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Geometry worksheet in which students develop and apply a theorem relating scale factors and volumes of similar polyhedrons.
Geometry worksheet in which students apply a theorem relating scale factors and volumes of similar polyhedrons.

Activity 3.8​

Assignment 3.9

​​Previous
​Assignment 8.24

​Ratio of Volumes of Similar Polyhedrons

 
Objective
Develop and apply a theorem relating scale factors and volumes of similar polyhedrons.
 
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End of Unit

About Geometry Worksheet Assignment 8.24:                   

 

Assignment 8.24 is an introduction to ratio of volumes in similar polyhedrons and its relationship to the ratio of scale factors.

 

Prerequisite Skills:  Find volumes of prisms (Assignment 8.22).  Find scale factors (Assignment 6.9).  Solve proportions (Assignment 6.2).

 

Theorem:  The volumes of similar polyhedrons are proportional to the third power of the scale factor.

 

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