Chapter 9.CT, Problem 4CT

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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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* 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

The triangular lateral face is an isosceles triangle as shown below

Here *AD* is the slant height *l*.

By Pythagoras theorem,

To determine

b)

**To find:**

The total area of the regular square pyramid.

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