Asked by john

A rectangular prism has a volume of 162 cubic centimeters. If the length, width, and height are reduced to 1/3 of their original size what will the new volume be
Answered by Reiny
the volume of similar objects is proportional to the cube of their corresponding sides, so

V1 : V2 = 1^3 : 3^3
V1 / 162 = 1/27
V1 = 162/27 = 6

the new volume is 6 cm^3
Answered by john
6 cm^3
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