Surface area of cube = 6a&sup2;<br>
6a&sup2; = 486 &rArr; a&sup2; = 81 &rArr; a = 9 cm<br><br>
Original volume = 9&sup3; = 729 cm&sup3;<br><br>
Volume of hole drilled = 5 × 3 × 9 = 135 cm&sup3;<br><br>
Remaining volume = 729 − 135 = 594 cm&sup3;<br><br>
Final Answer: 594 cm&sup3;