This is the concept of scales factors, given that two similar solids with 729 inches^3 and 125 inches^3. The volume scale factor will be given by: (volume of larger solid)/(volume of smaller solid) =729/125 but linear scale factor=(volume scale factor)^1/3 thus the linear scale factor will be: (729/125)^1/3 =9/5 Also, area scale factor will be given by: area scale factor=(linear scale factor)^2 =(9/5)^2 =81/25 The area of the larger solid will be given by: let the area be A; A/74.32=81/25 thus A=81/25*74.32 A=240.7968 inches^2
