The conventional answer to this question is 64, but that only applies to the small squares occupied by the pieces during play. The total number of squares is much higher when we consider the larger spaces formed by groupings of these smaller squares together. This is a classic counting methods problem and requires careful consideration to reach the correct answer.

How many squares are in an 8×8 chessboard?

One approach is to count all the possible ways of combining pairs of 1 x 1 squares, such as (1 e4 d5) + (2 g6 f6), and then adding up the results from each combination. This can be time-consuming and tedious, especially when we need to calculate for both white and black at the same time. Link : https://www.lakeviewchildcenter.org/

Another way to find the number of squares is to use the fact that a rectangle is formed by two vertical and two horizontal lines. The number of ways to select R x C from the chessboard is given by (9-R)*(9-C). There are 36 possible combinations, which will give us the total of 204 squares on the chess board.

Using this method can be helpful for developing an effective calculation technique for chess and other games. It can also help students develop a sense of pattern and structure in the way that numbers and other quantities are related to each other. This can lead to better understanding of the concept of arithmetic progression, which is an important part of many mathematics topics.