Posted by **Seth** on Sunday, October 22, 2006 at 11:43am.

how many squares are in an 8x8 checkerboard? (the answer is not 64 because that's too low.)

Thank you for using the Jiskha Homework Help Forum. Unfortunately, you don't state the size of each square. Hopefully the following will answer your question!

Continuing in this way we get squares of size 3 x 3, 4 x 4 and so on.

We can summarize the results as follows:

Size Of square Number of squares

--------------- -----------------

1 x 1 8^2 = 64

2 x 2 7^2 = 49

3 x 3 6^2 = 36

4 x 4 5^2 = 25

5 x 5 4^2 = 16

6 x 6 3^2 = 9

7 x 7 2^2 = 4

8 x 8 1^2 = 1

---------------

Total = 204

There is a formula for the sum of squares of the integers

1^2 + 2^2 + 3^2 + ... + n^2

n(n+1)(2n+1)

Sum = ------------

6

In our case, with n = 8, this formula gives 8 x 9 x 17/6 = 204.

## Answer This Question

## Related Questions

- Biology - i need to understand how draw a kite diagram. Any good websites would ...
- Strategy - what skills and temperaments do you believe are needed for a ...
- IDIOM - GRABBING THE BULL BY THE HORNS A WOLF IN SHEEP'S CLOTHING Thank you for ...
- Health - I need a 14 letter word, the 4th letter is an o for a crossword puzzle ...
- copyright - i want to know the assignment format and style, how to start. Thank ...
- TO TEACHERS AND WRITEACHER - TO TEACHERS AND WRITEACHER HELLO, I AM NEW TO THIS ...
- TO MARIE - SraJMcGin wrote: Thank you for using the Jiskha Homework Help Forum. ...
- FRENCH HELP - I don't get french It is to hard help me understand plz someone ...
- ela - how many high students allow students to pay for school lunch? how much ...
- Germany and China - I need to know if Germany and China both have liability ...

More Related Questions