Chapter 9.2, Problem 22E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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In a regular pentagonal pyramid, each lateral edge measures

a) Find the lateral area of the pyramid.

b) Find the total area of the pyramid.

To determine

**(a)**

**To find:**

The lateral area of the pyramid.

Explanation

**Given:**

A regular pentagonal pyramid, each lateral edge measures

**Properties used:**

A pyramid is made by connecting a base to an apex. The base is flat with straight edges, no curves, hence, a polygon and all other faces are triangles.

A regular pyramid is a pyramid whose base is a regular polygon and whose lateral edges are all congruent.

In a regular pyramid with slant height

The slant height

The lateral area

In a regular pyramid, the lengths of the apothem

**Calculation:**

From the figure below

Lateral edge measures

The apothem of the base measures

Calculating

To determine

**(b)**

**To find:**

The total area of the pyramid.

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