Paper products, such as hand towels, have high absorbency, high caliper, and good perceived softness. Two-ply products have a caliper of at least about 260 mils/8 sheets and an SAT capacity of at least about 650 g/m2. The paper products are made using a structuring fabric that has a high planar volumetric index, which indicates a relation between the contact area ratio of a papermaking web contacting surface of the structuring fabric and the volume of pockets of the fabric.