Same question as others - a 3 foot wide swale with a depth of 1 foot, or a 3 foot wide by 1 foot deep ditch? If a swale, then the reply by Glenn is right on (I've done it, same way, and it works well - no steep sides to erode). If a ditch, a backhoe is ideal, but it costs a bit. I've used my FEL, which digs about 1.5 - 2 feet into the ground, working on one side of the ditch to get about 2.5 feet of the width, and then running the tractor around to the other side (can take a while if you've a long ditch to dig) to access another 2.5 feet (for total ditch width of about 5 feet, max; I've an
L3410). It's sure not a neat as a backhoe, and it leaves some loose dirt in the center of the ditch.
This stuff is fresh in my mind, as I spent most of last weekend trying to construct a drainage ditch through a 20-30 foot wide boggy part of my property. Box blade didn't work - tractor would bog down with even minor amounts of dirt in the box. Middle buster would have just churned the muck. So, I had to work from the sides with the FEL, and I REALLY got tired of having to also use that blade and 4WD to back out of the bog, near-mud up to my front axle (if I got my back tires deeply into that stuff, I'd still be out there trying to extricate my tractor).
So, I got about 100 feet, of a ditch about 1.5 feet deep by 2 feet wide - and both the tractor and I needed a good bath.
Next weekend I'm renting a back hoe.