Question : Directions: Which of the following cubes in the answer figure cannot be made based on the unfolded cube in the question?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
Properties of a dice –
1. Opposite faces of a dice cannot appear or hide together.
2. Sides of the opposite faces of a dice cannot touch each other.
Rules to find the opposite faces of a dice when two or more positions of the dice are given –
1. When one face is common: Rotate the faces of one of the given positions of a dice clock/anti-clockwise starting from the common face. Countering faces in this process will be opposite faces.
2. When two faces are common: The remaining faces are opposite faces after the two common faces of a dice.
Opposite faces of the given unfolded dice after folding it –
Now, as per the properties of dice, all the given dice in the options can be formed but by the first rule of a dice (given above), the dice given in the fourth option give different opposite faces of the same dice after comparing it with another position of the same dice given in the other three options. So, the dice in the fourth option cannot be formed after folding the given dice.
Hence, the fourth option is correct.
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