Having removed the air box on our 2005 XC70 in order to install a new headlight bulb, I can say it is easier said than done. Getting it out is basically a snap fitting that can be yanked on, but getting the darn thing to snap back into position actually caused me to invent a few new words, not sure if they were German or Swedish, but you get the idea.
I posted this same question after trying the method hat always worked for me on the 850s. Long ratchet extension and deep well socket to compress the tabs. I never got much response, so armed with my ratchet extension and socket, I went to work again, and got it.
I used a 10" - 12" long 1/4" ratchet extension and 11mm ? deep well socket and voila. It takes some finesse, but after I got it, it seemed so easy.
Do the three that hold the bottom down first, and then pull the air-box out of the sheet metal on the side.
If you break a tab, I don't think that it is the end of the world, as I am sure that is a replaceable part.
I just had to do this to my wife's car to replace a bulb.
Removed top and filter first.
Used two long needle nose pliers to compress the plastic snap plugs (whatever you want to call them). I squeezed all four prongs together and then lifted up on the air box. Did this to 2 of three snap plugs leaving the one toward the driver's wheel/back of the car connected. Once the two were disconnected, I slid the box out w/ the third snap plug still connected.
Reinstall was simple. Slide it back in and then push down when everything was aligned.