Cutting a mesh with a plane of limited size?

I know that MeshGeometryHelper has the Cut method that can cut a mesh against a plane.
Obviously, that function uses the traditional math definition of a plane (a plane which has an infinite size).
Is there an easy way to adapt that method to perform a cut using a plane of limited size? In other words, let's say we have the point and the normal of the plane as well as its width and height. How could we cut only a part of the mesh that intersects with this "limited" plane?
Is there a straightforward way of doing this?