http://www.kraususa.com/pdf/kbu-14-V2.pdf

Because a 36" cabinet has about 34" interior space once you subtract the walls, and the undermount sink has a lip that must fit between thise walls. The dimension of the sink is what you see after it is installed. Most sink walls are sort of tapered and an overmount sink is higher so the sink walls clear the cabinet walls. You can fit a larger overmount sink than an undermount in the same size cabinet.

Looks to me like it will fit unless your cabinets have super thick boxes.

You need room for that mounting bolt so I do not think it will fit.

You could always use a HUSH instead of sink clips.

http://www.overstock.com/Home-Garden/Kraus-30-inch-Undermount-Single-Bowl-Steel-Kitchen-Sink/3381330/product.html?recset=6dac2caf-d369-4714-9fe2-78e9af16ec78&refccid=XEKNVWUQRX2YAE2H4CJDE2D5UI&searchidx=1&recalg=63&recidx=1

This sink is the same brand and undermount. It is 1.5 inches smaller (30 inches) with squared sides and $60 more. It says the required cabinet width is 33 inches. So...you need 3 additional inches for this sink and 4.5 inches for the sink I originally asked about above. What? Why?? They are very similar sinks. I don't get it. Anyone have any insight? I really want the first sink I asked about...the 31.5". Anyone know exactly how big...long and thick...those clips are to install? There is a decent amount of space between the top of my cabinets and counter top...to fit the clip...as long as the bolt is not needing twisting quite far from the sink edge and would hit there. Also...my husband measured the inside of the cabinet for me again and promised the inside wall to wall is 35.5 exactly.

The installation instructions show what looks like quite the distance required for mounting hardware. Even if you can't understand why, there's always a reason. Do you really want to chance a hassle with granite? Once it's cut, you can't go back.

In the second one you posted it shows a different mounting system. This would account for the difference in distance required.

That sink will fit in a 36" cabinet without any problems; even a 33". Use a HUSH or a Sink Strap; disregard clips and/or manufacturer's installation instructions.

Joseph Corlett, how often do undersink mounts fail? I'm sure there are situations where they are abused but do the bolts simply wear loose and the sink drops to the bottom of the base cabinet?

Thank you everyone for your advice and information. I bought the original sink. I'm hoping we won't need the HUSH, but thankful to know there is such a thing incase we need it. Thanks again to all. We'll see how this story ends.

"Joseph Corlett, how often do undersink mounts fail?"

I've reinstalled an undermount sink to stone/estone at least once a month for the last 5 years. The problem is usually water penetration from lack of or improper sealant between the sink flange and the bottom of the stone. Clips and fasteners rust when the seal fails, then fail themselves. A leaking sink can lead to a reinforcing rod failure in granite which can cost $700.00-$3,500.00 to repair.