   Chapter 9.CT, Problem 2CT 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

For the regular pentagonal base, each edge measures 3.2 cm and the apothem measures 2 cm.a) Find the area of the base ( use  A = 1 2 a P ) . b) Find the total area of the regular pentagonal prism if its altitude measures 5 cm.c) Find the volume of the prism. To determine

a)

To find:

The area of the regular pentagonal base.

Explanation

Given:

For the regular pentagonal base, each edge measures 3.2 cm and the apothem measures 2 cm.

Formula used:

The area of the base is A=12aP where a is the length of the apothem and P is the perimeter of the base.

Calculation:

We have a=2 cm, s=3.2 cm.

Since there are 5 edges in the base, the perimeter of the base is P=53.2=16 cm

To determine

b)

To find:

The total area of the regular pentagonal prism.

To determine

c)

To find:

The volume of the prism.

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