diff --git a/cadquery/cq.py b/cadquery/cq.py
index fcaf5b62..982e0a47 100644
--- a/cadquery/cq.py
+++ b/cadquery/cq.py
@@ -2397,7 +2397,7 @@ class Workplane(CQ):
 
         return self.newObject([newS])
 
-    def cutBlind(self, distanceToCut, clean=True):
+    def cutBlind(self, distanceToCut, clean=True, taper=None):
         """
         Use all un-extruded wires in the parent chain to create a prismatic cut from existing solid.
 
@@ -2408,6 +2408,7 @@ class Workplane(CQ):
         :type distanceToCut: float, >0 means in the positive direction of the workplane normal,
             <0 means in the negative direction
         :param boolean clean: call :py:meth:`clean` afterwards to have a clean shape
+        :param float taper: angle for optional tapered extrusion
         :raises: ValueError if there is no solid to subtract from in the chain
         :return: a CQ object with the resulting object selected
 
@@ -2417,7 +2418,7 @@ class Workplane(CQ):
             Cut Up to Surface
         """
         # first, make the object
-        toCut = self._extrude(distanceToCut)
+        toCut = self._extrude(distanceToCut, taper=taper)
 
         # now find a solid in the chain
 
diff --git a/tests/TestCadQuery.py b/tests/TestCadQuery.py
index 939ff9eb..329f02cb 100644
--- a/tests/TestCadQuery.py
+++ b/tests/TestCadQuery.py
@@ -1699,9 +1699,15 @@ class TestCadQuery(BaseTest):
         self.assertTupleAlmostEquals(delta.toTuple(),
                                      (0., 0., 2. * h),
                                      decimal_places)
-        
+    
+    def testTaperedExtrudeCutBlind(self):
+      
+        h = 1.
+        r = 1.
+        t = 5
+      
         # extrude with a positive taper
-        s = Workplane("XY").circle(r).extrude(h, taper=5)
+        s = Workplane("XY").circle(r).extrude(h, taper=t)
 
         top_face = s.faces(">Z")
         bottom_face = s.faces("<Z")
@@ -1712,7 +1718,7 @@ class TestCadQuery(BaseTest):
         self.assertTrue(delta < 0)
         
         # extrude with a negative taper
-        s = Workplane("XY").circle(r).extrude(h, taper=-5)
+        s = Workplane("XY").circle(r).extrude(h, taper=-t)
 
         top_face = s.faces(">Z")
         bottom_face = s.faces("<Z")
@@ -1721,6 +1727,14 @@ class TestCadQuery(BaseTest):
         delta = top_face.val().Area() - bottom_face.val().Area()
 
         self.assertTrue(delta > 0)
+        
+        # cut a tapered hole
+        s = Workplane("XY").rect(2*r,2*r).extrude(2*h).faces('>Z').workplane()\
+        .rect(r,r).cutBlind(-h, taper=t)
+        
+        middle_face = s.faces('>Z[-2]')
+        
+        self.assertTrue(middle_face.val().Area() < 1)
 
     def testClose(self):
         # Close without endPoint and startPoint coincide.