   Chapter 9.2, Problem 5E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In the solid shown, base A B C D is a square.a) Is the solid a prism or a pyramid?b) Name the vertex (apex) of the pyramid.c) Name the lateral edges.d) Name the lateral faces.e) Is the solid a regular solid? To determine

(a)

To name:

The solid in the given figure is a prism or a pyramid.

Explanation

Given:

The figure given below

and base ABCD is a square.

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

To determine

(b)

To name:

The vertex in the given figure.

To determine

(c)

To name:

The lateral edges in the given figure.

To determine

(d)

To name:

The lateral faces in the given figure.

To determine

(e)

To find:

The given figure is a regular solid.

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