The largest cube that fits in a corner of a 20×16×12 cm cuboid has side = min(20, 16, 12) = 12 cm.<br><br>
Volume of cuboid = 20 × 16 × 12 = 3,840 cm&sup3;<br>
Volume of carved cube = 12&sup3; = 1,728 cm&sup3;<br><br>
Remaining volume = 3,840 − 1,728 = 2,112 cm&sup3;<br><br>
Final Answer: 2,112 cm&sup3;