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Sunday Puzzle-13

Written by Administrator

Sunday, 26 February 2012

Puzzle courtesy of Barry R. Clarke, columnist for The Daily Telegraph and international puzzle expert.

A prisoner requests a transfer to a cell with the maximum possible volume but unfortunately it is also the cell with the smallest window. The window is x+1 square and the cell has dimensions 3–x, 1–x, and 2–x. What is the volume that no cell can exceed?

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Comments (4)

	1. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 21:16 26 февраля 2012 г.
	V=X^3+6X^2-11X+12 Therefore V'=0 = 3X^2+12X-11 Then X=0.5 or -2.906 is nonsensical solution so X=0.5 and cell volume 8.125. Let's hope that is in meters.

	2. Written by QBrute on 12:52 01 марта 2012 г.
	I don't think 8.125 is the biggest possible volume though, even though the differential calculus says it is.

	3. Written by Mr Burns on 18:27 01 марта 2012 г.
	X=-1 V=432=24 The window is a bit small, though.

	4. Written by one on 07:48 02 марта 2012 г.
	24

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Last Updated ( Sunday, 26 February 2012 )

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