Solution:
Let the length of an edge of the cube be x units. Let and be the surf ace areas of the cube and sphere respectively. Then,
and
and
The edge of a cube is equal to the radius of a sphere. If the edge and the radius increase at the same rate, then the ratio of the increases in surface areas of the cube and sphere is
Let the length of an edge of the cube be x units. Let and be the surf ace areas of the cube and sphere respectively. Then,
and
and