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The base of a triangular prism is an isosceles right triangle with a hypotenuse of √32 centimeters. The height of the prism is 6 centimeters. Find the surface area of the triangular prism. Round your answer to the nearest tenth.

Guest Apr 27, 2017
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We need to find the length of one  leg , l,  of the right triangle

 

So we have

 

2l^2   =  32      divide by 2

 

l^2  =  16

 

l = 4

 

So.....the surface area of the right triangle  =  (1/2) l^2   =  (1/2)4^2  

 

And the total surface area  =

 

Surface area of top/bottom  +  surface area of the sides  =

 

2 [ (1/2)4^2 ]   +   6 [ 4 + 4 + √32  ]  ≈  97.9  cm^2

 

 

 

cool cool cool   

CPhill  Apr 27, 2017

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