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?

chitsuii
Jun 26, 2018

#1**+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

CPhill
Jun 26, 2018

#2**+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

CPhill
Jun 26, 2018