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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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The base of a right prism is a regular hexagon whose sides are 8cm in length. The height of the prism is 13 cm. Find the

a) Lateral area b) total area c) volume.

To determine

(a)

To find:

The lateral area of the right prism of a regular hexagon.

Explanation

Formula used:

Lateral area L of any prism whose altitude has measure h and whose base has perimeter p is given by the formula,

L=ph

Given:

The base of a right prism is a regular hexagon whose sides are 8 cm in length. The height of the prism is 13 cm.

Calculation:

Let L=ph(1)

In this problem, we first find the perimeter of the right prism of a regular hexagon.

Right prism of a regular hexagon as shown in the above figure

To determine

(b)

To find:

The total area of the right prism of a regular hexagon.

To determine

(c)

To find:

The volume of the right prism of a regular hexagon.

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