To find: The volume of the pyramid
Answer to Problem 12CE
The volume of the pyramid
Explanation of Solution
Given information:
Each edge of the pyramid
Calculation:
The formula for the volume of pyramid is the one third of the product of base area and height of pyramid.
The base of the pyramid is equilateral
The formula for the area of the equilateral triangle is,
Substitute
Use the Pythagorean theorem in
Use the Pythagorean theorem in
Substitute
Therefore, the volume of the pyramid
Chapter 12 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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