30 squares within a 1 unit grid. 30 squares in all: 4*4 square: 1 3*3 squares: 4 2*2 squares: 9 1*1 squares: 16
Infinitely many, but only 30 squares within a 1 unit grid. 4*4 square: 1 3*3 squares: 4 2*2 squares: 9 1*1 squares: 16
16 Answer #2 It is 16 if you just count the 1 x 1 squares but the 16 squares also form a 4x4 square. There are also 2x2 squares and 3x3 squares in the pattern. 16 1x1 squares 9 2x2 squares 4 3x3 squares 1 4x4 square 30 squares (possibly more?)
1 8x8 square 4 7x7 squares 9 6x6 squares 16 5x5 squares 25 4x4 squares 36 3x3 squares 49 2x2 squares 64 1x1 squares 204 total squares
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.
15 x 4 = 60 of them.Answer:It depends on how you look at the grid. It can be looked at as a grid of small squares or the quares can be organized into larger units.Taken as independant small squares there are 4x15=60 squares. However each 16 congruent squares sharing a common 4x4 orientation can be grouped into a larger square, similarly each 3x3 and 2x2 larger quare that can be formed by groupong can be added to the total:1x1 squares: 602x2 squares: 423x3 squares: 264x4 squares: 12Total:140
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.
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.