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)?

chitsuii Jun 27, 2018

#1**+1 **

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

CPhill Jun 27, 2018