A box is to be filled with cartons. Each carton is a cube that measures $$\(4 \mathrm{~cm}\)$$ by $$\(4 \mathrm{~cm}\)$$ by $$\(4 \mathrm{~cm}\)$$. The box is a cuboid that measures $$\(60 \mathrm{~cm}\)$$ by $$\(48 \mathrm{~cm}\)$$ by $$\(40 \mathrm{~cm}\)$$. Work out the number of cartons that can completely fill the box.

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