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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In a regular pentagonal pyramid, each base edge measures 9.2 cm and the apothem of the base measures 6.3 cm . The altitude of the pyramid measures 14.6 cm .

a) Find the base area of the pyramid.

b) Find the volume of the pyramid.

Chapter 9.2, Problem 23E, In a regular pentagonal pyramid, each base edge measures 9.2cm and the apothem of the base measures

To determine

(a)

To find:

The base area of the pyramid.

Explanation

Given:

A regular pentagonal pyramid, each base edge measures 9.2cm and the apothem of the base measures 6.3cm and the altitude of the pyramid measures 14.6cm.

Properties used:

A pyramid is made by connecting a base to an apex. The base is flat with straight edges, no curves, hence, a polygon and all other faces are triangles.

A regular pyramid is a pyramid whose base is a regular polygon and whose lateral edges are all congruent.

The base area B of a regular pyramid is given by the area of the polyhedron formed.

Calculation:

From the given figure,

Each base edge measures 9.2cm and the apothem of the base measures 6

To determine

(b)

To find:

The volume of the pyramid.

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