Chapter 9.1, Problem 14E

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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.

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

Here,

**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 â€˜

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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