There may be many reasons when you need to make a parallelepiped yourself: school homework on completing a model of a simple geometric body, a desire to make one, or even a unique home interior design.
What does a three-dimensional polygon have to do with it?
Frankly speaking, all this is possible in such a simple form as a parallelepiped. It is easiest and fastest to make from paper. Let's consider the most interesting options: gluing a figure from a pattern according to a given drawing, origami and modular assembly.
Lesson #1: 3D model
In order to make a rectangular parallelepiped from paper, you will need cardboard, a ruler, a pencil and scissors.
First of all, you must know exactly what size model you want to get. On a separate piece of paper, write down the main dimensions of the parallelepiped: the height of the side surfaces, length and width.
It is important not just to redraw the sample, but according to the necessary parameters. Then the result will not be disappointment and the need to do double work.
When your diagram is ready, trace the resulting drawing under the ruler with the tip of a pair of scissors. This must be done so that the cardboard folds neatly at the folds and does not “dictate” its lines.
In front of you is an unfolded parallelepiped. Cut out a blank from paper with your own hands. Fold it on the reverse side along the marked lines.
All that remains is to glue the side allowances from the inside to the adjacent sides of the model and your parallelepiped is ready. 
Lesson #2: Origami
As a child, you probably played with cubes. Of course, at that time you had no idea that you were dealing with parallelepipeds. During the game, parallelism of all sides does not matter, but functionality is important. And you can’t reprimand the child. The main thing is that the delight of childhood can be repeated, but at a new level. How? Make a parallelepiped out of paper using the origami technique. Yes, not just one model, but as many as the number of light bulbs on your halogen garland. See what you end up with.
Step 1
Take a square piece of paper. Bend it in half. Unfold and fold again on the other side.
Step 2
Repeat the same steps, only in the direction away from the corners.
Step 3
Keep two opposite sides of the sheet centered with your fingers. Also point the other two opposite surfaces towards each other and smooth the resulting triangle, thereby fixing the new fold lines.
Step 4
First, on one side, and then on the other, lift the corners of the triangle to the top.
Step 5
The result is a so-called rhombus. Bring its right and left corners together in the center. Smooth out the future paper parallelepiped again.
Don't forget to turn it over and fold the corners on the other side.
Step 6
Do the opposite. Open the corners you just folded and fold the others. They are formed from the free ends of a paper sheet and are directed with their vertices towards the fold lines in directions opposite to each other.
All this is difficult to understand only until you see what it is actually about.
Step 7
Insert the newly obtained corners into the formed pockets, as shown in the example.
Step 8
So, the paper parallelepiped is ready! It's just still folded. You can add volume to it in two ways. First: inflate. Second: take a long rod from an ordinary ballpoint pen and use it. Both methods are carried out through a single hole that you will find at the bottom of the model (the one closest to you). When you do these manipulations, you will get this wonderful shape:
In the same hole through which the cube was inflated, the
Lesson #3: Modular Assembly
Another interesting way to make a very nice parallelepiped from paper.
Step 1
Fold the square sheet in half and fold each half in half again lengthwise. Let the two extreme folds “meet” in the center.
A parallelepiped is a three-dimensional geometric figure, the base of which is a polygon, and the faces are parallelograms. Many schoolchildren find it difficult to comprehend this concept, much less solve problems involving calculating the area and volume of a parallelepiped. In order to help your child master geometry knowledge, make a model of a figure out of paper with him.
How to make a parallelepiped from white paper
The three-dimensional model is assembled from a stencil, which is easy to make yourself. Prepare: a sheet of A4 paper, pencil, ruler, scissors, glue.
- Place the sheet in front of you with the wide side (lengthwise). Divide its side part, equal to 21 cm, in half on both sides and draw a line.
- Let's assume that the height of the edge of the parallelepiped is 10 cm. Measure from the middle from the two edges up and down 5 cm and connect the marks with segments.
- To form the sides of the figure, put aside on the first and last lines alternately - 8, 5, 8, 5 cm. Connect the lines at the points to each other - you get the edges of a parallelepiped.
- On the second and third vertical lines, mark 5 cm from their beginning and end (up and down), since our width of one side is 5 cm, and connect the ends of the segments to form a quadrangle.
- Step back from the outline of the figure 1.5 cm on each side and draw a mark that will indicate places for fastening.
Important: do not go beyond the protruding side rectangles, so as not to accidentally cut them later.
- Cut out the resulting shape, cut off the corners of the ends of the strips for gluing.
- Bend the workpiece along the edges, kneading them with your hands. Transfer the base to the other side so that the pencil grid remains inside, and push the basting along the entire surface.
- Apply glue to the seam allowance on one side. Roll up the shape and, starting from the outermost strip, glue the opposite edge to it, then the top base. Repeat the procedure on the other side and the parallelepiped is ready.
How to make a rectangular parallelepiped from paper - a cube
A cube is also a parallelepiped, only rectangular, the sides of which are squares. It is drawn according to the same scheme as in the first version.
- Build successively four squares in the horizontal direction and two on the sides of the second along the vertical axis. Draw the valves onto the glue.
- Cut out the development, crease the edges, apply glue to the allowances and glue the cube.
How to make a parallelepiped from paper using the origami technique
This method is good because to make a figure you only need a square sheet of paper.
- Bend the sheet in half on both sides, divide the resulting corners in half so that a blank of folded triangles comes out.
- Flip the shape 90º. Bend the left and right corners until they touch, pressing the folds with your fingers. Place the sheet on the reverse side and repeat the steps.
- Turn away the folded corners and fold the others, formed from the free ends of the sheet and pointing their apexes towards the folds.
- Insert the corners into the resulting pockets.
- Insert a pencil or blow into the hole formed at the bottom of the model, and the figure will gain volume.
A paper parallelepiped can be used not only as a visual aid in geometry. If the figures are made of colored cardboard, they will be useful in children's games, and if they are made of decorative paper, they will help to beautifully pack a gift or souvenir.
By playing with various geometric figures with your child, you help him develop spatial thinking and imagination. He begins to understand what square, round, cubic, spherical, rectangular means and can easily imagine it in his head. Even at school, during geometry lessons, teachers always show models of various figures to students, which contributes to a better understanding of geometric theorems and axioms. And, perhaps, the most difficult and difficult word for a child to pronounce is “parallelepiped”. In order to master this figure and understand its patterns, we suggest you and your child make a parallelepiped out of paper with your own hands.
To do this you will need:
- thick paper (but not cardboard, otherwise such a craft will cause a lot of difficulties for the child), you can use a sheet from an album;
- pencil;
- ruler;
- scissors;
- PVA glue.
To understand how to make a parallelepiped from paper, you need to remember what it looks like and what it is. This figure has 6 faces, each of which is a rectangle. Consequently, the scan will consist of 6 interconnected rectangles located in the same plane.
1. Like any three-dimensional figure, a parallelepiped has length, width and height. The size of the resulting fake will depend on their value. Let's determine the desired values and write them down.
2. Let's start drawing a diagram of a rectangular parallelepiped on paper. Remember that the paper should not be too thin, it will easily get wet from the glue and warp, then the figure will not turn out smooth, and excessively thick cardboard will bend poorly and crack at the bends.
3. Draw a horizontal line, the length of which will be equal to the sum of the width and height multiplied by two. Then from each end of the line we lower a perpendicular equal to the length of the intended parallelogram. Between them we will draw a line parallel to the first.
4. Now from the upper right corner we will set aside the height of the parallelogram, then the width. Then again the height, and again the width. From the obtained points we draw perpendicular lines to the opposite side, which will be equal to the length of the parallelogram. Thus, we got 4 sides of the figure. There are still 2 left.
5. Above the second rectangle on the right, draw two more below and above. In this case, from the second mark on the right, which we made in step 4, we will draw a perpendicular upward equal to the height of the figure. Let's repeat the same thing from the second mark. Let's connect the perpendiculars with a segment equal to the width of the parallelogram. Using a similar method, we will construct the lower rectangle on the opposite side.
6. To make it easier to glue the parallelepiped from paper, we will add additional “wings” to the drawing, as indicated in the figure. Their width should be about 1.5 cm. It is also necessary to make them beveled corners (45 degrees) so that when gluing they do not look out.
So, the development of a parallelepiped made of paper is ready. It is important that all the details of the drawing are even and strictly measured, otherwise the figure will not stick together smoothly and will be crooked.
7. Cut out the blank and bend it along all the lines so that our side edges touch, and the upper and lower rectangles become the “bottom” and “lid” of the figure.
8. Lubricate the additional “wings” with glue and assemble the parallelepiped, tucking them inside. Let's wait until the glue dries.
If you have mastered making this figurine, you can begin assembling an inclined parallelepiped from paper, the edges of which are acute rhombuses.
