The present disclosure provides a filament for use in an extrusion-based additive manufacturing system made from or containing a propylene terpolymer containing (a) ethylene and 1-butene or (b) ethylene and 1-hexene, as comonomers having MFR L (Melt Flow Rate according to ISO 1133, condition L, at 230° C. and 2.16 kg load) from about 1 to about 20 g/10 min; and xylene solubles measured at 25° C. from about 3 wt % to about 30 wt %, based upon the weight of the propylene terpolymer.