∴ The side length of the first cut square is 14cm, and its volume is 14? =2744 (cubic centimeter),
∴ It can be considered that there is a cuboid whose length, width and height are 17cm, 14cm and 9cm respectively.
∴ If the side length of a square cut for the second time is 9 cm, its volume is 9? =729 (cubic centimeter),
It can be considered that there is a cuboid whose length, width and height are 14cm, 9cm and 8cm respectively.
∴ If the side length of the square cut for the third time is 8 cm, its volume is 8? =5 12(cm3)，
∴ The volume of the remaining part after three cuts is: 23×17×14-(2744+729+512).
=5474-3985= 1489(cm3)。