Chapter 9.CR, Problem 7CR

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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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

**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.

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