Question

Take a square sheet of paper 20 cm by 20 cm, cut identical squares from each corner, and fold up the flaps to make a box (without a lid). What is the volume of the box? What different volumes can you make by varying the size of the squares you cut of?
Task: what is the maximum possible volume of this type of box that can be made from a 20 cm by 20 cm square of paper?

Answer 1

The maximum possible volume of this type of box that can be made from a 20 cm by 20 cm square of paper is 512cm³.

How to calculate the volume?

From the information, when the side of 1cm are cut, this will become an open box. The volume will be:

= 18 × 18 × 1

= 324cm³

Also, when 2cm is cut, the volume will be:

= 16 × 16 × 2

= 512cm³

Learn more about volume on:

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