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Question Number 5543 by Rasheed Soomro last updated on 19/May/16

$$\bullet \mathrm{What}\mathbf{plane}\mathbf{geometrical}\mathbf{figures}$$$$\mathrm{could}\mathrm{be}\mathrm{produced}\mathrm{by}\mathrm{joining}$$$$\mathbf{vertices}\mathbf{of}\mathbf{a}\mathbf{cube}?$$$$(\mathrm{for}\mathrm{example}:\mathrm{square})$$$$\bullet \mathrm{What}\mathrm{largest}\mathrm{area}\left(2\mathrm{dimensional}\right)\mathrm{can}\mathrm{be}\mathrm{obtained}$$$$\mathrm{by}\mathrm{joining}\mathrm{vertices}\mathrm{of}\mathrm{a}\mathrm{cube}\mathrm{when}\mathrm{its}\mathrm{side}\mathrm{is}\mathrm{x}?$$

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