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Posted

This question has five parts and needs five answers

Cut a cube of side 2 cms into eight identical pieces such that the surface area of each piece is :

A.  6 sq cms
B.  4 + 22 sq cms
C.  5 + 22 sq cms
D.  10 sq cms
E.   6 + 24.25 sq cms

Posted
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Posted
  On 1/6/2023 at 9:01 AM, md65536 said:
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Your answer to A. is correct.

Similarly all other Cuts are Planar and no Curve/convex or Concave surface needed.

Correct Cuts and dimensions to be revealed.

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Posted
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You can change the area continuously for some of these cuts just by rotating the cube, so I still suspect there might be some with multiple answers.

Posted (edited)

I found some ranges where you can create pieces of any area in the range, but none of them overlap at any of the values of A through E. Was that on purpose? Because, I found some other possible areas of pieces, including one that has 2 different answers.

So I'll extend the puzzle with these...

Cut a cube of side 2 cms into eight identical pieces such that the surface area of each piece is :

F: 7 sq cms

G: 6 + 2 sq cms

H: 5 + 5 sq cms

Then bonus: For which pairs of A through H is it possible to create 8 identical pieces with a surface area anywhere in between the two? Based on that answer, how would you cut one cube into 8 identical pieces of surface area a, and cut another cube into 8 identical pieces also of surface a but with a different shape than those from the first cube?

I'm not certain that I haven't made any errors here!

Edited by md65536
  • 3 months later...
Posted
  On 1/7/2023 at 9:21 AM, md65536 said:
  Reveal hidden contents

You can change the area continuously for some of these cuts just by rotating the cube, so I still suspect there might be some with multiple answers.

Expand  

 

  On 1/7/2023 at 9:21 AM, md65536 said:
  Reveal hidden contents

You can change the area continuously for some of these cuts just by rotating the cube, so I still suspect there might be some with multiple answers.

Expand  

 

  On 1/7/2023 at 9:21 AM, md65536 said:
  Reveal hidden contents

You can change the area continuously for some of these cuts just by rotating the cube, so I still suspect there might be some with multiple answers.

Expand  

I think you are absolutely right

Well done

If there is any error I will report after studying

Bcoz my answers while creating the puzzle was  with similar solutions in mind

Great Show !

 

Posted
  On 4/21/2023 at 5:15 AM, Commander said:

 

 

I think you are absolutely right

Well done

If there is any error I will report after studying

Bcoz my answers while creating the puzzle were with similar solutions in mind

Great Show !

 

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