To quote pca:

"Very, very close. The original is 82mm x 82mm x 35mm, and my one is 82mm x 80mm x 55mm. "

Don't think you'll be able to fit it into the sled in the first place due to the height.
But IIRC there's nothing that stops you from fitting it into another box, as you could hook the cards together with wires instead. You might be able to fit a slimmer but longer box through the hole.

/Michael