Did you do the formatting of this HD? Does you computer Bios recognize Large Capacity HD's ?
Try this.
Download GParted bootable iso, burn it to cd using Imgburn at 4x speed.
Boot with it; click your 3tb disk; Tools- Convert partition table - Advanced - GPT - Okay when done.
Remove the cd, boot up normally and go to Disk Management; right-click the drive to initialize as simple volume, and format it NTFS. This should give you the 3 tb.
On another matter; you have two partitions with the active flag. That generally is not a good idea. Leave the System Reserved flag alone, but kill active on the C: partition (right click for that option).
My apologies; instructions were for the older version in my library of tech discs.
Go to Device tab - Create Partition Table - Advanced - click down arrow - choose GPT.
Making the assumption that GPartEd did the partition table work (10-15 minutes), I've got nothing else to offer to resurrect you're h/d to 3tb.
If nobody else comes on board to try to fix this, RMA it. When you get the replacement, run Gparted to get the GPT; then reboot and initialize it & format it in Disk Management.
By the way, you never answered Doc Brown's question about your BIOS seeing the 3tb as 3tb when you first boot up with it attached to the pc.
Tap the "hot" key (usually Del, Esc, F2,) to enter BIOS when you're first booting up. The first page usually lists the h/d's. What does it say about the 3tb size?
It would be helpful if you filled in your specs.
Check your mobo manufacturer's support site for a possible BIOS upgrade.