Right-angled polyhedra in hyperbolic spaces are serving as useful building blocks for constructing hyperbolic manifolds and orbifolds with interesting properties. We will look at dimension three, where we describe existence conditions and the volume set structure. Then we will present a way to construct closed hyperbolic 3-manifolds related to color-epimorphisms of right-angled Coxeter groups and find 2-fold branched coverings of the 3-sphere. As a particular case, we will discuss the first example of a closed orientable hyperbolic 3-manifold constructed by F. Loebell in 1931.

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