Hi!

@You : "...I thought this would be also possible with the paint bucket tool..."

This is true but there's a workaround.

Instead of Paint Bucket you can use the Standard Freeze tool with "Stroke Mode" set to "Rectangular" "Ignore Back faces" off , View Mode to "Parallel" and
playing with the different applying method.

Please watch this video : http://take.ms/XhWvv

Ciao!