Dec 6, 2010

How many squares are there in a Chess board ?

When you are asking this question to any people, they immediately reply you as 64. But people forget that even the chess board is a square. In addition to that, four squares can form a square.. Like this it comes in a combination way. So, the calculation goes like this

  • Number of Squares in Chess board = ( (n * (n+1) * (2n+1) ) / 6 )
  • For Chess board, n=8
  • Number of Squares = (8 * 9 * 17 ) / 6 = (72 * 17) / 6 = 12 * 17 =204
So, Number of Squares in Chess board = 204 Squares.

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