Based on the length of side of the cube given, the length of the needle is 2.28 inches.
What is the length of the needle?
The length of the side of a cube and its diagonal are related by the formula below:
[tex]Length \: of \: Diagonal = \sqrt{3s}[/tex]
where s is length of side
[tex]Side \: Length \: of \: the \: Cube = \sqrt{3inches}[/tex]
[tex]Diagonal \: of \: a \: face \: of \: the \: cube = \sqrt{6inches}[/tex]
[tex]The \: length \: of \: the \: needle = \sqrt{3\sqrt{3}} = 2.28 \: inches \\ [/tex]
Therefore, the length of the needle is 2.28 inches
Learn more about length of diagonal of cube at: https://brainly.com/question/800212
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