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What is the surface area of the triangular prism shown?

32 square centimeters
120 square centimeters
184 square centimeters
1,560 square centimeters

What is the surface area of the triangular prism shown? 32 square centimeters 120 square-example-1
User Schematic
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2 Answers

5 votes
The surface area is 184 square centimeters

User Fante
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1 vote

The surface area of the prism is the sum of surface areas of 3 rectangles and 2 triangles.

The surface area of rectangles are


10*5=50\;cm^2,10*5=50\;cm^2,10*6=60\;cm^2.

The sum is


50\;cm^2+50\;cm^2+60\;cm^2 =160\;cm^2.

The are of each triangle is
(1)/(2) 6*4\;cm^2.

The sum of areas of 2 triangles is
2*(1)/(2) 6*4\;cm^2 =24\;cm^2.

The surface area of the prism is


160\;cm^2+24\;cm^2=184\;cm^2.


User Dimitar Mirchev
by
5.4k points
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