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Broken Device

This chamber requires the utilization of some glitches still remaining in the game to solve.

HINT for accessing the funnel: While you can precision-jump-and-aim into the glass tunnel to get a portal right next to the funnel, the far easiest way is portal-bump.
HINT explaining the above hint: Just put a portal right beside the glass, and try to place another portal in between of the portal and the glass, where there is no room. The portal will be "bumped" across the glass.

HINT for retrieving the cube: Seam glitch
HINT explaining the above hint: There is a portalable surface on top of the cube. You can place a portal to that surface by shooting in between of the seams of the glass panels. It may take a few dozen tries, as the gap is very narrow, almost too small to be seen, but it is definitely there.

HINT for reaching the exit: Funnel-fly glitch.
HINT explaining the above hint: You need to use the funnel-fly glitch. To perform this glitch, you must place the funnel at such location that the following three conditions are met:
1. You must be able to walk into the funnel (do not jump). I.e. the funnel cannot be higher than about 0.7 walls.
2. While in the funnel, your feet must not reach ground. I.e. the funnel cannot be lower than about 0.3 walls.
3. Your head must not be bumping into ceiling, or you won't be able to fly upwards.
Now enter the funnel, remembering to not leave any possessions behind, and wait until come to a full and complete halt (about 5 seconds after you rest against the wall). Now begin crouching (you should hear the enter-funnel sound effect), and wait again until you come to a full and complete halt.
You can use the "cl_showpos 1" console command to get an accurate reading of your velocity at any given time.
Once you are crouching and fully and completely stopped, aim sideways and up and begin floating out from the funnel. Keep crouching while you do this. You should now be able to float anywhere you want. You will keep elevating at the rate you began elevating, and you cannot ever change your elevation rate, so be sure to know where you are going.

HINT for activating the button next to the exit: You remembered to take your possessions with you, did you?
HINT explaining the above hint: Just manhandle the button with your cube. Push the cube against the button while you move towards the exit.

HINT... if you miss the exit: The flying glitch state ends, with you falling normally, whenever any of the following happen:
1. You stop crouching
2. You land
3. The funnel that you entered is no longer there (for example, you move the portals).

Walkthrough/solution video: http://www.youtube.com/watch?v=fJd60da3rr0