This is difficult to explain, but make one square flat on a table. Then place four of the remaining five matches in each corner of the square (place them vertically). Then lean the matches in adjacent corners against each other so that from one angle you've made two triangles. Then lay the fifth match with one end on the tip of each triangle. You're actually making a triangular prism with three square bases. I've never seen this riddle before, it's pretty good. _ Step 1. l_l
Step 2. /_\ on both sides
Step 3. Lay fifth match across top.
A sort of triangle of squares. Lay out 3 squares side by side using 10 matches. Take the middle match from the bottom row and use it and the other two to make a square based on the middle match of the top row.
move
A square has 4 sides therefore 3 squares from 12 toothpicks will simply be three unconnected squares
Use squares and try it out for yourself. Get a number of squares and make a rectangle 3 squares long by 4 squares wide. Count the squares. You should have 12 squares (or 3*4). That's the best way I know to prove the formula.
A cube.
A sort of triangle of squares. Lay out 3 squares side by side using 10 matches. Take the middle match from the bottom row and use it and the other two to make a square based on the middle match of the top row.
Is this question supposed to have 12 toothpicks to make 4 squares and then move 3 toothpicks to make 3 equal sized squares? Answer depends on the restrictions. Just move 3 sticks from any square to form a straight vertical or horizontal line up of squares is one option if there is no restrictions other than the three resulting squares are equal sizes.
You can make three squares
So whats the question? If i had 5 squares remove 3 lines to make 4 squares but keep the 3 lines within the 4 squares what?
3 is the smallest integer that cannot be written as the sum of two squares. This is easy to see, since the only squares less than or equal to 3 are 0 and 1.
Make 4 equally spaced columns of 3 matchsticks. Across the top put the first row of 3 matchsticks and then put a further two rows of matchsticks equally spaced. This will form 9 small equal squares within a larger square.
First lay out 13 sticks to make 3 squares with a sick over. Then take 1 stick out. What is left is 3 squares. Simple!
A 3-d shape with 6 equal faces is a cube. It has 6 squares as it's faces. A 3-d shape with 6 equal faces and only 2 squares is a rectangular prism. It has 2 squares and 4 other rectangles (squares are rectangles too) as it's faces.
move
3 squares: 36 + 4 + 1 2 squares: 25 + 16
A square has 4 sides therefore 3 squares from 12 toothpicks will simply be three unconnected squares
8 with 3 left over