# How many squares are on a chess board?

DrSpudnik wrote:

...and the two squares playing the game.

I like that joke lol. Its "cute"

bartnic1 wrote:
knightscape077 wrote:

Now how many cubes are there in a 3D chess board?

Seems like its an easy generalization.

8x8x8 + 7x7x7 + 6x6x6 + ... + 1x1x1

Though it's maybe a better question as to how chess would even be played on a 3D board; what we're really envisioning is a 3D cube with a bunch of sub-cubes.

Another interesting question to ask is how many rectangles exist on a chess board? If you like this stuff, then math might be the field for you!

Although usually it would have 3 layers, I guess the question has to assume the height between each is the same as a square length

64. are u ok?

oooooooohhhhhhh

gjgd wrote:

There are:

- 8 * 8 = 64 1x1 squares

- 7 * 7 = 49 2x2 squares

- 6 * 6 = 36 3x3 squares

.....

- 1 * 1 = 1 8x8 squares

Total = 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204 squares

exactly. It is a trick question

Ghost_of-Pushwood wrote:

more than 1 less than 999

lol

more than 3, less than 997

64*8

more than 5, less than 995

abcxyz2018 wrote:

64*8