For a device like the Galaxy Tab 3 8.0, which was released in 2013 with Android 4.2.2 (Jelly Bean) and officially updated only to Android 4.4.2 (KitKat), TWRP is the gateway to running modern Android versions through custom ROMs. The file t310.twrp.3.1.0-1.tar.md5 is a specific build of TWRP designed exactly for your tablet.
The filename itself contains highly specific metadata that tells us exactly what the file is and how it works: t310.twrp.3.1.0-1.tar.md5
Navigate to Settings > About Device and confirm your model is exactly SM-T310 . For a device like the Galaxy Tab 3 8
Odin v3.09 or v3.12.3 (compatible with older Samsung devices). Odin v3
Press and hold the buttons simultaneously.
This is the file extension. The .tar part means it is an archive formatted for Odin (Samsung’s proprietary flashing software), and the .md5 is a checksum used to verify that the file isn't corrupted. What Does This File Do?