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Given the following 3D object and means of an unmarked ruler to draw lines on its surface define a straight cut that will split it into two objects with the same volume.

Hint: It seems to have at least four solutions. There might be six.

Let me know if an additional view of the object is required.

enter image description here

Some examples of marks with an unmarked ruler are presented as black lines in the drawing. They are examples and not any suggestion for a solution.

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  • $\begingroup$ Are the black lines intentional? $\endgroup$
    – Bass
    Commented Mar 1, 2021 at 10:24
  • $\begingroup$ @Bass The black lines are intentional and just examples of type of marking on surface that may be made to help with the selected bisecting. This is a result of some questions about what is allowed (was this you?). $\endgroup$
    – Moti
    Commented Mar 1, 2021 at 19:03
  • $\begingroup$ Can we assume that the shape is made up from three cuboids? For example, are lines AB and CD parallel, is corner A constructed from three right angles, are points A,E,S all on one straight line, etc.? $\endgroup$
    – Penguino
    Commented Mar 1, 2021 at 23:09
  • $\begingroup$ Yes. On top of the large cuboid two smaller are placed at the corners - as the drawing supposedly should/hopefully depict. $\endgroup$
    – Moti
    Commented Mar 3, 2021 at 2:07

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