RAS question
A dice is made from an open figure (cross-shaped net) where the faces are numbered 1 to 6 from left to right and top to bottom as: top=2, left=3, centre=1, right=5, bottom=4, far-bottom=6. When folded, which number will be opposite to 1?
Correct answer: (C) 6.
In the given cross-shaped net of the dice, 6 folds to the face opposite 1.
Explanation
NCERT explains that a net is a 2-D outline of a solid that can be folded to make the solid, and that the flat surfaces of a solid are its faces. In this net, 1 is the centre face. The four faces directly attached to it, 2 at the top, 3 at the left, 5 at the right and 4 at the bottom, fold around 1 to form the four side faces of the dice. The remaining face, 6, is attached below 4; when the net closes into the cube, that extra lower square folds up across from the centre square. Therefore, 6 is opposite 1.
Why the other options are wrong
- (A) 5 is directly to the right of 1 in the net, so it folds as an adjacent side face, not as the opposite face.
- (B) 4 is directly below 1 in the net and becomes one of the side faces touching 1 when folded.
- (D) 2 is directly above 1 in the net, so it also folds adjacent to 1 rather than opposite it.
Concept
This tests visualising solid shapes from a 2-D net, especially how adjacent and opposite faces change when a cube is folded. Such net-based cube questions recur in RAS reasoning because they check spatial reasoning without calculation.