   Chapter 9.2, Problem 43E 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

Where e 1 and e 2 are the lengths of two corresponding edges of similar prisms or pyramids, the ratio of their volumes is V 1 V 2 = ( e 1 e 2 ) 3 . Write a ratio to compare volumes for two similar regular square pyramids in which e 1 = 4   i n . and e 2 = 2   i n .

To determine

To find:

A ratio to compare volumes for two similar regular square pyramids 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=4in. and e2=2in.

Approach Used:

i) Substitute the given values of e1 and e2 in V1V2=(e1e2)3.

ii) Solve the equation to find the ratio V1V2.

Calculation:

Substituting e1=4in

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