  The minimal volume of orientable hyperbolic manifolds with a given number of
cusps has been found for $0,1,2,4$ cusps, while the minimal volume of 3-cusped
orientable hyperbolic manifolds remains unknown. By using guts in sutured
manifolds and pared manifolds, we are able to show that for an orientable
hyperbolic 3-manifold with 3 cusps such that every second homology class is
libroid, its volume is at least $5.49\ldots = 6 \times $Catalan's constant.
