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Suppose Solid X and Solid Y are similar. The surface area of Solid X is 539 cm2, and the surface area of Solid Y is 891 cm2. If Solid X has a height of 28 cm, what is the height of Solid Y in centimeters?

 Jun 26, 2018
 #1
avatar+98182 
+2

The surface area  of  Y  to X  is   (  891/ 539)  = 81/49

 

For any dimension from Y to X.....we can take the square root of 81/49  = 9/7

 

So....this is the scale factor  for  each dimension from Y to X

 

So....the height of Y  will be  =

 

Height of X  * ( scale factor of Y to X )   =

 

28  * (9/7) =

 

28 / 7  *  9   =

 

4  * 9  =

 

36 cm

 

 

cool cool cool

 Jun 26, 2018
 #2
avatar+98182 
+1

Asd an adddendum.....when we are talking about volume comparisons of similar solids....we are either taking a cube root to find a scale factor....or we are cubing the scale factor to find a voliume

 

For surface area......we   are either taking a square root to find a scale factor, or we are squaring the scale factor to find a surface area

 

cool cool cool

CPhill  Jun 26, 2018

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