SOLUTION: A rectangular block of dimension 15,25,10 is cut into an exact number of equal cubes. Find the least possible number of cubes

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Question 571570: A rectangular block of dimension 15,25,10 is cut into an exact number of equal cubes. Find the least possible number of cubes
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
5x5x5 is the largest cube you can cut so that an integer number of cubes is formed (take the GCD of 15,25,10).

Hence, there will be 3*5*2 or 30 5x5x5 cubes formed.