To find: The volume of the pieces of pyramids.
Answer to Problem 21WE
The volume of top part of the pyramid is
Explanation of Solution
Given information:
The volume of originalpyramidis
Calculation:
The volume of right pyramid is proportional to the base area and height.Let’s the volume of cone is
Both the pyramid is similar. So, the ratio of base edge and height would be similar.
The volume is proportional to the cube of height, ratio of volume of the top part of the pyramid to the volume of the whole pyramid.
The volume of top part of the pyramid is
The volume of the bottom pyramid is the whole pyramid volume minus the top pyramid volume.
The volume of bottom part of the pyramid is
Therefore,the volume of top part of the pyramid is
Chapter 12 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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