To find: The height and the volume of the pyramid.
Answer to Problem 8CR
Theheight and the volume of a regular square pyramid is
Explanation of Solution
Given information: Base edge and total area of a regular square pyramid is
Calculation:
A regular square pyramid of base
The formula for total surface area of a regular square pyramid is:
Substitute
Take square both sides and solve.
Solve further.
So, the height of the regular square pyramid is
The formula for the volume of the regular square pyramid is:
Substitute
So, the volume of the pyramid is
Therefore, the height and the volume of a regular square pyramid is
Chapter 12 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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