A cube is inscribed in a sphere of diameter 1 metre.

What is the surface area of the cube?

Kindly provided by UKMT A cube is inscribed in a sphere of diameter 1 metre. What is the surface area of the cube?
8 Comments
Andrey Dyukmedzhiev
6/4/2017 09:10:15 am
The space diagonal of the cube is a diameter of the sphere as shown here:
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Paul
6/4/2017 10:22:20 am
Thanks for the silence, Andrey :-)
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Anand Mehta
6/4/2017 10:16:17 am
SPOILER -- SPOILER --SPOILER -- SPOILER -- SPOILER -- SPOILER --
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Paul
6/4/2017 10:23:20 am
Each to their own, Anand.
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Simon Geard
6/4/2017 12:27:22 pm
The cube is inscribed in the sphere so its diagonal is = 1m
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Paul
8/4/2017 06:35:02 am
Thanks Simon.
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Ashraf Ghanem
7/4/2017 07:09:04 am
2 m squared
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Paul
8/4/2017 06:34:34 am
Thanks Ashraf, but it would be nice to see your method...
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