WBCS.LIVE practice question

How many total squares are there on a standard 8 by 8 chessboard?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 64
  2. 204
  3. 144
  4. 256

Correct answer and explanation

Correct answer: 204

Explanation: āœ… Correct Answer: B) 204 šŸ“š Explanation: A chessboard does not just consist of the 64 small 1Ɨ1 squares. It also contains 2Ɨ2 squares, 3Ɨ3 squares, all the way up to one massive 8Ɨ8 square. The mathematical formula to find the total number of squares in an nƗn grid is the sum of the squares of the first n natural numbers (1² + 2² + 3²... + 8²). Summing 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 yields exactly 204.