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Elementary Geometry for College St...

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

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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For Exercise 43 to 45, consider the oblique regular pentagonal prism shown. Each side of the base measures 12 cm, and the altitude measures 12 cm.

Find the lateral area of the prism.

(HINT: Each lateral face is a parallelogram.)

Chapter 9.1, Problem 43E, For Exercise 43 to 45, consider the oblique regular pentagonal prism shown. Each side of the base

To determine

To find:

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 regular pentagonal = 12 cm.

The altitude of the measures = 12 cm.

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

L=hP

Here, we have

h=12 cm

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