Chapter 9.2, Problem 45E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

A hexagonal pyramid (not regular) with base

To determine

**To find:**

The volume of the pyramid.

Explanation

**Given:**

A hexagonal pyramid (not regular) with base

and the volume of the pyramid with apex

**Properties Used:**

Symmetry is when two or more parts are identical after a flip, slide or turn. A plane of symmetry is an imaginary plane along which the figure is flipped, slides or turned to get two or more identical parts.

To have this type of symmetry, a plane can be drawn for which each point of the space figure has a corresponding point on the opposite side of the plane at the same distance from the plane as shown in figure below.

The plane of symmetry divides the pyramid in two equal solids with the same volume.

**Calculation:**

Since, in the hexagonal pyramid (not regular) with base

Hence, the volume of the whole pyramid is

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