## Elementary Geometry for College Students (5th Edition)

20.6 $in^{2}$
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 $in^{2}$