Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 9 - Section 9.2 - Pyramids, Area, and Volume - Exercises - Page 419: 44

Answer

$\frac{V_1}{V_2} = \frac{1}{27}$

Work Step by Step

We can find the ratio of volumes: $\frac{V_1}{V_2} = (\frac{e_1}{e_2})^3$ $\frac{V_1}{V_2} = (\frac{2~cm}{6~cm})^3$ $\frac{V_1}{V_2} = (\frac{1}{3})^3$ $\frac{V_1}{V_2} = \frac{1}{27}$
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