Chapter 9.2, Problem 34E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid. Each side of the octagonal floor has a length of

To determine

**To find:**

The height of the foyer.

Explanation

**Given:**

A foyer in shape of a regular octagonal pyramid and each side of the octagonal floor has a length of

**Properties Used:**

The lateral area

In a regular pyramid, the lengths of the apothem

**Approach Used:**

i) Calculate the perimeter of the base

ii) Substitute the values of

iii) Using the property

**Calculation:**

Since, foyer is in shape of a regular octagonal pyramid and each side of the octagonal floor has a length of

Hence, the perimeter of the octagonal base is

The lateral area of the pyramid is

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