   Chapter 9.CT, Problem 6CT 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

Find the height of the regular square pyramid shown if each edge of the base measures 8 in. and the length of the slant height is 5 in. To determine

To find:

The height of the regular square pyramid.

Explanation

Given:

For a regular square pyramid with each edge of the base measures 8 in. and the length of the slant height is 5 in.

Formula used:

In a regular pyramid, l2=a2+h2 where a is the apothem and h is the height.

Calculation:

We know that the length of the apothem of the square is one half of the length of the edge.

Therefore a=82=4 in

We have l=5 in

Thus l2=a2+h2 becomes

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