   Chapter 9.CR, Problem 7CR 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

A regular square pyramid has a base whose sides are of length 10 cm each. The altitude of the pyramid measures 8cm. Find the length of the slant height.

To determine

To find:

The length of the slant height of the regular square pyramid.

Explanation

Formula used:

Pythagorean Theorem:

In a regular pyramid, the lengths of the apothem a of the base, the altitude h, and the slant height l satisfy the Pythagorean Theorem.

l2=a2+h2

Given:

A regular square pyramid has a base whose sides are of length 10 cm each. The altitude of the pyramid measures 8cm.

Calculation:

Let us consider regular square pyramid base of the figure,

The above figure shown that the apothem to any side has length 5 cm. (one-half the length of the side of the square base)

Also, the slant height is the hypotenuse of a right triangle with legs equal to the lengths of the altitude of the pyramid and the apothem of the base. See the below figure.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 