Using 8 of the toothpicks, make a square with two on each side. Using another two, make a smaller square in one corner of the first. Using the remaining two, make a cross in the middle of the second square. One large square on the outside, one medium square inside it and four small squares formed inside that, for a total of six.
I'm not sure exactly what your question is, but the squares of 4 and 5 do have this property (and are the only perfect squares that do).
There is only one number of this type which is 7744=88^2 where a is 7 and b is 4
A cube is made out of squares ONLY. A Pyramid is out of triangles and sometimes with squares.
Squares have four equal sides and equal angles, rectangles only have two.
A cube has six faces that are all squares so the net can only consist of six squares.
Remove one of the outer toothpicks and one of the dividers of two squares. there you have two SQUARES .
Old one. Make a square out of four squares, then remove two adjacent inside toothpicks. This leaves a large square with a small square inside.
Note that the question does not say how the 5 squares are arranged. Let me specify one scenario: ____ |_|_| |_|_| |_| Take the two toothpicks from the upper left corner (the upper-right and the corner right below it will do too) and put them inside one of the remaining squares like a cross +. I can count 7 squares or 8 squares, depending on whether I count the square that contains the + or not. If your question can be more specific about the count of toothpicks, perhaps we can have a better solution. ======================
Since every square has 4 sides and you only have 10 toothpicks, obviously you can't have the squares be separate. You will need exactly 2 toothpicks to overlap. Once you realize that, there are two shapes that are possible and can be rotated to make a total of 6 different solutions. A straight line (vertical or horizontal): = = = | | | | = = = Or an L-shape (forwards, backwards, and upside-down forwards and backwards): = | | = = | | | = = Sorry that these don't look quite right, the formatting is getting screwed up.
The straightforward answer would appear to be eight, using separate toothpicks to form each letter.(Use 3 in the F, 3 in the A, and 2 in the T.)However, if you can use the same toothpicks for all three letters at the same time, you only need three. (see related link)Using 3 ToothpicksBy overlapping the three toothpicks at the proper angles, you can simultaneously form an F, an A, and a T. Place the toothpicks atop each other to form a small triangle in the middle. You will see the letters F, A, and T within the angles formed. The horizontals of the F are, however, oddly splayed and not parallel.(see related link)
I'm not sure exactly what your question is, but the squares of 4 and 5 do have this property (and are the only perfect squares that do).
This is a popular riddle that should be illustrated for explanation.(see the related link and question)The answers are :It takes 8 if you don't break any, or bend any, and use separate toothpicks to form each letter. (There are 3 in the F, 3 in the A, and 2 in the T.)Only 1 if you break it into pieces. You can also bend it into four equal lengths, then cross the lengths into a star shape as below.Only 3 if you can use the same toothpicks for all three letters. By overlapping the three toothpicks at the proper angles, you can simultaneously form an F, an A, and a T. Place the toothpicks atop each other to form a small triangle in the middle. You will see the letters F, A, and T within the angles formed. The horizontals of the F are, however, oddly splayed and not parallel.It depends on how big you want to make it.
There is only one number of this type which is 7744=88^2 where a is 7 and b is 4
To do an egg drop with cups and toothpicks, create a structure using the cups and toothpicks to form a protective outer layer around the egg. Make sure the egg is securely nestled within the structure to absorb impact. Test the structure by dropping it from increasing heights until you find the optimal design to protect the egg upon impact.
The only squares of perfect squares in that range are 1, 16, and 81.
prime squares
A cube is made out of squares ONLY. A Pyramid is out of triangles and sometimes with squares.