   Chapter 9.1, Problem 17E 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 right triangular prism found in Exercise 16, suppose that the sides of the triangular base measures 3 ft, 4 ft, and 5 ft. The altitude is 6 ft in length. a ) Find the lateral area of the prism. b ) Find the total area of the prism. c ) Find the volume area of the prism. To determine

(a)

The lateral area of the prism.

Explanation

The lateral area of any solid is the area of all the number of lateral sides that it have, excluding the area of the top and the bottom of the solid.

The lateral area (L) of any solid prison with the perimeter of the base of the prism as (P) and altitude ‘h’ is given by the formula.

L=Ph.

Here, P is the perimeter of any one of the base of the prism and which is given by the sum of all the sides of the base.

Calculation:

Given,

The measure of the base edge of the Triangular prism =3 ft, 4 ft. and 5 ft.

The altitude of the prism =6 ft.

The lateral area of any prism of altitude ‘n’ and of base perimeter P is given by,

L=hP

Here, we have

n=6 ft.

First, let us find the perimeter of the base of the prism

To determine

(b)

The total area of the prism.

To determine

(c)

The volume of the prism.

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