The authors study the triple products of (1,1)-forms for Calabi-Yau manifolds, and derive them in closed form for those that are constructed as smooth hypersurfaces in products of semi-ample complex surfaces, or are complete intersections in products of complex projective spaces from which they inherit all their (1,1)-cohomology. Certain invariant properties of these products are found to distinguish between manifolds with the same Hodge diamond, and the authors discuss such computations and their applications.