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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
regards
Praveen

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).

cube

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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