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Hilda plans to display in a clear cube the needle betsy ross used to sew the first american flag. the needle will fit exactly as the diagonal of the cube. if the side length of the clear cube is startroot 3 endroot inches, and the diagonal of a face of the cube is startroot 6 endroot inches, what is the length of the needle? startroot 6 endroot inches 3 inches 3 startroot 2 endroot inches 6 inches

Sagot :

mickymike92

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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nikolaychuknadea

Answer:

Its B  3in

Explanation:

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