Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 11 - Surface Area and Volume - 11-7 Areas and Volumes of Similar Solids - Practice and Problem-Solving Exercises - Page 748: 34

Answer

ratio of surface areas = 1:4 ratio of volumes = 1:8

Work Step by Step

The ratio of the surface areas is the similarity ratio squared. $$\frac{1^{2}}{2^{2}}= \frac{1}{4}$$ The ratio of the volumes is the similarity ratio cubed. $$\frac{1^{3}}{2^{3}}= \frac{1}{8}$$
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