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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 9.CT, Problem 4CT
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1CT
Problem 2CT
Problem 3CT
Problem 4CT
Problem 5CT
Problem 6CT
Problem 7CT
Problem 8CT
Problem 9CT
Problem 10CT
Problem 11CT
Problem 12CT
Problem 13CT
Problem 14CT
Problem 15CT
Problem 16CT
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

For the regular square pyramid shown above, find

a) the lateral area. _______

b) the total area. __________

Chapter 9.CT, Problem 4CT, For the regular square pyramid shown above, find a 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 4⋅4=16 ft.

The triangular lateral face is an isosceles triangle as shown below

Here AD is the slant height l.

By Pythagoras theorem,

(AC)2=(AD)2+(DC)2

To determine

b)

To find:

The total area of the regular square pyramid.

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Sect-9.1 P-1ESect-9.1 P-2ESect-9.1 P-3ESect-9.1 P-4ESect-9.1 P-5ESect-9.1 P-6ESect-9.1 P-7ESect-9.1 P-8ESect-9.1 P-9ESect-9.1 P-10E
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