We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

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