diff --git a/Intersections_3/include/CGAL/Intersection_traits_3.h b/Intersections_3/include/CGAL/Intersection_traits_3.h
index bb843288f1d..c49fc277357 100644
--- a/Intersections_3/include/CGAL/Intersection_traits_3.h
+++ b/Intersections_3/include/CGAL/Intersection_traits_3.h
@@ -179,6 +179,7 @@ struct Intersection_traits<K, typename K::Iso_cuboid_3, CGAL::Bbox_3>
 
 
 
+
 // Iso_cuboid_3 Point_3, variant of one
 template<typename K>
 struct Intersection_traits<K, typename K::Iso_cuboid_3, typename K::Point_3>  {
@@ -226,6 +227,44 @@ struct Intersection_traits<K, typename K::Triangle_3, typename K::Iso_cuboid_3>
   typedef typename boost::optional< variant_type > result_type;
 };
 
+// Bbox_3 Plane_3, variant of 4
+template<typename K>
+struct Intersection_traits<K, typename CGAL::Bbox_3, typename K::Plane_3>  {
+  typedef typename
+  boost::variant< typename K::Point_3, typename K::Segment_3,
+  typename K::Triangle_3, std::vector<typename K::Point_3> > variant_type;
+
+  typedef typename boost::optional< variant_type > result_type;
+};
+
+template<typename K>
+struct Intersection_traits<K, typename K::Plane_3, typename CGAL::Bbox_3>  {
+  typedef typename
+  boost::variant< typename K::Point_3, typename K::Segment_3,
+  typename K::Triangle_3, std::vector<typename K::Point_3> > variant_type;
+
+  typedef typename boost::optional< variant_type > result_type;
+};
+
+// Bbox_3 Triangle_3, variant of 4
+template<typename K>
+struct Intersection_traits<K, typename CGAL::Bbox_3, typename K::Triangle_3>  {
+  typedef typename
+  boost::variant< typename K::Point_3, typename K::Segment_3,
+  typename K::Triangle_3, std::vector<typename K::Point_3> > variant_type;
+
+  typedef typename boost::optional< variant_type > result_type;
+};
+
+template<typename K>
+struct Intersection_traits<K, typename K::Triangle_3, typename CGAL::Bbox_3>  {
+  typedef typename
+  boost::variant< typename K::Point_3, typename K::Segment_3,
+  typename K::Triangle_3, std::vector<typename K::Point_3> > variant_type;
+
+  typedef typename boost::optional< variant_type > result_type;
+};
+
 
 // Point_3 Line_3, variant of one
 template<typename K>
diff --git a/Intersections_3/include/CGAL/Intersections_3/Bbox_3_Plane_3.h b/Intersections_3/include/CGAL/Intersections_3/Bbox_3_Plane_3.h
index 639a7986aee..c6fd821083e 100644
--- a/Intersections_3/include/CGAL/Intersections_3/Bbox_3_Plane_3.h
+++ b/Intersections_3/include/CGAL/Intersections_3/Bbox_3_Plane_3.h
@@ -27,6 +27,7 @@
 #include <CGAL/Plane_3.h>
 
 #include <CGAL/Intersections_3/internal/Bbox_3_Plane_3_do_intersect.h>
+#include <CGAL/Intersections_3/internal/Iso_cuboid_3_Plane_3_intersection.h>
 
 
 namespace CGAL {
@@ -43,6 +44,23 @@ bool do_intersect(const Plane_3<K>& a,
   return K().do_intersect_3_object()(a, b);
 }
 
+template<typename K>
+typename Intersection_traits<K, typename K::Plane_3, Bbox_3>::result_type
+intersection(const CGAL::Bbox_3& box,
+             const Plane_3<K>& pl) {
+  typename K::Iso_cuboid_3 cub(box.xmin(), box.ymin(), box.zmin(),
+                   box.xmax(), box.ymax(), box.zmax());
+  return typename K::Intersect_3()(cub, pl);
+}
+
+template<typename K>
+typename Intersection_traits<K, typename K::Triangle_3, Bbox_3>::result_type
+intersection(const Plane_3<K>& a,
+             const CGAL::Bbox_3& b) {
+  return intersection(b,a);
+}
+
+
 }
 
 #endif // CGAL_INTERSECTIONS_3_BBOX_3_PLANE_3_H
diff --git a/Intersections_3/include/CGAL/Intersections_3/Bbox_3_Triangle_3.h b/Intersections_3/include/CGAL/Intersections_3/Bbox_3_Triangle_3.h
index c7d5a122a9e..33fb3bc1717 100644
--- a/Intersections_3/include/CGAL/Intersections_3/Bbox_3_Triangle_3.h
+++ b/Intersections_3/include/CGAL/Intersections_3/Bbox_3_Triangle_3.h
@@ -27,6 +27,7 @@
 #include <CGAL/Triangle_3.h>
 
 #include <CGAL/Intersections_3/internal/Bbox_3_Triangle_3_do_intersect.h>
+#include <CGAL/Intersections_3/internal/Iso_cuboid_3_Triangle_3_intersection.h>
 
 namespace CGAL {
 
@@ -42,6 +43,21 @@ bool do_intersect(const Triangle_3<K>& a,
   return K().do_intersect_3_object()(a, b);
 }
 
+template<typename K>
+typename Intersection_traits<K, typename K::Triangle_3, Bbox_3>::result_type
+intersection(const CGAL::Bbox_3& box,
+             const Triangle_3<K>& tr) {
+  typename K::Iso_cuboid_3 cub(box.xmin(), box.ymin(), box.zmin(),
+                   box.xmax(), box.ymax(), box.zmax());
+  return typename K::Intersect_3()(cub, tr);
+}
+
+template<typename K>
+typename Intersection_traits<K, typename K::Triangle_3, Bbox_3>::result_type
+intersection(const Triangle_3<K>& a,
+             const CGAL::Bbox_3& b) {
+  return intersection(b,a);
+}
 
 } // namespace CGAL
 
diff --git a/Intersections_3/include/CGAL/Intersections_3/internal/Iso_cuboid_3_Triangle_3_intersection.h b/Intersections_3/include/CGAL/Intersections_3/internal/Iso_cuboid_3_Triangle_3_intersection.h
index a04a1978908..0e8f1ebc186 100644
--- a/Intersections_3/include/CGAL/Intersections_3/internal/Iso_cuboid_3_Triangle_3_intersection.h
+++ b/Intersections_3/include/CGAL/Intersections_3/internal/Iso_cuboid_3_Triangle_3_intersection.h
@@ -162,8 +162,6 @@ intersection(
     Poly clipped;
     clip_poly_halfspace<K>(poly, planes[i], clipped);
     poly = clipped;
-    for(auto p : poly)
-      std::cout<<p<<std::endl;
   }
 
   switch(poly.size())
diff --git a/Intersections_3/test/Intersections_3/test_intersections_3.cpp b/Intersections_3/test/Intersections_3/test_intersections_3.cpp
index cace6db9c1b..bd045f7b2aa 100644
--- a/Intersections_3/test/Intersections_3/test_intersections_3.cpp
+++ b/Intersections_3/test/Intersections_3/test_intersections_3.cpp
@@ -1013,12 +1013,148 @@ struct Test {
       CGAL_assertion(poly->size() == 4);
       for(auto p : *poly)
       {
-        std::cout<<p<<std::endl;
         CGAL_assertion(tr.has_on(p) && cub.has_on_boundary(p));
       }
     }
   }
 
+  void Pl_Box(bool is_exact)
+  {
+    std::cout << "Plane_3 - Bbox_3\n";
+
+    Bbox cub(1,1,1,2,2,2);
+
+    if(is_exact)
+    {
+      check_no_intersection (cub, Pl(P(3,0,0),
+                                     P(3,1,0),
+                                     P(3,0,1)));
+
+      //edge
+      check_intersection (cub, Pl(P(1,1,1), P(1,2,1), P(1.5,0,0)),
+                          S(P(1,2,1), P(1,1,1)));
+      //face
+      typedef typename CGAL::Intersection_traits<K,
+          typename K::Plane_3,
+          Bbox>::result_type Res;
+      Res res = CGAL::intersection(cub, Pl(P(1,1,1), P(1,2,1), P(1,2,2)));
+
+      const std::vector<P>* poly = boost::get<std::vector<P> >(&*res);
+      CGAL_assertion(poly != nullptr);
+      CGAL_assertion(poly->size() == 4);
+      for(auto p : *poly)
+      {
+        CGAL_assertion(p.x() == 1);
+      }
+      res = CGAL::intersection(cub, Pl(P(1,1,1), P(1,2,1), P(2,2,2)));
+      poly = boost::get<std::vector<P> >(&*res);
+      CGAL_assertion(poly != nullptr);
+      CGAL_assertion(poly->size() == 4);
+      //vertex
+      check_intersection (cub, Pl(0.5, -0.5, -0.5, 0),
+                          P(2,1,1));
+      //triangle
+
+      check_intersection (cub, Pl(P(2, 1.66, 2),
+                                  P(1.66,2,2),
+                                  P(2,2,1.66)),
+                          Tr(P(2, 2, 1.66),
+                             P(1.66,2,2),
+                             P(2,1.66,2)));
+
+      //random
+      Pl pl(0.265189, 0.902464, 0.33946,  -2.47551);
+      res = CGAL::intersection(cub, pl);
+      poly = boost::get<std::vector<P> >(&*res);
+      CGAL_assertion(poly != nullptr);
+      CGAL_assertion(poly->size() == 5);
+      for(auto p : *poly)
+      {
+        CGAL_assertion(pl.has_on(p));
+      }
+    }
+    else
+    {
+      CGAL::intersection(cub, Pl(P(1,1,1), P(1,2,1), P(1.5,0,0)));
+      //face
+      typedef typename CGAL::Intersection_traits<K,
+          typename K::Plane_3,
+          Bbox>::result_type Res;
+      Res res = CGAL::intersection(cub, Pl(P(1,1,1), P(1,2,1), P(1,2,2)));
+      res = CGAL::intersection(cub, Pl(P(1,1,1), P(1,2,1), P(2,2,2)));
+      CGAL::intersection (cub, Pl(0.5, -0.5, -0.5, 0));
+      CGAL::intersection (cub, Pl(P(2, 1.66, 2),
+                                  P(1.66,2,2),
+                                  P(2,2,1.66)));
+      Pl pl(0.265189, 0.902464, 0.33946,  -2.47551);
+      res = CGAL::intersection(cub, pl);
+    }
+  }
+
+  void Box_Tr(bool is_exact)
+  {
+    std::cout << "Triangle_3 - Cuboid_3\n";
+
+    Cub cub(P(1,1,1), P(2,2,2));
+
+    check_no_intersection(cub, Tr(P(1.1, 2,0),
+                                  P(2, 3, 1),
+                                  P(4, 5, 6)));
+
+    //tr in a face
+    check_intersection(cub, Tr(P(1,1.1,1),
+                               P(1,1.5,1),
+                               P(1,1,1.1)),
+                       Tr(P(1,1.1,1),
+                          P(1,1.5,1),
+                          P(1,1,1.1))
+                       );
+    //face in a tr
+
+    typedef typename CGAL::Intersection_traits<K,
+        typename K::Triangle_3,
+        typename K::Iso_cuboid_3>::result_type Res;
+    Tr tr(P(-3, -3, 1), P(3,-3,1), P(1.5,6,1));
+    Res res = CGAL::intersection(cub, tr);
+    if(is_exact)
+    {
+      std::vector<P>* poly = boost::get<std::vector<P> >(&*res);
+      CGAL_assertion(poly != nullptr);
+      CGAL_assertion(poly->size() == 4);
+      for(auto p : *poly)
+      {
+        CGAL_assertion(tr.has_on(p) && cub.has_on_boundary(p));
+      }
+    }
+
+    //tr adj to a point
+
+    check_intersection (cub, Tr(P(1, 0.5, 0.5),
+                                P(3, 2, 1),
+                                P(3, 1, 2)),
+                        P(2,1,1));
+    //tr adj to an edge
+    check_intersection (cub, Tr(P(1,0,4), P(2,1,0), P(4,3,0)),
+                        S(P(2,1,2), P(2,1,1)));
+    //tr inside
+    check_intersection (cub, Tr(P(1.1,1.1,1.1), P(1.8,1.8,1.8), P(1.5,1.8,1.1)),
+                        Tr(P(1.1,1.1,1.1), P(1.8,1.8,1.8), P(1.5,1.8,1.1)));
+    //tr through
+    tr = Tr(P(2, 4, 2),
+           P(1, 3.5, -0.5),
+           P(1, -1, 1));
+    res = CGAL::intersection(cub, tr);
+    if(is_exact)
+    {
+      std::vector<P>* poly = boost::get<std::vector<P> >(&*res);
+      CGAL_assertion(poly != nullptr);
+      CGAL_assertion(poly->size() == 4);
+      for(auto p : *poly)
+      {
+        CGAL_assertion(tr.has_on(p) && cub.has_on_boundary(p));
+      }
+    }
+  }
 
 
   void run(bool is_exact = false)
@@ -1049,6 +1185,8 @@ struct Test {
     Tet_Tr(is_exact);
     Pl_Cub(is_exact);
     Cub_Tr(is_exact);
+    Pl_Box(is_exact);
+    Box_Tr(is_exact);
     //@}
 
         Bbox_L();