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1. A 19.3-g mass of gold in the form of a cube is 1 cm long on each side (somewhat smaller than a sugar cube). What would be the length of the sides of a cube having twice this mass of gold?
2. Density=mass/volume
3. I had help from a friend in which resulted with the following result/attempt but I am confused in regards to the foundations of how I solved the problem...I know while dimensions may be squared, weight and volume is cubed but I want to understand the solid foundations of the question...
1.26 cm. V1=1cm^3 which results in m1=19.3 grams, density=m/v=19.3 g/cm^3; m2=2x19.3=38.6 grams (density remains constant of 19.3 g/cm^3); V2=2V1=2 cm^3 resulting in each side from 2^1/3=1.26 cm for each side. It is important to remember than while the surface area proportions are squared, the volume and weight is always cubed."
2. Density=mass/volume
3. I had help from a friend in which resulted with the following result/attempt but I am confused in regards to the foundations of how I solved the problem...I know while dimensions may be squared, weight and volume is cubed but I want to understand the solid foundations of the question...
1.26 cm. V1=1cm^3 which results in m1=19.3 grams, density=m/v=19.3 g/cm^3; m2=2x19.3=38.6 grams (density remains constant of 19.3 g/cm^3); V2=2V1=2 cm^3 resulting in each side from 2^1/3=1.26 cm for each side. It is important to remember than while the surface area proportions are squared, the volume and weight is always cubed."