The additional points make these sockets easier to connect with the heads of fasteners. This is ideal if you are trying to work on a fastener that is hard to see or you cannot see at all. 12 point sockets are also great for use in tight spaces as they allow you to connect to a fastener at more angles.
What's better 6-point or 12 point sockets?
Answer: It’s true that 12-point sockets are fine for most lightweight repairs, but heavy wrenching calls for a six-point socket. A six-point socket is much less likely to slip off a stubborn fastener or round over the corners. Here’s why: (1) Six-point sockets have thicker walls, so they’re less likely to flew.
Why are 12 point sockets cheaper?
As far as your question it is because a twelve point can also be used on a six point bolt typically without rounding it off so it is cheaper for the consumer to buy a socket set that works with more bolts.