... for Length, Volume and Mass. 10% increase => 20 ? 10% = 2 100 => 20m + 2m (increase) = 22m So... New cuboids dimensions = Length = 22m Width = 10m Height = 5m Volume = 10m ? 22m ? 5m = 1100m3 S. Area = (2?10?5)+(2?22?5)+(2?10?22) = 100 + 220 + 440 = 760m3 Mass = 7800kg/m3 ? 1100m3 = 8'580'000kg Volume = 10m ? 27m ? 5m = 1350m3 S. Area = (2?10?5)+(2?27?5)+(2?10?27) = 100 + 270 + 540 = 910m3 Mass = 7800kg/m3 ? 1350m3 = 10'530'000kg This proves that whatever percentage one dimension is increased by, the volume and Mass are increased by the same percentage. This proves that Volume and Mass are directly proportional to the length of any one key dimension. Whether it is the length, width or height that is changed this will be the same. The task now is to determine whether the Volume, Surface Area and Mass of the cuboid react in the same way if two dimensions are changed. ...

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