Chess facts
Level
2
What is the total number of squares on a chessboard?
(Don't count the squares apparently forming by the diagonals)
204
64
65
300
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1 solution
Squares mean that the two lengths are equal which means it's only possible, in a chess board, to have the following squares:
8x8 =1 Square (There is only 1 8x8 square (the entire chessboard) (1^2)
7x7 = 4 possible 7x7 squares (2^2)
6x6 =9 possible 6x6 squares (3^2)
5x5
4x4
3x3
2x2
1x1 =64 of the 1x1 squares (8^2)
We can see a Pattern for the amount of squares!
8x8 = 1^2 squares
7x7 =2^2 squares
6x6 = 3^2 squares
5x5 = 4^2 squares
4x4 = 5^2 squares
3x3 = 6^2 squares
2x2= 7^2 squares
1x1 = 8^2 squares
1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2= 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =204 204 possible squares in the chessboard!
The formula for the amount of squares in a nxn board is (n^3/3)+(n^2/2)+(n/6)