Tuesday

October 21, 2014

October 21, 2014

Posted by **Ell** on Thursday, October 27, 2011 at 5:06pm.

(It is more than 64)!

Make sure to show all your work and explain your reasoning.

Explain how you can determine the number of

total squares for any N by N board.

Bonus: How many total rectangles?

Thanks!

- Math -
**Steve**, Thursday, October 27, 2011 at 5:28pma web search turns up several well-explained solutions

- Math -
**MathMate**, Thursday, October 27, 2011 at 5:30pmNumber of 1x1 squares = 64.

Number of 2x2 squares:

7 rows x 7 columns = 49

Number of 3x3 squares:

6 rows x 6 columns = 36

....

Number of 8x8 squares:

1 row x 1 col. = 1

So the total number of squares

=1²+2²+3²+...+8²

=n(n+1)(2*n+1)/6

where n=8.

**Answer this Question**

**Related Questions**

Math - Okay so I have to find how many total squares are in an 8 by 8 ...

Math - a standard checkerboard with 8 blocks to a side contains 204 squares of ...

My Retyped Algebra Post - 1. Use the arithmetic sequence of numbers 2,4,6,8,10...

MATH - Carolyn and Kim are selling lemonade this summer. It costs $0.10...

Math - Algebra - A. Solve the following quadratic equations. Make sure to show ...

math - 2. Simplify. Please be sure to show all of your work. -3(-9) – |-5 – 3 3...

counting - how many squares are in an 8x8 checkerboard? (the answer is not 64 ...

College Physics - A 27.7-cm-by-27.7-cm checkerboard has a mass of 103.1 g. There...

Brain freezer a.k.a. MATH - Please Help! Are all squares similar? I think that ...

Physics - Center of Mass - A 32-cm-by-32-cm checkerboard has a mass of 120 g. ...