The volume of the carton doesn't tell you the dimensions.
Without cutting up any of the little cubies, the 1000 of them could be
packed into a carton with any of these sets of dimensions:
1 x 1 x 1000
1 x 2 x 500
1 x 4 x 250
1 x 5 x 200
1 x 8 x 125
1 x 10 x 100
1 x 20 x 50
1 x 25 x 40
2 x 2 x 250
2 x 4 x 125
2 x 5 x 100
2 x 10 x 50
2 x 20 x 25
4 x 5 x 50
4 x 10 x 25
4 x 25 x 100
5 x 5 x 40
5 x 8 x 25
5 x 10 x 20
10 x 10 x 10
