Chess Math Problem Problem

How many different spuares are there on a 8x8 checherboard?

You can find more than 64 I'll give you that much.

Explain your answer and how you did it.

Originally posted by Lord Burn
How many different spuares are there on a 8x8 checherboard?

You can find more than 64 I'll give you that much.

Explain your answer and how you did it.

1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2
= 204
[ = 8*(2*8+1)*(8+1)/6 from the formula for the sum of consecutive squares]

We get this because there is one way of placing an 8*8 square on the chessboard, four ways of placing a 7*7 square etc.

Originally posted by Lord Burn
How many different spuares are there on a 8x8 checherboard?

You can find more than 64 I'll give you that much.

Explain your answer and how you did it.

Here's another one

You have 3d chessboard of size N^3

How many different vertical and horzontal squares are there on this chessboard?

Originally posted by Lord Burn
How many different spuares are there on a 8x8 checherboard?

You can find more than 64 I'll give you that much.

Explain your answer and how you did it.

2, a white one and a black one.

Originally posted by TheMaster37
2, a white one and a black one.

I guess that's Dutch Logic...😀

Olav

Originally posted by iamatiger
Here's another one

You have 3d chessboard of size N^3

How many different vertical and horzontal squares are there on this chessboard?

Well, in each of the cubes you've got an uncountable infinity of squares.