Find out the number of squares in 8*8 chess board.

To find out the number of squares on an 8x8 chessboard, we can start by counting the number of 1x1 squares. Since the chessboard has 8 rows and 8 columns, there are a total of 8x8 = 64 1x1 squares.

Next, we can count the number of 2x2 squares. To do this, we need to consider the number of possible positions for the top-left corner of the 2x2 square. Since the chessboard has 7 rows and 7 columns where a 2x2 square can fit, there are a total of 7x7 = 49 2x2 squares.

We can continue this process for larger squares. For 3x3 squares, there are 6x6 = 36 possible positions. For 4x4 squares, there are 5x5 = 25 possible positions. And so on.

To find the total number of squares on the chessboard, we need to sum up the number of squares of each size. So, the total number of squares on an 8x8 chessboard is:

64 (1x1 squares) + 49 (2x2 squares) + 36 (3x3 squares) + 25 (4x4 squares) + 16 (5x5 squares) + 9 (6x6 squares) + 4 (7x7 squares) + 1 (8x8 square) = 204 squares.

Therefore, there are a total of 204 squares on an 8x8 chessboard.