Well not quite, you will have some boil off, so you want to start off with more than 10g. In addition, the grain will absorb liquid, normally, for me slightly more than .33qt/lb. I normally start my boil with 6.5-7 gal, depending upon how much hops I'm using. (also I normally try to get 5.25 gal in the fermenter) Therefore, you have your strike water (6.81)- grain absorption (approx 1.71)+ sparge additions(x) = volume into kettle(13)
volume into kettle - boil off - loss to trub = volume into fermenter
So say you want to get 13 gal into your kettle then you want to use approximately 7.9 gal of sparge water. It is always better to have too much sparge water on hand than too little.
If you do not loose much to trub and boil-off then you may want to adjust your numbers. ( I have a fairly high boil-off because I use two pots for a split boil)