Checked on your motherboard GA-X58A-UD3R, and it shows 6 SATA 3Gb/s ports on the Intel southbridge, and 2 SATA 6Gb/s ports (SATA3_ 6 and SATA3_7 ports) from the Marvel 9128 controller. So the OCZ Vertex 3 will perform at the SATA III rates.
Depends if your are using Win-XP or Win-7, and if you were considering using the SSD as your system drive with a fresh install. It can be tricky (fussy) loading the Marvel driver in initially so it is functional when you install the OS on the SSD, connected to the Marvel controller.
But it will work OK. Check the manual page 10 where it lists the specs.
Very impressive SSD!