Methods of constructing a printable three-dimensional (3D) model are provided. A method of constructing a printable 3D model includes constructing a ray-cast mesh representation of an object by using ray-casting on a preliminary digital 3D model of the object. Moreover, the method includes converting the preliminary digital 3D model of the object into the printable 3D model, of the object by adding, to the preliminary digital 3D model of the object, an interior surface that is based on the ray-cast mesh representation. Related devices and computer program products are also provided.