Three-dimensional drawing in math class

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As soon as you calculate not only areas but also volumes, you must be able to draw different bodies in three dimensions. You can find out here how three-dimensional drawing works with cuboids.

How do you draw three-dimensional cuboids?
How do you draw three-dimensional cuboids?

What you need:

  • triangle ruler
  • sharp pencil
  • paper
  • Possibly. calculator

How to construct a three-dimensional cuboid

You have given the length l (or depth t), width b and height h of your cuboid.

  1. First draw a rectangle with the width b and the height h of your cuboid, as described in points 2 and 3.
  2. First, draw the width b - as horizontally as possible - on a sheet of paper. If your flat is checked, you can use the boxes to help. Two boxes are equal to one centimeter.
  3. At the ends of your horizontal line, draw vertically, i.e. at a 90-degreeangle the height of your cuboid. Now connect these two new ends. The line should run parallel to the first line of width and also have the length b, so that you get a rectangle.
  4. You only get a three-dimensional object with the length l (or the depth t). To the three-dimensional optics To obtain, the length l (or t) is multiplied by a factor q. If no other factor is given, q is usually 0.5 - the length l (t) is halved.
    5. Draw a three-dimensional coordinate system - this is how it's done

    To draw a three-dimensional coordinate system on a two-dimensional paper ...

  5. Draw a segment of length l * q from three corners of the cuboid at a 45-degree angle. The three lines should run parallel.
  6. Connect the ends of the three lines from point 5 so that you get a parallel to the height with length h and a parallel to the width with length b. So you have drawn your three-dimensional object.

Drawing in the three-dimensional coordinate system.

  1. In a three-dimensional coordinate system there are three axes - x1, x2 and x3. The x2-Axis becomes horizontal, the x3-Axis perpendicular and the x1- Axis drawn at a 45 degree angle to the bottom left.
  2. At the x2- and x3-Axis equals one unit to two boxes. At the diagonal x1-Axis corresponds to a diagonal box of a unit.
  3. You draw a point in a three-dimensional coordinate system as follows. Go the x1-Value from the origin on the x1-Axis along. Then go your x2-Value to the right (note that one unit is two boxes here) and finally your x3-Value up.
  4. The best way to draw a cuboid is to calculate all points and draw them in as described in point 3.

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