Can Cat6 UTP stranded cable fit regular Cat6 Jacks?

Can Cat6 UTP stranded cable fit regular Cat6 Jacks?

I have some stranded Cat6 UTP cable and want to use it to wire an Ethernet connection to a faceplate in a wall. Normally you use Solid rather than Stranded cable for this and I am concerned that the Jacks in the faceplate won't take the stranded cable or the connecting tools won't work properly.