If the rectangle and square are cut along the lines indicated below then the number in each subsquare indicates which face of a standard die that subsquare will be folded onto.
+--+--+--+--+
| 1 2 6 5|
+--+--+--+ +
| 1 4 6 3|
+--+--+--+--+
+--+--+--+
| 6 4 4|
+ +--+ +
| 6| 1 2|
+ +--+--+
| 5 5 3|
+--+--+--+
More solutions can be found in the comments, including this one by Gamer where no cuts need to be made. |