I noticed the boxes for the new Street Fighter amiibo were differently sized than the typical amiibo boxes so I scaled them side by side. Comparing it to the typical 7.5 inch tall box, these are going to be maybe 8.25 inches? Just some food for thought if your shelves at home don't have a ton of clearance.

Note: this is assuming they have the same width - the actual sizes could be wider, but this looks about right.