This is too tall but perhaps you can cut it to fit.

https://trashcansunlimited.com/17-gallon-skinny-plastic-liner-for-metro-and-kaleidoscope-recycle-bins/

What about this one: http://www.homedepot.com/p/Knape-Vogt-16-in-H-x-14-in-W-x-7-in-D-Plastic-20-Qt-Replacement-Pull-Out-Trash-Can-in-White-QT20PB-WH/203303168

Thank you - Two great options!

The pull out hardware itself is the issue more than the can.

Is the opening 9"? Along the lines of Sophie Wheeler, you'll have to have something for the can to sit in that will take up some of the width. I'm going thru these calculations for a similar project except my space is just shy of 11"

DH is in charge of construction. He built and installed new drawer boxes when he converted other cabinets to drawer bases, so he has worked out a system. I think it will be a shallow and narrow drawer, into which we will set a tall & narrow trash can like the ones posted above. Or, if we only find a short and narrow can, he may raise the bottom so we can store trash bags below the can. We recycle and compost, so we can get away with a smaller trash receptacle. I don't mind changing the bag more frequently.

There are other places for a can; we currently have a freestanding simple human step can at the end of the peninsula. The idea is to get some use out of this narrow cabinet (currently home to a basket of batteries and other clutter), and to free up floor space. Thanks for the input everyone!

https://www.build.com/rev-a-shelf-rv-814pb/s849414?intcmp=recs~item_page.rr4~ClickCP~Rev-A-Shelf~revashelfrv814pb