Chapter 9.1, Problem 13E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Generalize the results found in Exercise 11 and 12 by answering each of the following questions. Assume that the number of sides in each base of the prism is *n.* For the prism, what is the

a) number of vertices?

b) number of lateral edges?

c) number of base edges?

d) total of base of edges?

e) number of lateral faces?

f) number of bases?

g) total number of faces?

To determine

a)

**To answer:**

Assuming that the number of sides in each base of the prism is

Explanation

**Calculation:**

Given,

The number of sides in each base of the prism is

From Exercise 11(a)

For an octagonal prism,

The octagonal prism has 16 vertices.

(8 vertices at the upper base and 8 vertices at the lower base).

From Exercise 12 (a)

For a pentagonal prism,

The pentagonal prism has 10 vertices

To determine

b)

**To answer:**

Assuming that the number of sides in each base of the prism is

To determine

c)

**To answer:**

Assuming that the number of sides in each base of the prism is

To determine

d)

**To answer:**

Assuming that the number of sides in each base of the prism is

To determine

e)

**To answer:**

Assuming that the number of sides in each base of the prism is

To determine

f)

**To answer:**

Assuming that the number of sides in each base of the prism is

To determine

g)

**To answer:**

Assuming that the number of sides in each base of the prism is

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