Cram attended the Winwood High School in Long Island, N.Y. From 1938 to 1941, he attended Rollins College, in Winter Park, Florida on a national honorary scholarship, where he worked as an assistant in the chemistry department, and was active in theater, chapel choir, Lambda Chi Alpha, Phi Society, and Zeta Alpha Epsilon. It was at Rollins that he became known for building his own chemistry equipment. In 1941, he graduated from Rollins College with a B.S. in Chemistry.