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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 9.CT, Problem 1CT
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1CT
Problem 2CT
Problem 3CT
Problem 4CT
Problem 5CT
Problem 6CT
Problem 7CT
Problem 8CT
Problem 9CT
Problem 10CT
Problem 11CT
Problem 12CT
Problem 13CT
Problem 14CT
Problem 15CT
Problem 16CT
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

For the regular pentagonal prism shown below, find the total number of

a) edges. ______ b) faces. _______
Chapter 9.CT, Problem 1CT, For the regular pentagonal prism shown below, find the total number of a edges. ______ b faces. , example 1 Chapter 9.CT, Problem 1CT, For the regular pentagonal prism shown below, find the total number of a edges. ______ b faces. , example 2

To determine

a)

To find:

The total number of edges for the regular pentagon prism.

Answer

Solution:

The total number of edges in the regular pentagon prism is 15.

Explanation

Given:

The regular pentagon prism is shown below.’

Elementary Geometry for College Students, Chapter 9.CT, Problem 1CT , additional homework tip 1

Calculation:

We see that the base of the regular pentagon prism is a regular pentagon.

We know that there are five edges in a regular pentagon.

Therefore one base of the regular pentagon prism has five edges.

Since there are two bases, there are 10 base edges.

Also, there are five lateral edges.

Thus the number of edges in the regular pentagon prism is 10+5=15 edges.

Final statement:

Therefore the total number of edges in the regular pentagon prism is 15.

To determine

b)

To find:

The total number of faces for the regular pentagon prism.

Answer

Solution:

The total number of faces in the regular pentagon prism is 7.

Explanation

Given:

The regular pentagon prism is shown below.’

Elementary Geometry for College Students, Chapter 9.CT, Problem 1CT , additional homework tip 2

Calculation:

We see that there are two base faces and five lateral faces.

Hence the total number of faces is 7.

Final statement:

Therefore the total number of faces in the regular pentagon prism is 7.

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Chapter 9.CR,
Problem 32CR
Chapter 9.CT,
Problem 2CT
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Sect-9.1 P-1ESect-9.1 P-2ESect-9.1 P-3ESect-9.1 P-4ESect-9.1 P-5ESect-9.1 P-6ESect-9.1 P-7ESect-9.1 P-8ESect-9.1 P-9ESect-9.1 P-10E
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