  We study the length spectrum of a model of random hyperbolic 3-manifolds
introduced by Petri and Raimbault. These are compact manifolds with boundary
constructed by randomly gluing truncated tetrahedra along their faces. We prove
that, as the volume tends to infinity, their length spectrum converge in
distribution to a Poisson point process on $\mathbb{R}_{\geq0}$, with
computable intensity $\lambda$.
