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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

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