how many squares are there in a chess board

how many squares are there in a chess board

1 hour ago 2
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A standard chessboard has 204 squares in total if you count all the squares of different sizes, not just the 64 individual 1x1 squares. This includes:

  • 64 of size 1x1
  • 49 of size 2x2
  • 36 of size 3x3
  • 25 of size 4x4
  • 16 of size 5x5
  • 9 of size 6x6
  • 4 of size 7x7
  • 1 of size 8x8

The total is the sum of the squares of the numbers from 1 to 8: 64+49+36+25+16+9+4+1=20464+49+36+25+16+9+4+1=20464+49+36+25+16+9+4+1=204 This formula for the total is the sum of squares of the first 8 natural numbers.

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