Tricky Chessboard

Calculus Level 3

Find the total number of squares (of any size) on a chessboard


The answer is 204.

Vipul Johri by vipul johri , 24, India

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2 solutions

Rama Devi
May 21, 2015

The formula to calculate the number of squares in a chess board is given by n(n+1)(2n+1)/6. Therefore by substituting the value of n as 8,we get the answer as 204.

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Did the same but i dont understand how is this a calculus question

Aditya Kumar - 5 years ago
Vipul Johri
Dec 12, 2014

Total number of squares = 8²+7²+...+1² = 204

1² + 2² + 3² + ....n² = n(n+1)(2n+1)/6 You can prove this formula to be accurate using mathematical induction

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