Length of Pencil
Geometry
Level
2
The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm × 6 cm × 5 cm, is?
10√5
10
5√5
8
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1 solution
If rectangular box has dimensions of length=8,breadth=6 & height=5
then, maximum length of a pencil that can be kept in a box=Hypotenuse of the right angled triangle formed with height=5 and hypotenuse of the base
As hypotenuse of the base=Sqrt(8^2+6^2)=10
maximum length of a pencil=Sqrt(10^2+5^2)=Sqrt(125)=5*Sqrt(5)