The pore space in rechargeable batteries has a high tortuosity (effective path length over projected path), which causes energy density of the battery to be limited at a given power level. Current design and fabrication methods of rechargeable lithium-ion batteries involve manufacturing thin laminates of powder-based electrodes, which are highly compressed, and subsequently infused with inorganic liquid electrolytes. Although powder-based electrodes are the lowest-cost forms of metal oxide or carbon-based electrode-active materials, such electrodes have a substantial amount of electrochemically-inactive material. This invention uses a high volume fraction of electrode-active material, in which the existing porosity, which is filled with electrolyte, has a low tortuosity in the primary direction of ion transport during charge and discharge of the battery. The use of low tortuosity electrodes while also maintaining high active materials volume fraction compensates for the decrease in energy density of the battery created with highly porous electrodes.