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.