Area of a Rectangular Prism

http://2.bp.blogspot.com/_VtC2aVcDkyI/S4iHpubh1cI/AAAAAAAAAFg/CwlH2J9EBa0/s1600-h/rectangular+prism2.png
http://4.bp.blogspot.com/_VtC2aVcDkyI/S4iHp6uWiYI/AAAAAAAAAFo/6zFaGFmjhyI/s1600-h/rectangular+prism+net2.png
Page 11: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Surface Area of a Rectangular Prism # 2

6in

5in

5in

http://1.bp.blogspot.com/_VtC2aVcDkyI/S4iFZ3Z3psI/AAAAAAAAAFQ/eH_u9gNC4DI/s1600-h/rectangular+prism.png
http://1.bp.blogspot.com/_VtC2aVcDkyI/S4iGnD4acpI/AAAAAAAAAFY/HHcqlu_KaT0/s1600-h/rectangular+prism+net.png
Page 12: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Warm-UpFind the total surface area of this shape

5m5m

5m

Page 13: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Warm-UpFind the total surface area of this shape

5m5m

5m

25m2

25m2

25m2

25m2

25m2

25m2

150 m2

Page 14: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Warm-UpFind the total surface area of this shape

3ft 5ft

10ft

Page 15: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Warm-UpFind the total surface area of this shape

3ft 5ft

10ft190 ft2

50ft2

50ft2

15ft2

15ft2

30ft2

30ft2

Page 16: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Surface Area of a Rectangular Prism = 2(wh +

lh + lw)

Find the surface area:

w = 3in l = 4inh = 6in

Page 17: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Surface Area of a Rectangular Prism = 2(wh +

lh + lw)

Page 18: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

In other words:Area of the circle (there are two

circles).Area of rectange length × width

(height) × (cirumference)

Surface Area of a Cylinder:SA: 2 +

http://3.bp.blogspot.com/_VtC2aVcDkyI/S5QSAS03API/AAAAAAAAAGo/GdrqIMLUUc4/s1600-h/Cylinder.png
Page 19: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Surface Area of Cylinders

http://2.bp.blogspot.com/_VtC2aVcDkyI/S5QR_LHHKaI/AAAAAAAAAGY/GbyTChLDR-o/s1600-h/C+ylindrical+Net2.png
Page 20: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Surface Area of Cylinders

7in

8in

http://3.bp.blogspot.com/_VtC2aVcDkyI/S5QSAS03API/AAAAAAAAAGo/GdrqIMLUUc4/s1600-h/Cylinder.png
Page 21: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Warm-UpFind the total surface area of this shape

10in

244.92 in2 6in

Page 22: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Warm-UpFind the total surface area of this shape

10in

244.92 in2

28.26 in2

28.26 in2

6in

188.4 in2

Page 23: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Find the surface area of the cylinder:h = 12ind = 6in

Surface Area of a Cylinder:SA: 2 +

Page 24: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Find the surface area of the cylinder:h = 8cmd = 4cm

Surface Area of a Cylinder:SA: 2 +

Page 25: Chapter 8 Section 8. What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Pg. 445 in bookNumbers 5, 7, 15

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