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

#1**+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

CPhill
Apr 27, 2017