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Well technically there are 204 squares in total 8x8=1 7x7=4 6x6=9 5x5=16 4x4=25 3x3=36 2x2=49 1x1=64 thus 1+4+9+16+25+36+49+64=204 squares
There are 64 squares on a chessboard. It is true that there is 64 squares in a chess board but there really is 204 1X1 squares 8x8=64 2x2 squares 7x7=49 etc etc 204 the formula is n = n(n+1)(2n+1) divide by 6 this works for all sizes In addition, you can visually see a proof of this at the related link below. This simulation gives you the ability to change the board's width and height.
64^3 is equivalent to 262,144 or 64*64*64
8 * 8 = 64, 4 * 16= 64, 2 * 32 = 64, 64 * 1 = 64
64 squared (64 x 64) is 4,096.