How many squares r there in a chessboard?

Question

Those who said 64 squares...plz check again...coz there are a lot more than that!!

Answer 1

Consider the lefthand vertical edge of a square of size 1 x 1.
This edge can be in any one of 8 positions. Similarly, the top
edge can occupy any one of 8 positions for a 1 x 1 square.
So the total number of 1 x 1 squares = 8 x 8 = 64.

For a 2 x 2 square the lefthand edge can occupy 7 positions and
the top edge 7 positions, giving 7 x 7 = 49 squares of size 2 x 2.

Continuing in this way we get squares of size 3 x 3, 4 x 4 and so on.

We can summarize the results as follows:

Size Of square Number of squares
--------------- -----------------
1 x 1 8^2 = 64
2 x 2 7^2 = 49
3 x 3 6^2 = 36
4 x 4 5^2 = 25
5 x 5 4^2 = 16
6 x 6 3^2 = 9
7 x 7 2^2 = 4
8 x 8 1^2 = 1
---------------
Total = 204

There is a formula for the sum of squares of the integers
1^2 + 2^2 + 3^2 + ... + n^2

n(n+1)(2n+1)
Sum = ------------
6

In our case, with n = 8, this formula gives 8 x 9 x 17/6 = 204.

Answer 2

It depends on what type of chess you are talking about, There are western chess, The western version of chess is a game played on an board, called a chessboard, of alternating black and white squares. It is an 8×8 board and the 64 squares are of alternating color; usually, but not necessarily, black and white.

The 3 x 3 = 9 square board is used in tic-tac-toe. The 8 x 8 = 64 square board is used in checkers and chess. Go is played on a board in which pieces are placed on the intersections (as opposed to the squares bounded by the grid lines) of a set of 19 x 19 = 361 equally spaced lines on a square grid.

Answer 3

204 SQUARES in ALL.

Here are the details:

There are many more different-sized squares on the chessboard.
The complete list of answers is shown below:

"1, 8x8 square
4, 7x7 squares
9, 6x6 squares
16, 5x5 squares
25, 4x4 squares
36, 3x3 squares
49, 2x2 squares
64, 1x1 squares

Therefore, there are actually 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 squares on a chessboard! (in total 204).

Source: (worksheet with Figures)

Answer 4

1x1 squares: 64
2x2: 49 (7 rows with 2 squares by 7 columns with 2 squares)
3x3: 36 (same reason as above, use 6 instead of 7)
4x4: 25
5x5: 16
6x6: 9
7x7: 4
8x8: 1

Total number: 64+ 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204

Answer 5

I would almost reflexively say, "64," but I wonder whether this is not a trick question. If you count the entire chessboard itself, then the answer is 65. However, one could easily observe numerous other "squares" in an ordinary chessboard. I can't tell you now what the "real" number is, but in such case it would be far greater than 64.

Answer 6

Sorry, but there aren't any more than 64. The back row is 2 castles, 2 bishops. 2knights, a king and a queen. Eight squares. The board is exactly the same lengthwise as it is widthwise, or eight rows. Eight times eight is 64, and that's how many squares there are on a chessboard.

Answer 7

64

Answer 8

Tricky tricky. If the little "man-sized" squares are 1", then there are 64 1x1 squares, but there are also the 2x2, the 3x3, etc. And don't forget the whole board is... TA DA!!!!!!
a SQUARE!!!! I'm not gonna count them all, but I like this question....makes ya think.

Answer 9

64
Sixty-Four squares r on a chessboard.

Do I know how to play?
No! but my family does.

Answer 10

204