   Chapter 9.CT, Problem 4CT 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 square pyramid shown above, finda) the lateral area.b) the total area. To determine

a)

To find:

The lateral area of the regular square pyramid.

Explanation

Given:

The regular square pyramid is shown below

Formula used:

The lateral area of the regular pyramid is L=12lP where l is slant height and P is the perimeter of the base.

Calculation:

From the figure we see that the base has four edges each of 4 ft length.

Therefore the perimeter is 44=16 ft.

The triangular lateral face is an isosceles triangle as shown below

Here AD is the slant height l.

By Pythagoras theorem,

To determine

b)

To find:

The total area of the regular square pyramid.

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