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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?

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