The total numbers of squares formed on the chess board is

The number of squares of any sizes in a chess board is
$\begin{array}{c}=n^2+(n-1{)}^2+(n-2{)}^2+\dots \dots .+1^2=8^2+7^2+\dots \dots \dots .+1^2\\ =\frac{n(n+1)(2n+1)}{6}=\frac{8\cdot 9\cdot 17}{6}=204\end{array}$