There are 6 numbers on a cube. Create two columns of numbers. Total of 6 cubes are used. Show all the potential dates in any given month. There is a hint to think of geometry.

1 . . . . 1

2 . . . . 2
3 . . . . 3

etc.

The days of the month are 1 - 31.

What are the potential dates?

We need more information to help you.

" There are 6 numbers on a cube."
Who decides what numbers are on the cube?

" Total of 6 cubes are used."
Does that mean the arithmetic total of the six cubes are used, or you need 6 cubes to show the year, month and day?

"Show all the potential dates in any given month."
What is the format for the date, "YY-MM-DD", "MM-DD", "MM-DD-YY", "DD-MM-YY", "DD"?
Is it one cube per digit?

That is the only information on the problem that my child brought home from school. We are baffled. We thought it was six cubes total.

Is the problem wording directly from the teacher (i.e. copied by your child), or is it a transcription of what your child related to you?

If it is the latter case, your child could call a school friend to get more information, or could talk to the teacher for details.

It came exactly that way from the teacher. I my self am a teacher and I have no clue where he was coming with this.

The thing to think of here are the days in a month whish is the hardest. They run 01 to 31 there are only two occasions when digits are repeated 11 and 22. So if we have a set of cubes

0,1,2,3,4,6,
0,1,2,7,8,5

we can do all the dates except 06. But hey if we turn the 6 over we get a 9!

To do "YY-MM-DD", we need three sets.

The geometry is a red herring unless the teacher is talking about rotation!

To create two columns of numbers on a cube, we need to consider the geometry of the cube. A cube has six faces, and each face is an individual square. Hence, each face of the cube can be represented by a number, and the two columns can be created by arranging these numbers accordingly.

To determine the potential dates in any given month, we can assign one column to represent the tens place of the dates and the other column to represent the ones place.

Let's assign the numbers 0, 1, 2, 3, 4, and 5 to the six faces of the cube. We can arrange these numbers on the cube's faces as follows:

Column 1 | Column 2
---------------------------
0 | 1
2 | 3
4 | 5

The cube's faces can be read left to right, top to bottom, to generate the potential dates in any given month. These potential dates are:

01, 02, 03, 04, 05, 12, 13, 14, 15, 23, 24, 25, 34, 35, 45

So, using the numbers on the cube's faces as columns, we can create potential dates in any given month based on the geometry of the cube.