Andy,
Do you mean the cantilever-type box?
I've just checked, and the older TRC3 charger won't fit in, it's about 8-10mm too wide.
The new slimline charger however will fit, in either the top or bottom sections:
[attachimg=1]
[attachimg=2]
My charger is hard-wired into my drill box, so I can't shut either section completely because of the cable, but I think they will both shut with the charger in - the raised ribs that guide the battery in are the highest point on the charger, and they might just touch the lid. If they do, it should flex enough to not worry about.
Not sure why you'd want to put the charger & bits in there though - the drill won't fit in it, so you'd need an additional sys of some kind to put that in...
Jonathan