Which one among the following boxes is similar to the box formed from the given sheet of paper (X)?
[Image of unfolded box (X) and 4 folded box options (a, b, c, d) is part of the question prompt]
[amp_mcq option1=”[Image of option a]” option2=”[Image of option b]” option3=”[Image of option c]” option4=”[Image of option d]” correct=”option2″]
Blank
Blank Blank Circle Triangle
Dot
In this configuration (a row of 4 with one above the second/third and one below the fourth/fifth – assuming Circle is the third and Triangle the fourth), the opposite pairs would be:
(Blank, Dot)
(Blank, Blank)
(Circle, Triangle)
In a folded cube, opposite faces cannot be adjacent or visible simultaneously. Let’s check the options against these opposite pairs:
A) Circle, Triangle, Dot. Circle and Triangle are opposite. This cube cannot be formed.
B) Blank, Dot, Triangle. Blank (from the Blank/Blank pair), Dot (from the Blank/Dot pair), and Triangle (from the Circle/Triangle pair). One face from each opposite pair is visible. This cube can be formed.
C) Blank, Circle, Triangle. Circle and Triangle are opposite. This cube cannot be formed.
D) Blank, Blank, Dot. Two Blank faces are visible. For this to be possible, the two visible Blank faces must come from different opposite pairs. One Blank must be from the (Blank, Blank) pair, and the other Blank must be from the (Blank, Dot) pair. However, the Dot is also visible in this option. It is impossible to see the Blank from the (Blank, Dot) pair and the Dot from the same pair simultaneously. Therefore, this cube cannot be formed.
Option B is the only possible cube that can be formed from the given sheet.