for similar shapes or objects,
the volumes of similar objects are proportional to the cubes of their corresponding sides. So ...
height1^3 : height2^3 = 250 : 54 = 125 : 27
height1 : height2 = 125^(1/3) : 27^(1/3) = 5 : 3
the surface areas of similar objects are proportional to the squares of their corresponding sides, so ...
surface area1 : surface area2 = 5^2 : 3^2 = 25 : 9
Two similar boxes have volumes of 250cm^3 and 54cm^3.what is the ratio of a)their heights
b)their surface areas?
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