Chapter 9.2, Problem 10E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Suppose that the base of the hexagonal pyramid in Exercise 6 has an area of

To determine

**To find:**

The total surface area of the given pyramid.

Explanation

**Given:**

The figure given below

and base of the hexagonal pyramid has an area of

**Formula Used:**

A pyramid is made by connecting a base to an apex or vertex. 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.

The lateral faces are given by the triangular faces of the pyramid.

The total surface area

The area of a square

**Calculation:**

From the given figure

The apex is directly above the center of the base. Hence it is a right Pyramid and the lateral edges are congruent.

The lateral faces are congruent. Thus, a regular pyramid.

The number of lateral faces is given by the triangular faces of the pyramid i

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