Pass a plane through a cube so that the section formed will be a regular hexagon. If the side of the cube is 4cm, find the area of the section.

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Pass a plane through a cube so that the section formed will be a regular hexagon. If the side of the cube is 4cm, find the area of the section.

Mathematics
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watch this first http://www.youtube.com/watch?v=tBCwIO2rtPY
..i've watched it but i can't answer my problem through this video..
it looks like the sides of the hexagon are produced by a line joining the midpoints of the sides of the cube, so the sides of the hexagon will be sqrt(2^2 + 2^2) = sqrt8

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..may i know how to get the area of regular hexagon through an illustration?? please..

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