I completely disagree with this. When I was in high school, it was incredibly easy to get all sorts of people to talk to you (yes, girls included). If you have a problem talking to girls on your own, it's a perfect ice breaker (No, i don't mean Hi, I'm so and so, did you know I can solve a cube? I mean more like solve it in public and it'll catch people's interest).
The last...4 or so girls I've been involved with (which goes back quite a few years, the one I have now is going on a 3 year mark) all had interest in my solving ability. My current girlfriend, just happened to see my cube sitting on my desk and was like "Can you really solve that?" I'm like "Yeah why?" No way! Let me see!. You can see how it developed from there.
When I was in high school, I went to a friend's high school football game and my cube caught so much attention there. I was eventually friends with a few girls from that school, all who saw me solving my cube while walking around and thought it was pretty cool
Not to mention, I totally scored a free meal at Applebee's last week because of my cube
Moral of the story: A cube totally can be a chick magnet in it's on weird sense

Not to mention, the replies about hanging out w/the girl to have the OP be caught so he can spend time with her, brilliant idea