   Chapter 9.2, Problem 44E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Use the information from Exercise 43 to find the ratio of volumes V 1 V 2 for two cubes in which e 1 = 2 c m and e 2 = 6 c m .(Note: V 1 V 2 can be found by determining the actual volumes of the cubes.)

To determine

To find:

The ratio of volumes V1V2 for two cubes whose lateral edges are given.

Explanation

Given:

The ratio of volumes is V1V2=(e1e2)3 where e1 and e2 are the lengths of two corresponding edges of similar prisms or pyramids. Also e1=2cm and e2=6cm.

Approach Used:

i) Substitute the given values of e1 and e2 in equation.

ii) Solve the equation to find the ratio V1V2

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