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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=204

Total=204

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Q: How many squares of any size are there on an 8 by 8 grid?
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How many Squares are in a 7 by 7 grid?

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.


Why do you multiply the two sides of the square to get the area?

Areas are measured in squares.The area of any shape is the number of squares that it covers. The number of squares covered depends upon the size of the squares.A square centimetre is a square with 1 centimetre along each side.If you had a square 6 centimetres along each side, how many of these "square centimetres" would be needed to fill its interior?First, along one edge of the square you could fit 6 of these square centimetres in a row.You could also fit 6 of these rows down the 6 cm square. So in total there would be 6 x 6 = 36 of the little squares:.............................................................----------------------..........|.....|......|.....|......|......|.....|..........|--+--+--+--+--+--|..........|.....|......|.....|......|......|.....|..... In this diagram, each little square is a square with.....|--+--+--+--+--+--|..... 1 cm along each side......|.....|......|.....|......|......|.....|..... The big square is 6 cm along each side, and you can.....|--+--+--+--+--+--|..... see the 36 little squares inside it in 6 rows of 6 little.....|.....|......|.....|......|......|.....|..... squares in each. To count the squares quickly, the.....|--+--+--+--+--+--|..... sides of the square are multiplied together......|.....|......|.....|......|......|.....|..........|--+--+--+--+--+--|..........|.....|......|.....|......|......|.....|..........----------------------.............................................................


What do odd triangles have to do with squares and cubes?

Well if you half any quadrilateral it comes up with a triangle and a square is a quadrilateral.


Who proofed that the square on the hypotenuse is equal to the sum of the squares on the other two sides of any right angled triangle?

Pythagoras.


Are the alternate interior angles always congruent?

Adjacent angles of a square? You have to have at least two squares to compare the congruency of angles. Since all the angles of a square equal 90 degrees, adjacent angles of any TWO squares will be congruent. I suggest you look up the definition of CONGRUENT. - wjs1632 -

Related questions

How many squares of any size in a 20 by 20 grid?

400


How many perfect squares of any size are there on a 10 by 10 grid?

Math can be a fun subject to learn. In a 10 by 10 grid there can be up to 100 perfect squares.


How many squares does a 7 by 7 grid have?

7 x 7 = 49 of the smallest squares if there are 7 squares on each side. The total number of "squares" of any size (1 to 49 of the smallest squares) is 140. The number can be calculated from the formula [(n)(n+1)(2n+1)] / 6 where n is the grid size.


How many squares of any size are contained within a grid measuring 9 units by 6 units?

Counting squares whose sides are along the grid-lines, there are 154.


How many Squares are in a 7 by 7 grid?

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.


What is the equation for finding out how many squares are in a 4 by 4 grid?

4 x 4 = 16For any grid n by n, the number of squares is equal to n2 (or n x n)


How many squares in a 10 by 10 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


How many squares of any size are on a board divided up into 6 squares by 6 squares?

Thirty-six.


How many squares of any size are there in a 5x5 grid?

The answer depends on whether the 5*5 grid is 5*5 points or 5*5 squares (like a mini chessboard). If 5*5 chessboard 1 square of 5*5 4 squares of 4*4 9 squares of 3*3 16 squares of 2*2 and 25 squares of 1*1 making 55 squares in all. If 5*5 points then 1 square of 4*4 4 squares of 3*3 9 squares of 2*2 and 16 squares of 1*1 making 30 squares in all.


How many rectangles of any size are there containing 11 squares?

There is only one rectangle containing exactly 11 squares.


How many squares of any size are made by the lines of a standard chessboard?

The obvious answer is 64, but there are actually 204 squares on a chess board


Which rectangle does NOT show 12 same-size squares?

To have 12 same size squares in a rectangle the grid of squares will be 1x12, 2x6 or 3x4. This means that the ratio of the length to the width is either 1:12, 2:6, 3:4, 4:3, 6:2 or 12:1. If the ratio of the length to width is none of those, then 12 same-size squares cannot fit.