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Two square pyramids are similar. If the heights of the pyramids are 9 inches and 12 inches, and the volume of the smaller pyramid is 162 in³, what is the volume of the larger pyramid (in cubic inches)?

chitsuii  Jun 26, 2018
 #1
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The  scale factor  of the larger pyramid to the smaller is 12/9  =  4/3

 

The volume of the larger will be equal to

 

Volume of the smaller pyramid  *  ( scale factor ) ^3

 

So we have

 

162  * (4/ 3)^3  =

 

162  *  (64  / 27)  =

 

384  in^3

 

 

cool cool cool

CPhill  Jun 26, 2018

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