64. are u ok?
How many squares are on a chess board?
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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
...is not the answer
the answer is...
204
it is not.
check on google.
but that is not the answer
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!
https://en.m.wikipedia.org/wiki/Millennium_3D_Chess
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