Chapter 9.2, Problem 9E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Suppose that the lateral faces of the pyramid in Exercise 5 have

To determine

**To find:**

The total surface area of the given pyramid.

Explanation

**Given:**

The figure given below

and base

**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 base face is given by the base polygon.

The total surface area

The area of a square

**Calculation:**

From the given figure

The apex is not directly above the center of the base. Hence it is an Oblique Pyramid and the lateral edges are not congruent.

The lateral faces are not congruent. Thus, an irregular pyramid.

The lateral faces are

The lateral area

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