Chapter 9.2, Problem 13E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Assume that the number of sides in the base of a pyramid is

**a)** What is the number of vertices?

**b)** What is the number of lateral edges?

**c)** What is the number of base edges?

**d)** What is the total number of edges?

**e)** What is the number of lateral faces?

**f)** What is the total number of faces?

*(Note: Lateral faces and base =faces.)*

To determine

**(a)**

**To generalize:**

The result for the number of vertices.

Explanation

**Given:**

The number of sides in the base of a pyramid is

**Properties 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. The altitude/height of the pyramid is the line segment from the vertex perpendicular to the plane of the base.

To determine

**(b)**

**To generalize:**

The result for the number of lateral edges.

To determine

**(c)**

**To generalize:**

The result for the number of base edges.

To determine

**(d)**

**To generalize:**

The result for the total number of edges.

To determine

**(e)**

**To generalize:**

The result for the number of lateral faces.

To determine

**(f)**

**To generalize:**

The result for the total number of faces.

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