Transcript Surface Area of Prisms and Cylinders

COURSE 2 LESSON 8-8
Surface Area of Prisms and Cylinders
Find the surface area of the prism.
First draw a net for the prism.
Then find the total area of the five faces.
top
bottom
left side
front side
10(26) + 10(24) + 10(10) + 1 (10)(24) +
2
back side
1 (10)(24) = 840
2
The surface area of the triangular prism is 840 cm2.
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COURSE 2 LESSON 8-8
Surface Area of Prisms and Cylinders
Find the surface area of the
cylinder. Round to the nearest tenth.
Step 1
Draw a net.
Step 2
Find the area of one circle.
A =
r2
=
(3)2
=
(9)
28.27 cm2
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COURSE 2 LESSON 8-8
Surface Area of Prisms and Cylinders
(continued)
Step 3 Find the area of the rectangle.
(2
r)h = 2
(3)(2) = 12
37.70 cm2
Step 4 Add the areas of the two circles and the rectangle.
Surface area = 28.27 + 28.27 + 37.70 = 94.2
The surface area of the cylinder is about 94.2 cm2.
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COURSE 2 LESSON 8-8
Surface Area of Prisms and Cylinders
1. Draw a net for a triangular prism.
Sample:
Find the surface area of each. Round to the nearest tenth.
2. rectangular prism: 12 cm by 8 cm by 9 cm
552 cm2
3. cylinder: radius 6 cm, height 10 cm
603.2 cm2
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