+214 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?
+128460 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
+128460 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
