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Two similar solids have surface areas of 112 in2 and 175 in2. If the smaller solid has a side length of 20 inches, how long is the corresponding side in the larger solid (in inches)?

chitsuii  Jun 27, 2018
 #1
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The   ratio of the surface area  of the larger solid to the smaller  is   175 /112  = 25/16

Since we are talking about surface area, we need to take the square root of this to find the scale factor of the larger solid to the smaller

 

So   √[ 25 /16 ]  =    5/4

 

So....the corresponding side of the larger solid  is

 

(Side length of the smaller solid) *  (Scale Factor)  =

 

(20)   *  (5/4)  =

 

20 * 5   /  4  =

 

100 / 4  =

 

25 inches

 

 

cool cool cool

CPhill  Jun 27, 2018

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