I'm not sure about a equation, but if you were to count em' up, this is what you would get:
There are 64 1x1 squares on a standard checkerboard.
There are 204 total squares on an eight-by-eight checkerboard.
64 1x1 squares,
49 2x2 squares,
36 3x3 squares,
25 4x4 squares ,
16 5x5 squares,
9 6x6 squares ,
4 7x7 squares,
1 8x8 square,
Hope this helps!
Forthfriend.
[EDIT]
Also, if you just wanted to find the number of 1x1 squares you could do;
length x width equals 'surface area' or (a x b=c ) count the squares on one side, (horozontal) this equals (a) now count the squares on the other side (vertical) this equals (b) now multiply them for a calculation of 'surface area' You can use this method to find surface area in measurements or by the count of an item.
EDIT
notice how they're all square numbers
64=8x8
49=7x7
36=6x6
25=5x5
16=4x4
9=3x3
4=2x2
1=1x1
Forever12
8x8 squares.
The square of the number of tiles on each row or column. Generally a chess board has 64 squares. This answer given above by one of our friends is true only incase of squares of same size. But as we consider all possible squares of different sizes, then it will be calcualted using the formula, 12+22+32+42+52+62+72+82
6 categories and 5 questions 30 squares
The number of squares found in a geo board is 25.
64 Squares on a Chess Board64 Squares on a Checkers Board
that equals either 64 squares on a chess board or 64 squares on a check board
A board having 15 by 15 squares has 225 squares.
64 Squares on a Chess/Checkers Board
A chess board has 64 squares.
If you're talking about squares on the Chess board, then impossible. 9x9 is 81 and 10x10 is 100. If you're talking about the number of squares on 88 chess boards, then 88x64=5632.
If you are speaking only of the squares in which chess pieces move there are 64, 8 rows of 8 spaces each.If you are speaking of the total number of actual squares that could be found and counted within a chess board using the lines provided there are 204.
Number of 1x1 squares= 8*8=64 Number of 2x2 squares= 7x7=49 Number of 3x3 squares= 6x6=36 Number of 4x4 squares= 5x5=25 Number of 5x5 squares= 4x4=16 Number of 6x6 squares= 3x3=9 Number of 7x7 squares= 2x2=4 Number of 8x8 squares= 1x1=1 Total number of Squares= 8^2+7^2+6^2+...+2^2+1^2= 204