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Old 01-28-2013   #1
Mr. Epic_ Face_21
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The base of the prism shown below is a regular hexagon with side lengths of 8 centimeters. The area of one of its bases is about 166 square centimeters. What is the surface area of this hexagonal prism?
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Old 01-29-2013   #2
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Originally Posted by Mr. Epic_ Face_21 View Post
The base of the prism shown below is a regular hexagon with side lengths of 8 centimeters. The area of one of its bases is about 166 square centimeters. What is the surface area of this hexagonal prism?
If the area of each hexagonal base is about 166 sq cm then the area for the bases is about 2 x 166 = 332 sq cm.

Each lateral face of the prism is a rectangle with dimensions of 8 x 30 = 240 sq cm. Since there are 6 lateral faces their area is 6 x 240 = 1440 sq cm.

The total surface area is about 332 + 1440 = 1772 sq cm.
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