Square Chess

How many squares can be formed using the checkered 1x1 squares in a normal chessboard?


The answer is 204.

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3 solutions

Vishnudatt Gupta
May 14, 2014

1,,4,9,16,25,-------------------64

8 9 17/6=204

Ashish Mishra
Apr 6, 2014

(8!)^2=64+49+36+25+16+9+4+1=204

its not 8! ^2

Vighnesh Raut - 7 years ago
Sunil Pradhan
Mar 27, 2014

total squares = 1² + 2² + ... + 8²

= 8(8 + 1)(2×8 + 1) =204

In reply to @Sunil Pradhan 8(8 + 1)(2×8 + 1)/6 =204 :)

Rahul Gautam - 7 years, 2 months ago

correct : n(n+1)(2n+1)/6 sum of squares

Sunil Pradhan - 7 years, 2 months ago

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