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(18/3)*(12/3)*(9/3) = (6)(4)(3) = 72 cubes can be cut out.
It's because we consider 3 cm as one unit.
Just as 3×3×3 dimension cube consists of 27 cubes of edge length 1cm which is same as one cube of edge length 3cm.
Hence, 18×12×9 dimension cuboid consists of 1944 cubes of edge length 1cm which is same as 72 cubes of edge length 3cm.

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18/3 × 12/3 × 9/3 = 6 × 4 × 3 = 72 therefore 72 cubes can be made