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| Math Central | Quandaries & Queries |
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Question from Praveen, a parent: Hi, Given a Cube's diagonal, how does one find the edge of the cube. Thanks for quick response |
Hi Praveen.
Let X = the length of the edge of the cube.
Let F = the length of the diagonal on a face of the cube.
Let D = the length of the diagonal through the cube (what you are given).
Then use the Pythagorean Theorem:
D2 = X2 + F2
F2 = X2 + X2
So
D2 = X2 + (X2 + X2).
Finish by solving for X.
Cheers,
Stephen La Rocque.
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