You really should do your own homework - this is a question designed to make you analyse number patterns and devise a method to predict the answer that can be applied to grids of differing size. If we start with a square cut into a 3x3 grid, we can count the nine single (1x1) squares in the grid, the one 3x3 square, and then four 2x2* squares, making a total of 14. Try it out, then work your way up to 6x6 (a 36 square grid) by way of 4x4 and 5x5, looking to see how the grid's dimensions correlate to the number of varying-sized squares that can be counted. As a tip- in a 6x6 grid, you will have one 6x6 square, thirty-six 1x1 squares, and how many 2x2, 3x3, 4x4, and 5x5 squares? *The squares can overlap, obviously.
depends on the size of the square
Actually, there is more than 81 squares. SQUARE SIZES Multiplication to do: 1x1=81 ---> 9x9 2x2=64 ---> 8x8 3x3=49 ---> 7x7 4x4=36 ---> 6x6 5x5=25 ---> 5x5 6x6=16 ---> 4x4 7x7=9 ---> 3x3 8x8=4 ---> 2x2 9x9=1 ---> 1x1 now add up all products or amount of squares for each size.....and you get? 285!!! there are 285 squares inn a 9x9 grid.
There are 100 squares in a 10 by 10 grid.To discover the total number of squares in any square or rectangular grid, multiply the number of squares along two adjacent sides and you will arrive at the correct answer everytime.From Someone Else:The grid itself is a square alone; think about it, that's 1 on top of your 100.Look closer. There are actually 385 squares
Ok, here goes. There are 64 1x1 squares on a standard checkerboard. There are 204 total squares on an eight-by-eight checkerboard. 64 1x1 squares, 49 2x2 squares, 36 3x3 squares, 25 4x4 squares , 16 5x5 squares, 9 6x6 squares , 4 7x7 squares, 1 8x8 square, .
There are many different sized squares on a chessboard. The smallest squares are in an 8x8 grid, so we have 64 small squares. There are 7x7 2x2 squares, so we have 49 2x2 squares There are 6x6 3x3 squares, so we have 36 3x3 squares There are 5x5 4x4 squares, so we have 25 4x4 squares There are 4x4 5x5 squares, so we have 16 5x5 squares There are 3x3 6x6 squares, so we have 9 6x6 squares There are 2x2 7x7 squares, so we have 4 7x7 squares And there's the one big square that's the chessboard. All this adds up to 204 squares.
You really should do your own homework - this is a question designed to make you analyse number patterns and devise a method to predict the answer that can be applied to grids of differing size. If we start with a square cut into a 3x3 grid, we can count the nine single (1x1) squares in the grid, the one 3x3 square, and then four 2x2* squares, making a total of 14. Try it out, then work your way up to 6x6 (a 36 square grid) by way of 4x4 and 5x5, looking to see how the grid's dimensions correlate to the number of varying-sized squares that can be counted. As a tip- in a 6x6 grid, you will have one 6x6 square, thirty-six 1x1 squares, and how many 2x2, 3x3, 4x4, and 5x5 squares? *The squares can overlap, obviously.
depends on the size of the square
Actually, there is more than 81 squares. SQUARE SIZES Multiplication to do: 1x1=81 ---> 9x9 2x2=64 ---> 8x8 3x3=49 ---> 7x7 4x4=36 ---> 6x6 5x5=25 ---> 5x5 6x6=16 ---> 4x4 7x7=9 ---> 3x3 8x8=4 ---> 2x2 9x9=1 ---> 1x1 now add up all products or amount of squares for each size.....and you get? 285!!! there are 285 squares inn a 9x9 grid.
There 64 1x1 squares on a chessboard. There are also 49 2x2 squares, 36 3x3 squares, 25 4x4, 16 5x5, 9 6x6, 4 7x7 and 1 8x8. Total number of squares on a chessboard is therefore 204.
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?'
8x8=64(1x1)7x7=49(2x2)6x6=36(3x3)5x5=25(4x4)4x4=16(5x5)3x3=9 (6x6)2x2=4 (7x7)1x1=1 (8x8)64+49+36+25+16+9+4+1=204Total=204
64 1x1 Squares 49 2x2 Squares 36 3x3 Squares 25 4x4 Squares 16 5x5 Squares 9 6x6 Squares 4 7x7 Squares 1 8x8 Square 204 Squares altogether
I get 204 There are 64 1x1 squares; 49 2x2 squares; 36 3x3 squares; 25 4x4 squares; 16 5x5 squares; 9 6x6 squares, 4 7x7 squares and 1 8x8 square.
204 in total, broken down as follows 1, 8x8 square 4, 7x7 squares 9, 6x6 squares 16, 5x5 squares 25, 4x4 squares 36, 3x3 squares 49, 2x2 squares 64, 1x1 squares
There are 100 squares in a 10 by 10 grid.To discover the total number of squares in any square or rectangular grid, multiply the number of squares along two adjacent sides and you will arrive at the correct answer everytime.From Someone Else:The grid itself is a square alone; think about it, that's 1 on top of your 100.Look closer. There are actually 385 squares
441