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Question Number 74240 by ajfour last updated on 20/Nov/19

Commented by ajfour last updated on 21/Nov/19

$$Q.73828(Ifeachfaceofouter$$$$cubecontainsonecornerof$$$$innercube,findrangeofs/a.$$$$(\mathit{s}beingsidelengthofinnercube,$$$$and\mathit{a}thatofouter.)$$

Commented by MJS last updated on 21/Nov/19

$$\mathrm{are}\mathrm{the}\mathrm{centers}\mathrm{of}\mathrm{the}\mathrm{cubes}\mathrm{identical}?$$$$\mathrm{if}\mathrm{so},\mathrm{the}\mathrm{vertices}\mathrm{of}\mathrm{the}\mathrm{inner}\mathrm{cube}\mathrm{are}\mathrm{located}$$$$\mathrm{on}\mathrm{circles}\mathrm{on}\mathrm{the}\mathrm{faces}\mathrm{of}\mathrm{the}\mathrm{outer}\mathrm{one}...$$

Commented by ajfour last updated on 21/Nov/19

$$Thequestionasksfor{s}_{min},Sir.$$$$a=1.Besideseachoutercube$$$$facesbearingonecornerof$$$$innercube,theremainingtwo$$$$corners{shouldn}^{\prime }tbeoutsidethe$$$$outercube.$$$$Inotherwords.$$$$\mathrm{Given}\mathrm{cube}\mathrm{with}\mathrm{side}\mathrm{length}\mathrm{a}=1.$$$$\mathrm{Find}\mathrm{shortest}\mathrm{edge}\mathrm{length}\mathrm{s}\mathrm{of}\mathrm{a}$$$$\mathrm{cube}\mathrm{that}\mathrm{stretches}\mathrm{from}\mathrm{each}$$$$\mathrm{face}\mathrm{of}\mathrm{the}\mathrm{outer}\mathrm{cube}\mathrm{to}\mathrm{its}\mathrm{oppo}-$$$$\mathrm{site}\mathrm{face}.$$

Answered by ajfour last updated on 21/Nov/19

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