A cube with an edge length of 10 is divided into two cuboids with integer edge length by a flat cut.
Afterwards, one of these cuboids is again being divided into two smaller cuboids with integer edge lengths by a second flat cut.
What´s the smallest possible volume of the biggest of the three cuboids? (The result needs to be PROVEN!)
Dividing a cube
- Mehrab4226
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Re: Dividing a cube
Ans:
Proof:
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Re: Dividing a cube
A flat cut divides a cube with ten edge lengths into two cuboids with integer edge lengths.
After that, a second flat cut divides one of these cuboids into two smaller cuboids with integer edge lengthsoctordle
After that, a second flat cut divides one of these cuboids into two smaller cuboids with integer edge lengthsoctordle