In the US, our postal service has introduced additional rates for any items that are over 22" in length (extra $4) , and any item 30"-plus in length (extra $15).
If our shipping band setup would show MINIMUM dimensions, we would not have to display options to our buyers in shipping the DO NOT need.
For example, my store is going to show you ALL THREE Parcel Ground rates for an item that is only 4-inches long, because I cannot set a minimum to pop up just the one of the three that should apply since we can only set max dimensions. If you have a 24" item in length (say a set), you'll see TWO of the parcel ground rate options - the 22-30" rate and the 30"-plus rate.
It's really annoying... and most stores can leave that blank, of course, for when that is not needed (e.g., First Class Parcel Service). I can set minimum cost and even minimum volume, but not minimum dimensions to limit what shipping options display.
Thank you so much for considering this - please upvote using the buttons by the title or on the main Suggestions screen if you agree! :-)