   Chapter 9.2, Problem 23E 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

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. 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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