Snap, always been intrigued by the pagodas. I fancied doing the National Trust tour some time but have heard that you're somewhat restricted in where you can actually go once on site.
In terms of the white wall tiles, those look like mineral fibre tegular ceiling tiles that somebody's mounted on a wall to absorb sound. By spacing them off the wall you create a void behind the tile so that any sound passing through a hole is absorbed by its back face. Suspect that space was used as a generator or compressor room.
You could always sneak off
Ah yeah now you mention it, the floor would indicate such uses.