top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

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

0 votes
95 views

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

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

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
...