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: 36

Answer

similarity ratio = 7:9 ratio of volumes = 343: 729

Work Step by Step

The similarity ratio is the square root of the ratio of surface areas. $$\sqrt \frac{49}{81} = \frac{7}{9}$$ The ratio of volumes is the similarity ratio cubed. $$\frac{7^{3}}{9^{3}}= \frac{343}{729}$$
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