SOLUTION: What is the length of the diagonal of a 10-cm cube? Show your work.
Algebra.Com
Question 195238: What is the length of the diagonal of a 10-cm cube? Show your work.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
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:
^2} = \sqrt{s^2 + 2s^2} = s\sqrt{3})
So for your 10cm cube, the diagonal is
John
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