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Thread: Chess Board......

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    Chess Board......

    How many squares are there on a chessboard?? (the answer is not 64)

    Can you extend your technique to calculate the number of rectangles on a chessboard.


     



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    Senior Member Array sunnyajmal's Avatar
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    i think they are 66...

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    omg!! there are many!!!! cant count!!

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    Senior Member Array sunnyajmal's Avatar
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    i found the answer hope it is correct...

    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).

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    OK Well Done Job Sunny......
    Now extend your technique to calculate the number of rectangles on a chessboard?????????

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    Senior Member Array sunnyajmal's Avatar
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    well i think the answer is:
    28^2 = 784.

    1^3 +2^3 +...+7^3 = (n(n+1)/2)^2

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    sunny did u "search" for the answer?

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    204 is close But there is more square available in chess board. answers will be post later.....
    Now extend your technique to calculate the number of rectangles on a chessboard?????????

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    Senior Member Array sunnyajmal's Avatar
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    muffy actually, i answered first then i remembered that i had the solution in one of my note books from my university then i found it....

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    ok cheers!!

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