The surface areas of two similar solids are 360 ft2 and 1023 ft2. the volume of the larger solid is 1700 ft3. what is the volume of the smaller solid? a. 1,700 ft3 b. 897 ft3 c. 1,008 ft3 d. 355 ft3

The first thing we must do for this case is find the scale factor.
 We have then:
 
 Where,
 A1: area of the smallest solid
 A2: area of the largest solid.
 Substituting values we have:
 
 Clearing k:
 
 Then, the relation of volumes is:
 
 Where,
 V1: volume of the smallest solid
 V2: volume of the largest solid.
 Clearing V1 we have:
 
 Substituting values:
 
 
 The volume of the smaller solid is:
 D. 355 ft ^ 3