1. The problem statement, all variables and given/known data A solid sphere has a temperature of 785 K. The sphere is melted down and recast into a cube that has the same emissivity and emits the same radiant power as the sphere. What is the cube's temperature? 2. Relevant equations Q = eσT4At 3. The attempt at a solution I know that the radiant power and emmissivity of the two objects are the same and σ is a constant so I can say that; Ts4As = T4cAc Subscript s and c for sphere and cube. I know the sphere's temperature and can express it's area as 4∏r2 and the area of the cube can be expressed as 6r2. Where r represents one side. And now, I don't know what to do. Is there a relationship that links the volume of a sphere to the size of cube that can be made from it?