Partial cubes are isometric subgraphs of the hypercube graphs, while l1-graphs are graphs embeddable in a hypercube up to a scale. These two classes of graphs have been focus of much study in recent years. In the talk we will discuss recent structure results and a Euler-type inequality for partial cubes, which is a joint work with S. Klavˇzar. We will also review the classification of l1-embeddable fullerene graphs (joint work with M. Marcusanu) and related results.