The surface area of a piece of gold is directly proportional to the square of its weight. By what ratio should the weight be adjusted so as to double the surface area.

Question

The surface area of a piece of gold  is directly proportional to the square of its weight. By what ratio should the weight be adjusted so as to double the surface area.

bobpursley · Answer

surface area= k w^2 w=sqrt (area/k) double surface area. w'=w sqrt2

Anonymous · Answer

Thanks.I had a similar question in my recent exam. I followed a similar procedure...Made a silly error though at the end,forgot to square root..I ended up with w^2'=2w^2.