+0  
 
+1
113
1
avatar

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
Sort: 

1+0 Answers

 #1
avatar+77111 
+1

 

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

17 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details