document.write( "Question 313518: Your friend has a cube of gold. You have a cube of gold that weighs twice as much. Your cube is _____ as long as your friends, and it has ____ times the surface area. The ratio of the weight of your cube and the surface area of your cube is ___ times as large as the corresponding ratio of your friend's cube. \n" ); document.write( "
Algebra.Com's Answer #224217 by Alan3354(69443) You can put this solution on YOUR website! Your friend has a cube of gold. You have a cube of gold that weighs twice as much. Your cube is _____ as long as your friends, and it has ____ times the surface area. The ratio of the weight of your cube and the surface area of your cube is ___ times as large as the corresponding ratio of your friend's cube. \n" ); document.write( "--------------- \n" ); document.write( "Volume is a function of the cube (3rd power) of the sides \n" ); document.write( "2x the weight = 2x the volume = cube root(2) times the edge length. \n" ); document.write( "Surface area is a function of the square of the sides --> cube root(4) times the surface area. \n" ); document.write( "--------------- \n" ); document.write( "The ratio of volume to surface area = s^3/s^2 = s (side length) \n" ); document.write( "for 2s, it's 8s^3/4s^2 = 2s \n" ); document.write( "The ratio is a linear function of side length \n" ); document.write( " |