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Two similar solids have volumes of 576 in³ and 1125 in³. If the smaller solid has a side length of 12 inches, how long is the corresponding side in the larger solid (in inches)?

chitsuii  Jun 26, 2018
 #1
avatar+87334 
+2

We  need to take the  cube root of the  ratio  of  the  volume of the larger solid to the smaller to  find the scale factor

 

So  we have   ∛ [ 1125 / 576  ]  = ∛  [ 125/64 ] =   5/4

 

So.....the correseponding side of the larger solid  =

 

Side length of the smaller solid  *  ( scale factor of larger solid to the smaller )

 

12  *  (5/4)  =

 

60  / 4  =

 

15  inches

 

 

cool cool cool

CPhill  Jun 26, 2018
 #2
avatar+214 
+1

thank you so much dude laugh ill probably back later again lol. since im taking geo online. 

chitsuii  Jun 26, 2018
 #3
avatar+87334 
0

OK....glad to help   (if I can )  !!!

 

 

cool cool cool

CPhill  Jun 26, 2018

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