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Solid 3Dhard
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A cube has vertices at (0,0,0)(0,0,0)(0,0,0) and (k,k,k)(k,k,k)(k,k,k). A plane x+y+z=ax+y+z=ax+y+z=a passes through the cube. If a=1.5ka=1.5ka=1.5k, what is the shape of the cross-section?