Question

How many total squares does a chessboard have?
100
16
204
64

Answer 1

No of squares in chessboard
${1}^{2} + {2}^{2} ......... + {8}^{2} \\ = 1 + 4 + 9 + .......64 \\ = 204$

Answer 2

Hey there!

Q. How many total squares does a chessboard have?

Answer : Option (c) 204

Solution :

In a chessboard, there are 8 × 8 squares.

8 × 8 squares

7 × 7 squares

6 × 6 squares

5 × 5 squares

4 × 4 squares

3 × 3 squares

2 × 2 squares

1 × 1 squares

At this point, you should be seeing a pattern. Let’s write out what we have:

Total number of squares : $8^{2} + 7^{2} + 6^{2} + 5^{2} + 4^{2} + 3^{2} + 2^{2} + 1^{2}$

If we sum them all up we get :

∴ 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204

Therefore, there are total 204 squares on a chessboard!