The supermolecular structures, as measured by small-angle light scattering, were determined as a function of branching content and quenching temperature for a series of ethylene-vinyl acetate copolymers. The morphological pattern that evolved was similar to that of random ethylene-1-alkene copolymers and long-chain branched polyethylenes. The structure of the lamellar crystallites determines whether spherulites develop and how well they are organized.