The picture's a bit fuzzy to see exactly what's written on the front but it looks like an old IIci to me. I used to have one, it was my first Mac of my very own. 🙂
They were pre-Power Mac, introduced 1989/1990ish I think.
EDIT: I'd listen to that dynamicv if I was you, sensible chap that he is.
IIci. My first real Mac. I remember wondering back then whether I was a cretin for spending that much on a computer which would fall in value like a rock.
The visual difference between the IIcx and the IIci was the onboard video port.. which the computer you're asking about appears to have (with a Mac Video to VGA adapter plugged into it)
Click Here for more info on the IIci on LowEndMac.com