Answer
132 $cm^{2}$
Work Step by Step
Given
the bases of the hexagonal prism in Exercise 1 has an area of 12 $cm^{2}$
each lateral face has an area of 18 $cm^{2}$
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 hexagonal has six lateral faces and two bases
T = 6(L) + 2B
= 6(18) + 2(12)
=108 + 24
=132 $cm^{2}$