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Chapter 8 Section 8 Surface Area of Prisms and Cylinders
Chapter 8 Section 8
Surface Area of Prisms and Cylinders
What is a net?A two-dimensional pattern that you can fold to make a three-dimensional figure.
Let’s Look
Using a Net
Definition: the sum of the areas of the faces of a shape.
Surface Area
Surface Area of a Triangular Prism
Surface Area of a Triangular Prism #2
6in
4in
9in
7in
Warm-UpFind the total surface area of this shape
3ft
4ft
5ft
48 ft2
3ft
6ft2
6ft2
15ft2
12ft2
9ft2
Formula for Area of Triangular Prism:
SA = wh + lw + lh + ls
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
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
Surface Area of a Rectangular Prism
Surface Area of a Rectangular Prism # 2
6in
5in
5in
Warm-UpFind the total surface area of this shape
5m5m
5m
Warm-UpFind the total surface area of this shape
5m5m
5m
25m2
25m2
25m2
25m2
25m2
25m2
150 m2
Warm-UpFind the total surface area of this shape
3ft 5ft
10ft
Warm-UpFind the total surface area of this shape
3ft 5ft
10ft190 ft2
50ft2
50ft2
15ft2
15ft2
30ft2
30ft2
Surface Area of a Rectangular Prism = 2(wh +
lh + lw)Find the surface area:
w = 3in l = 4inh = 6in
Surface Area of a Rectangular Prism = 2(wh +
lh + lw)
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 +
Surface Area of Cylinders
Surface Area of Cylinders
7in
8in
Warm-UpFind the total surface area of this shape
10in
244.92 in2 6in
Warm-UpFind the total surface area of this shape
10in
244.92 in2
28.26 in2
28.26 in2
6in
188.4 in2
Find the surface area of the cylinder:h = 12ind = 6in
Surface Area of a Cylinder:SA: 2 +
Find the surface area of the cylinder:h = 8cmd = 4cm
Surface Area of a Cylinder:SA: 2 +
Pg. 445 in bookNumbers 5, 7, 15
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