+214 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)?
+128408 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
