<transcript><audio_0> Wir hatten hier Aufgaben und zwar ein Müllauto komprimiert den aufgesammelten Müll, um Volumen zu sparen, auf ein Drittel seines Ausgangsvolumens. Wenn das Auto die Hälfte seiner Kapazität eingesammelt und komprimiert,</transcript><caption><image_1>The image is a screenshot of a whiteboard with a list of mathematical equations written on it. The equations are written in black ink and are arranged in a grid-like pattern. 

The first equation is written in red and blue, with the letters "V" and "C" written above it. Below the equation, there is a diagram of a cube with a red arrow pointing to the left side of the cube. The cube is labeled "V2 = V2" and has a blue arrow pointing towards it.

Next to the diagram, there are two equations written in blue and red. The first equation reads "V3 = V4 = V5 = V6 = V7 = V8 = V9 = V10 = V11 = V12 = V13 = V14 = V15 = V16 = V17 = V18 = V19 = V20 = V21 = V22 = V23 = V24 = V25 = V26 = V27 = V28 = V29 = V30 = V31 = V32 = V33 = V34 = V35 = V36 = V37 = V38 = V39 = V40 = V41 = V42 = V43 = V44</caption><transcript><audio_2> 18 Kubikmeter im Auto. Wenn man davon ausgeht, dass der quaderförmige Innenraum 2 Meter breit und 3 Meter hoch ist, verbleiben die Fragen, wie lang der Innenraum insgesamt ist und wie viel Unkomprimierung</transcript><transcript><audio_3> Ich habe hier die Skizze gemacht, insofern, dass ich gesagt habe, naja, hier haben wir schon mal einen halben Quader, der hat 18 Kubikmeter. Gesucht ist die echte Länge. Naja, jetzt muss ich aber erstmal mir mit dem...</transcript><transcript><audio_4> Das kleine blaue Volumen ist 2m x 3m x L halbe.</transcript><transcript><audio_5> So, dann habe ich also L, wenn ich das umstelle, auf 9 Meter. Entsprechende Antwort schreiben, dann hat man es. Weiter die nächste Sache ist, dass das ja das halbe Volumen ist.</transcript><transcript><audio_6> 36 Kubikmeter und das mal 3 genommen, denn auf ein Drittel komprimiert sind es nur 36 Kubikmeter mal 3 entspricht das 108 Kubikmeter. Gibt es dazu Fragen? Nächste Aufgabe war eine Baggerschaufel, die war ganz leicht, die hatte eine</transcript><caption><image_7>The image is a screenshot of a whiteboard with a mathematical equation written on it. The equation is written in black marker and is in the form of a triangle. The triangle is drawn in a simple, cartoon-like style with a curved top and a straight bottom. 

The equation is divided into two parts - the top part is labeled "2.5" and the bottom part is labelled "V = 0.25m". The equation also includes a value of "2" and a value that is 0.35m.

There are also two lines drawn on the whiteboard, one representing the value of the equation and the other representing the volume of the volume. The first line is labeled as "V", the second line is labelled as "1", and the third line is marked as "2".

At the bottom right corner of the image, there is a signature that reads "An thrust".</caption><transcript><audio_8> Die Maße sind klar. Nächste Aufgabe haben wir geübt. Da hat sich ein Rohr</transcript><transcript><audio_9> auf 4 Dezimeter verjüngt im Laufe der Zeit. Wir gehen vom Idealzustand aus. Jetzt haben wir folgendes. In dem unverjüngten Rohr, wenn es also normal gewesen wäre, so kann man sich das modellhaft besser darstellen, habe ich 2 Meter Fließgeschwindigkeit pro Sekunde. Ich möchte aber</transcript><caption><image_10>The image is a screenshot of a whiteboard with a mathematical equation written on it. The equation is written in black marker and is divided into two parts. 

The first part of the equation is a cylinder with a length of 3.5mm and a width of 2.2mm. The cylinder is connected to a voltage source, which is represented by a blue circle. The voltage source is labeled as "V2 = V2" and the voltage source has a value of V2.

There are also several other equations written on the whiteboard, including "A, B, C, D, E, F, G, H, J, K, and L". The equations are written in a neat and organized manner, with some of them overlapping each other. The background of the image is white, and the equations are black.</caption> briefly a few body calculation exercises we had your tasks and that is a garbage car composes the collected garbage in order to save volume to a third of its original volume when the car has collected and compressed half of its capacity there are 18 cubic meters in the car if you assume that  that the cuboid interior is two meters wide and three meters high, the questions remain as to how long the interior is overall and how much more uncompressed it is  Garbage can be collected, well, I made this sketch because I said, well, here we were already looking for half a square meter, the real length is, well, now I have to think more about the half cuboid because it has a certain length  and then I quickly realize that I can say ok then I can set the formula like this: can say ok then I can set the formula like this: the volume of the small blue volume is two by three meters x l half eleven on half then I have  So if I change it to nine meters and write the corresponding answer then you have it further. The next thing is that it's the same volume, so the double volume of almost the entire device is 36 cubic meters and that's taken three times because when compressed to a third there are only 36  Cubic meters times 3 corresponds to 108 cubic meters, there are questions about this. The next task was an excavator shovel which warrants easily this had a semi-circular case semi-circular outer surfaces with others  words who in the trade cylinders do you don't really have to say anything the dimensions are clear next task we practiced and that is a pipe of drinking water has narrowed six centimeters to 4 decimeters over time starts from the ideal state appearance we have the following  In the uncovered pipe, if it had been normal, you can visualize the model better. I have a flow speed of two meters per second,
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