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Geometry Level 3

The question you are about to read is based on our imagination but it is on the other hand real too...... so let your mind go free....

What is the maximum number of balls which can be placed around one ball of the same size so that the latter touches each of the former i.e the middle one should touch all the balls kept around it......

If you got X as your answer then, what is 1+2+3.......+(X-1)+X??

78 10 21 45

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1 solution

Jaiveer Shekhawat
Sep 29, 2014

It is common knowledge that six balls can be placed around a ball of same size but........ wait have you ever tried keeping balls above those 7 balls... if not try it ... three balls can be placed on top of those balls so that they touch the middle ball.... but wait one more time if you can keep three balls on top why can't you keep three below those 7....

Thus, total no. of balls=

12 \boxed{12}

...and the rest of the answeryou can get by adding 1 upto 12 which is 78 \boxed{78}

If you still didn't get the answer, why don't you go to your chemistry lab and go and check an atom!!

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