#### Answer

20.6 $in^{2}$

#### Work Step by Step

Given
the bases of the triangular prism has an area of 3.4 $in^{2}$
each lateral face has an area of 4.6 $in^{2}$
To find the the total (surface) area of the prism.
Using Theorem 9.1.2
The total area of any prism with lateral area L and base area B is given by T = L + 2B
Therefore Triangular prism has 3 lateral faces
T = 3(L) + 2B
= 3(4.6) + 2(3.4)
=13.8 + 6.8 = 20.6 $in^{2}$