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Showing posts with the label Number of squares

How many squares are there on the chessboard?

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  Pic of question The answer is 204 squares.   This is because you have to calculate how many 1 x 1 squares, 2 x 2 square, 3 x 3 squares and so on that are on the chessboard. These numbers end up being the square numbers: 64, 49, 36, 25, 16, 9, 4, 1 respectively.  Hence, the total number of squares on the chessboard are 64+49+36+25+16+9+4+1 = 1²+2²+3²+4²+5²+6²+7²+8² = 8×9×17÷6 [∵ 1²+2²+3²+...+n² = n(n+1)(2n+1)/6 ]  i.e ., 204 Answer related pic

The Number of squares in Visual engima

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 The Number of squares in this Visual engima are 40. Big block 1 Small blocks 16 Center squares 2 Inside the center squares 8 2×2 block squares 9 3×3 block squares 4