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Volume of a cube=a³
volume=12*12*12=1728 cm³
half of the volume=1728/2=864 cm³
new side(z)
z=∛864=9.5244 cm
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plz pick my answer as the best...if it helpz...
How can u cut the cube into half and get another cube and most importantly the question does not say to cut the cube into two equal halves.
Volume of each cube=(12) the whole cube
you will get 8 equal cubes
to get side of new cube 1728 divided by 8
you will  get 
now take out cube route of 216 which is 6 hence side of new cube is 6

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