Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 9 - Section 9.1 - Prisms, Area, and Volume - Exercises - Page 411: 7


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 $cm^{2}$
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