If you were to construct a 8 x 8 checkered square (i.e., a 8 x 8 chess board), how many squares would there be in total? Explain?

• 204 squares of different sizes
  
  1×1 squares: 8×8 = 64
  2×2 squares: 7×7 = 49
  .
  .
  .
  8×8 squares: = 1
  
  Total number of squares = 8^2 +7^2+...+1^2 = 204
• 12 years agoHelpfull: Yes(2) No(0)
• total square is 204
  as there are
  8*8+7*7+6*6+5*5+4*4+3*3+2*2+1*1=204
  
• 12 years agoHelpfull: Yes(1) No(0)
• see we should also watch the inner squares of the chess board
  hence
  1, 8x8 square
  4, 7x7 squares
  9, 6x6 squares
  16, 5x5 squares
  25, 4x4 squares
  36, 3x3 squares
  49, 2x2 squares
  64, 1x1 squares
  total 204
• 12 years agoHelpfull: Yes(0) No(3)
• 8*8*8*8*8*8*8*8
  =16777216
• 12 years agoHelpfull: Yes(0) No(2)
• 8 rows and 8 columns
  product of rows and column gives the result
  that is 8*8=64
• 8 years agoHelpfull: Yes(0) No(0)
• n(n+1)(2n+1)/6
  8(8+1)(16+1)/6
  204
• 8 years agoHelpfull: Yes(0) No(0)