What is the length (in metres) of the longest rod that can be placed in a room which is 2 metres long, 2 metres broad and 6 metres high? ?->(Show Answer!)

1. What is the length (in metres) of the longest rod that can be placed in a room which is 2 metres long, 2 metres broad and 6 metres high?

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By: anil on 05 May 2019 02.27 am

Length = $$l=2$$ m, Breadth = $$b=2$$ m and Height = $$h=6$$ m Length (in metres) of the longest rod that can be placed in the room is its diagonals. => Diagonal = $$d=sqrt{l^2+b^2+h^2}$$ => $$d=sqrt{(2)^2+(2)^2+(6)^2}$$ => $$d=sqrt{4+4+36}=sqrt{44}$$ => $$d=2sqrt{11}$$ m => Ans - (B)

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