   Chapter 9.2, Problem 12E 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

Suppose that the base of the hexagonal pyramid in Exercise 6 has an area of 41.6 c m 2 and that the altitude of the pyramid measures 3.7 c m . Find the volume of the hexagonal pyramid. To determine

To find:

The volume of the given pyramid.

Explanation

Given:

The figure given below

and the base of the hexagonal pyramid has an area of 41.6cm2 and the altitude of the pyramid measures 3.7cm.

Formula Used:

The altitude/height of the pyramid is the line segment from the vertex perpendicular to the plane of the base.

The volume V of a pyramid having a base area B and an altitude of length h is given by

V=13Bh.

Calculation:

From the given figure

and the base of the hexagonal pyramid has an area of 41

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