  We introduce a new normalization condition for symplectic capacities, which
we call cube normalization. This condition is satisfied by the Lagrangian
capacity and the cube capacity. Our main result is an analogue of the strong
Viterbo conjecture for monotone toric domains in all dimensions. Moreover, we
give a family of examples where standard normalized capacities coincide but not
cube normalized ones. Along the way, we give an explicit formula for the
Lagrangian capacity on a large class of toric domains.
