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What is the length of the longest line that can be drawn in a 20x12x9 box? [CLOSED]

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What is the length of the longest line that can be drawn in a 20x12x9 box?

Please explain your working?

posted Dec 9, 2015 by anonymous

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1 Answer

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Let Three sides of box are
a=9
b=12
c=20

d is hypotenuse of sides b & c
d^2=b^2+c^2
d^2=(12)^2+(20)^2
d=sqrt of 544

e is the hypotenuse of sides a and d
e^2=d^2+a^2
e^2=[sqrt of 544]^2+(9^2)
e^2=544+81=625
e=25
longest line to be drawn of length 25

answer Dec 9, 2015 by Jaikumar Bhatia
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