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Mathematical carton
Solution: As shown in the figure:

The surface area of this rectangular box without cover is:

S rectangular ABFE+S rectangular BCGF+S rectangular CDHG+S rectangular ADHE+S rectangular ABCD,

Also, the length of this cuboid is x cm, the width is y cm and the height is z cm.

∴S rectangular ABFE+S rectangular BCGF+S rectangular CDHG+S rectangular ADHE+S rectangular ABCD=xz+yz+xz+yz+xy=2xz+2yz+xy (square centimeter)

The paper area required by Xiaogang (excluding the joint paper) is at least 2xz+2yz+xy square centimeter.

So the answer is: 2xz+2yz+xy.

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