Similar shpaes have corresponding sides that are proportionalIf 2 surface areas are in the ratio of 25/36then the linear dimensions are in the ratio of 5/6and the volumes are in the ratio of (25/36)(5/6) or (5/6)^3 so for this case 250*(6/5)^3 = 300 Another way to visualize this is to assume the figure with area of 25 in2 is a square with sides of 5the figure with area of 36 in^2 is a square with sides of 6the volume of the smaller figure is the 5x5 square base times a height of 10the larger figure has a base of 6x6 and a height that is proportionally longer or 10*6/5 = 12 inthe volume is then 6x6x12 = 432 This is one example easy to visualize but the areas do not have to be squares, they could be any arbitrary shape that is similar
