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# sorry to bother yall but ya girl needs help

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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
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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

Jun 26, 2018
#2
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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

CPhill  Jun 26, 2018