   Chapter 9.CR, Problem 5CR 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

The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the prism is 10 in. find the a) Lateral area. b) total area. c) volume.

To determine

(a)

To find:

The lateral area of the right prism of a triangle.

Explanation

Formula used:

Lateral area L of any prism whose altitude has measure h and whose base has perimeter p is given by the formula,

L=ph

Given:

The base of a right prism is a triangle whose sides have lengths of 9 in., 15 in., and 12 in. The height of the prism is 10 in.

Calculation:

Let L=ph(1)

In this problem, we first find the perimeter of the right prism of a triangle.

Right prism of a triangle as shown in the above figure.

The perimeter of right prism of a triangle is given by the formula,

p=a+b+c

To determine

(b)

To find:

The total area of the right prism of a triangle.

To determine

(c)

To find:

The volume of the right prism of a triangle.

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