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: 14b

Answer

423 $in.^{2}$

Work Step by Step

Base area = $\frac{perimeter \times apothem }{2}$ Base area = $\frac{5 \times 6 in. \times 4,1 in. }{2}$ Base area = 61. 5 $in.^{2}$ Lateral area = 5 $\times$ side $\times$ height Lateral area = 5 $\times$ 6 in. $\times$ 10 in. Lateral area = 300 $in.^{2}$ Total area = lateral area + 2 $\times$ area of the base Total area = 300 $in.^{2}$ + 2 $\times$ 61.5 $in.^{2}$ Total area = 423 $in.^{2}$
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