Oh, that's a happy little question! In a 6x6 grid, you have 36 individual squares. But if you count all the different sizes of squares that can fit within the grid, including the whole grid itself, you have a total of 91 squares to enjoy painting with your imagination.
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In a 6 x 6 grid, there are a total of 129 squares. To calculate this, you can use the formula for the sum of squares from 1 to n, which is n(n+1)(2n+1)/6. Plugging in 6 for n, you get 6(6+1)(2*6+1)/6 = 6(7)(13)/6 = 42 + 42 + 42 + 3 = 129.
Well, darling, in a 6x6 grid, you have 36 individual squares. But if you're talking about the total number of squares, including all sizes from 1x1 up to 6x6, then you've got yourself a grand total of 91 squares. So, there you have it, sugar, 36 or 91 depending on how you look at it.
The first answer given was 6 x 6 = 36.
I think a better answer is 91.
The grid contains not only 36 small squares, it contains 25 2x2 squares, 16 3x3 squares, etc., all the way up to one big 6x6 square.
If you think this interpretation makes no sense, then consider the parallel question, 'How many rectangles are there in a 6 x 6 grid?'
30
There are 49 of the smallest squares. However, any grid forms "squares" that consist of more than one of the smallest squares. For example, there are four different 6x6 squares that each include 36 of the small squares, nine different 5x5 squares, sixteen 4x4 squares, twenty-five 3 x 3 squares, and thirty-six different squares that contain 4 of the small squares. One could therefore discern 140 distinct "squares." The number can be calculated from the formula [(n)(n+1)(2n+1)] / 6 where n is the grid size.
Take the product of the dimensions to solve this: 6 x 6 = 36 So your answer is 36 squares.
441
6 triangles is 18 and 3 squares is 12 18 +12 ------- 30