The diagram shows a solid wooden cuboid. Diagram NOT accurately drawn The cuboid measures $$\(65 \mathrm{~cm}\)$$ by $$\(35 \mathrm{~cm}\)$$ by $$\(45 \mathrm{~cm}\)$$. A machine cuts the cuboid to make cubes. Each cube has edges of length $$\(5 \mathrm{~cm}\)$$. Work out the maximum number of cubes that can be made from the cuboid.

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