To find: The volume of the pyramid in terms of
Answer to Problem 30WE
The volume of the pyramid in terms of
Explanation of Solution
Given information:
The base of a pyramid is a regular hexagon with sides
Calculation:
Consider the hexagon.
Figure (1)
The formula for the volume of pyramid is one third of the product of area of hexagon and height of hexagon.
As the
So, the length of the side
Extend the line
Use the Pythagoras theorem in
So, the height of the hexagon is equal to
Simplify the area of hexagon with side equal to
Substitute
Therefore, the volume of the pyramid in terms of
Chapter 12 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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