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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 9.1, Problem 14E
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Elementary Geometry for College St...

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

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In the accompanying regular pentagonal prism, suppose that each base edge measures 6 in. and that the apothem of the base measures 4.1 in. The altitude of the prism measures 10 in.

a) Find the lateral area of the prism.

b) Find the total area of the prism.

c) Find the volume of the prism.

Chapter 9.1, Problem 14E, In the accompanying regular pentagonal prism, suppose that each base edge measures 6 in. and that

To determine

a)

To answer:

The lateral area of the prism.

Explanation

The lateral area of any solid is the area of all the number of lateral sides that it have, excluding the area of the top and the bottom of the solid.

The lateral area (L) of any solid prison with the perimeter of the base of the prism as (P) and altitude ‘h’ is given by the formula

L=Ph.

Here, P is the perimeter of any one of the base of the prism and which is given by the sum of all the sides of the base.

Calculation:

Given,

The measure of the base edge of the pentagonal prism = 6 in.

The measure of the apothem of the base of the prism = 4.1 in.

The altitude of the prism = 10 in.

The lateral area of any prism of altitude ‘h’ and of base perimeter P is given by

L=hP

Here, we have

h = 10 in

To determine

b)

To answer:

The total area of the prism.

To determine

c)

To answer:

The volume of the prism.

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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
Sect-9.1 P-11ESect-9.1 P-12ESect-9.1 P-13ESect-9.1 P-14ESect-9.1 P-15ESect-9.1 P-16ESect-9.1 P-17ESect-9.1 P-18ESect-9.1 P-19ESect-9.1 P-20ESect-9.1 P-21ESect-9.1 P-22ESect-9.1 P-23ESect-9.1 P-24ESect-9.1 P-25ESect-9.1 P-26ESect-9.1 P-27ESect-9.1 P-28ESect-9.1 P-29ESect-9.1 P-30ESect-9.1 P-31ESect-9.1 P-32ESect-9.1 P-33ESect-9.1 P-34ESect-9.1 P-35ESect-9.1 P-36ESect-9.1 P-37ESect-9.1 P-38ESect-9.1 P-39ESect-9.1 P-40ESect-9.1 P-41ESect-9.1 P-42ESect-9.1 P-43ESect-9.1 P-44ESect-9.1 P-45ESect-9.1 P-46ESect-9.1 P-47ESect-9.2 P-1ESect-9.2 P-2ESect-9.2 P-3ESect-9.2 P-4ESect-9.2 P-5ESect-9.2 P-6ESect-9.2 P-7ESect-9.2 P-8ESect-9.2 P-9ESect-9.2 P-10ESect-9.2 P-11ESect-9.2 P-12ESect-9.2 P-13ESect-9.2 P-14ESect-9.2 P-15ESect-9.2 P-16ESect-9.2 P-17ESect-9.2 P-18ESect-9.2 P-19ESect-9.2 P-20ESect-9.2 P-21ESect-9.2 P-22ESect-9.2 P-23ESect-9.2 P-24ESect-9.2 P-25ESect-9.2 P-26ESect-9.2 P-27ESect-9.2 P-28ESect-9.2 P-29ESect-9.2 P-30ESect-9.2 P-31ESect-9.2 P-32ESect-9.2 P-33ESect-9.2 P-34ESect-9.2 P-35ESect-9.2 P-36ESect-9.2 P-37ESect-9.2 P-38ESect-9.2 P-39ESect-9.2 P-40ESect-9.2 P-41ESect-9.2 P-42ESect-9.2 P-43ESect-9.2 P-44ESect-9.2 P-45ESect-9.3 P-1ESect-9.3 P-2ESect-9.3 P-3ESect-9.3 P-4ESect-9.3 P-5ESect-9.3 P-6ESect-9.3 P-7ESect-9.3 P-8ESect-9.3 P-9ESect-9.3 P-10ESect-9.3 P-11ESect-9.3 P-12ESect-9.3 P-13ESect-9.3 P-14ESect-9.3 P-15ESect-9.3 P-16ESect-9.3 P-17ESect-9.3 P-18ESect-9.3 P-19ESect-9.3 P-20ESect-9.3 P-21ESect-9.3 P-22ESect-9.3 P-23ESect-9.3 P-24ESect-9.3 P-25ESect-9.3 P-26ESect-9.3 P-27ESect-9.3 P-28ESect-9.3 P-29ESect-9.3 P-30ESect-9.3 P-31ESect-9.3 P-32ESect-9.3 P-33ESect-9.3 P-34ESect-9.3 P-35ESect-9.3 P-36ESect-9.3 P-37ESect-9.3 P-38ESect-9.3 P-39ESect-9.3 P-40ESect-9.3 P-41ESect-9.3 P-42ESect-9.3 P-43ESect-9.3 P-44ESect-9.3 P-45ESect-9.3 P-46ESect-9.3 P-47ESect-9.3 P-48ESect-9.3 P-49ESect-9.4 P-1ESect-9.4 P-2ESect-9.4 P-3ESect-9.4 P-4ESect-9.4 P-5ESect-9.4 P-6ESect-9.4 P-7ESect-9.4 P-8ESect-9.4 P-9ESect-9.4 P-10ESect-9.4 P-11ESect-9.4 P-12ESect-9.4 P-13ESect-9.4 P-14ESect-9.4 P-15ESect-9.4 P-16ESect-9.4 P-17ESect-9.4 P-18ESect-9.4 P-19ESect-9.4 P-20ESect-9.4 P-21ESect-9.4 P-22ESect-9.4 P-23ESect-9.4 P-24ESect-9.4 P-25ESect-9.4 P-27ESect-9.4 P-28ESect-9.4 P-29ESect-9.4 P-30ESect-9.4 P-31ESect-9.4 P-32ESect-9.4 P-33ESect-9.4 P-34ESect-9.4 P-35ESect-9.4 P-36ESect-9.4 P-37ESect-9.4 P-38ESect-9.4 P-39ESect-9.4 P-40ESect-9.4 P-41ESect-9.4 P-42ESect-9.4 P-43ESect-9.4 P-44ESect-9.4 P-45ESect-9.4 P-46ESect-9.4 P-47ESect-9.4 P-48ESect-9.4 P-49ESect-9.4 P-50ESect-9.CR P-1CRSect-9.CR P-2CRSect-9.CR P-3CRSect-9.CR P-4CRSect-9.CR P-5CRSect-9.CR P-6CRSect-9.CR P-7CRSect-9.CR P-8CRSect-9.CR P-9CRSect-9.CR P-10CRSect-9.CR P-11CRSect-9.CR P-12CRSect-9.CR P-13CRSect-9.CR P-14CRSect-9.CR P-15CRSect-9.CR P-16CRSect-9.CR P-17CRSect-9.CR P-18CRSect-9.CR P-19CRSect-9.CR P-20CRSect-9.CR P-21CRSect-9.CR P-22CRSect-9.CR P-23CRSect-9.CR P-24CRSect-9.CR P-25CRSect-9.CR P-26CRSect-9.CR P-27CRSect-9.CR P-28CRSect-9.CR P-29CRSect-9.CR P-30CRSect-9.CR P-31CRSect-9.CR P-32CRSect-9.CT P-1CTSect-9.CT P-2CTSect-9.CT P-3CTSect-9.CT P-4CTSect-9.CT P-5CTSect-9.CT P-6CTSect-9.CT P-7CTSect-9.CT P-8CTSect-9.CT P-9CTSect-9.CT P-10CTSect-9.CT P-11CTSect-9.CT P-12CTSect-9.CT P-13CTSect-9.CT P-14CTSect-9.CT P-15CTSect-9.CT P-16CT

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