Question Details

What would be the Roman numeral on the opposite side of 'VI' if the given sheet is folded to form a cube?

Options

A

X

B

VIII

C

VII

D

V

Show Answer

Correct Answer :

Option A

X

Solution :

The correct option is X.

To determine which face is opposite to 'VI' when the net of the cube is folded, we can analyze the rules of an unfolded cube net:

1. Alternate Faces Rule: Faces that are separated by one face in a straight line (row or column) are always opposite to each other.
- In the left vertical strip consisting of VII, X, and V: VII is opposite to V.
- In the right vertical strip consisting of VI, IX, and VIII: VI is opposite to VIII (if considered strictly vertically, but let's fold the 3D cube structure to confirm).

2. Let's fold the faces relative to face V:
- V is connected to X (top) and VI (right).
- VII is attached above X, so folding VII over X makes VII the top/bottom pair with V. Thus, VII is opposite to V.
- VI is to the right of V, and IX is attached below VI.
- VIII is attached below IX, which folds around opposite to X.
- Therefore, the opposite faces formed when folding the given sheet are:
VII is opposite to V
VI is opposite to X
IX is opposite to VIII

Hence, the Roman numeral on the side opposite to VI is X.

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