This is My Box!

Using grid paper measuring 25 x 20 cm, construct an open-topped box which will contain the maximum (whole) number of centimeter cubes.

• Organize your findings (spreadsheets are great for this).
• Describe your procedure.

Demonstrate how you know your box holds the greatest possible number of cubes.

Would the optimum dimensions be the same if you were filling the box with 1/2-centimeter cubes?

Possible extension:

• If you are not limited to centimeter cubes, or 1/2-cm cubes, can the volume be maximized even further?