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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

The slant height of a regular square pyramid measures 15in. One side of the base measures 18 in. find the

a) Lateral area b) total area c) volume

To determine

(a)

To find:

The lateral area of the regular square pyramid.

Explanation

Formula used:

Lateral area L of any prism whose slant height has measure l and whose base has perimeter p is given by the formula,

L=12pl

Given:

The slant height of a regular square pyramid measures 15 in. One side of the base measures 18 in.

Calculation:

Let L=12pl(1)

In this problem, we first find the perimeter of the regular square pyramid.

Regular square pyramid as shown in the above figure.

The perimeter of regular square pyramid is given by the formula,

p=4sȀ

To determine

(b)

To find:

The total area of the regular square pyramid.

To determine

(c)

To find:

The volume of the regular square pyramid.

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