Select the cube that can be formed by folding the given sheet along the lines. 

F1 Savita SSC 30-1-23 D17

F3 Vinanti SSC 28.02.23 D1 V2

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 1)
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  1. None are possible
  2. Only A and B
  3. Only C and D
  4. Only A

Answer (Detailed Solution Below)

Option 4 : Only A
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Detailed Solution

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The faces opposite to each other are shown below:

F1 Savita SSC 30-1-23 D23

⇒ As the alternate positions becomes opposite to each other and the remaining two faces becomes opposite to each other.

So, opposite pairs are:

  • 1 → 5
  • 2 → 6
  • 3 → 4

Therefore, according to the question :

  • Given figure A  F3 Vinanti SSC 28.02.23 D2 V2
  • ⇒ Can be formed as a cube from the given sheet (As 2,5 and 3 are one of the numbers of each opposite pairs)
  • Given figure B → F1 Savita SSC 30-1-23 D20
  • ​⇒ Cannot be formed as a cube from the given sheet (As 5 is opposite to 1)
  • Given figure C → F1 Savita SSC 30-1-23 D21
  • Cannot be formed as a cube from the given sheet (As 2 is opposite to 6)
  • Given figure D → F1 Savita SSC 30-1-23 D22
  • ​⇒ Cannot be formed as a cube from the given sheet (As 5 is opposite to 1)

​Here, Only figure A can be formed as a cube from the given sheet.

Hence, "Only A" is the correct answer.

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