The term CUTS INTO CUBES can be broken down into two crossword solutions: DIS (3 letters) and DICES (5 letters). DIS is an abbreviation for the verb 'to divide into parts or pieces, ' while DICES is the plural form of the noun 'DICE, ' which are small cubes used in board games and gambling. Therefore, the term CUTS INTO CUBES can be interpreted as dividing something into small cubes, such as food items.