For the Meta Quest 3 (512 GB) VR headset, here are the answers to your questions:

- USB-C cable for computer connection: No, the USB-C cable for computer connection is not included in the box. You will need to purchase a USB-C cable separately, such as the Oculus Link cable, to connect the headset to your computer.

- Hand Controls: Yes, hand controls, specifically the Meta Quest Touch Plus controllers, are included in the Quest 3 (512GB) VR headset box.