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A comprehensive geometry curriculum
Geometry for School and Home
Activity 3.8
Assignment 3.9
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Assignment 8.24
Ratio of Volumes of Similar Polyhedrons
Objective
Develop and apply a theorem relating scale factors and volumes of similar polyhedrons.
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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