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A cube of side 5m is melted to form 'x' cubes of side 1m, y cubes of side 2m and z' cubes of side 3m. If it is given that x, y and z are distinct natural numbers, find the difference between the minimum and maximum no. of total cubes which can be casted. This is the XAT Geometry-2 live class question no. 7. I think the process followed was wrong as there can't be more than one 3x3x3 cube visually in the 5x5x5 cube (As was done in the minimum case where in 27z, z was taken as 4, in 8y, y was taken as 2 and finally x was taken as 1), I agree with the maximum case where I got 85 cubes too, but the minimum case is not digestible..

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