SOLUTION: What is the length of the diagonal of a 10-cm cube? Show your work.

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Question 195238: What is the length of the diagonal of a 10-cm cube? Show your work.
Answer by solver91311(24713) About Me  (Show Source):
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You might need to draw yourself a picture to verify this, but the diagonal of a cube forms the hypotenuse of a right triangle whose legs are one side of the cube and the diagonal of one of the faces of the cube. So if a cube has a side length s, then the diagonal of a face is:



So then the diagonal of the cube is:



So for your 10cm cube, the diagonal is



John