Total Number Of Squares in a Chess Board
total number of 1 X 1 square = 8x8 = 64
total number of 2 X 2 square = 7x7 = 49
total number of 3 X 3 square = 6x6 = 36
total number of 4 X 4 square = 5x5 = 25
total number of 5 X 5 square = 4x4 = 16
total number of 6 X 6 square = 3x3 = 9
total number of 7 X 7 square = 2x2 = 4
total number of 8 X 8 square = 1 = 1
Total number of squares in chess board = 204
total number of 1 X 1 square = 9x8 =72
total number of 2 X 2 square = 8x7 =56
total number of 3 X 3 square = 7x6 =42
total number of 4 X 4 square = 6x5 =30
total number of 5 X 5 square = 5x4 =20
total number of 6 X 6 square = 4x3 =12
total number of 7 X 7 square = 3x2 =6
total number of 8 X 8 square = 2x1 =2
Total number of squares in 9x8 board = 240
Total number of squares in 10x8 board = 276
Total number of squares in 11x8 board = 312
total number of 1 X 1 square = 8x8 = 64
total number of 2 X 2 square = 7x7 = 49
total number of 3 X 3 square = 6x6 = 36
total number of 4 X 4 square = 5x5 = 25
total number of 5 X 5 square = 4x4 = 16
total number of 6 X 6 square = 3x3 = 9
total number of 7 X 7 square = 2x2 = 4
total number of 8 X 8 square = 1 = 1
Total number of squares in chess board = 204
Total Number of squares in n x n board is
n*(n+1)(2n+1)/6
Total Number Of Squares in 9 x 8 board
total number of 1 X 1 square = 9x8 =72
total number of 2 X 2 square = 8x7 =56
total number of 3 X 3 square = 7x6 =42
total number of 4 X 4 square = 6x5 =30
total number of 5 X 5 square = 5x4 =20
total number of 6 X 6 square = 4x3 =12
total number of 7 X 7 square = 3x2 =6
total number of 8 X 8 square = 2x1 =2
Total number of squares in 9x8 board = 240
Total number of squares in 10x8 board = 276
Total number of squares in 11x8 board = 312
Total Number of squares in m x n board is
note: m>n
n*(n+1)(2n+1)/6 + (m-n)*n*(n+1)/2
final equation for Total Number of squares in m x n board is
is given bellow:
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