Choose the box that is similar to the box formed from the given sheet of paper (X).
Updated On: Aug 16, 2023
1 and 2 only
1, 2 and 4 only
1 and 4 only
1, 2 and 3 only
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The Correct Option isB
Approach Solution - 1
The correct option is B) based on the given information. When the sheet shown in figure (X) is folded to form a cube, the shaded face will be opposite one of the blank faces, the face with a circle will be opposite another blank face, and the face with a shaded square will be opposite the third blank face. This information allows us to determine that each of the cubes shown in figures (1), (2), and (4) can be formed. However, the cube shown in figure (3) cannot be formed because even though its faces can appear adjacent to each other, it is not possible to rotate the cube formed by folding the sheet in figure (X) to match the configuration in figure (3).
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Approach Solution -2
For this, we need to fold the given sheet into a cube. A cube has six square-shaped, equal sides. there are eight vertices and twelve edges. All of these are of the same length.
Once this is done, analyze the sides that are facing one another.
The shaded face will be opposite one of the blank faces, the face with a circle will be opposite another blank face, and the face with a shaded square will be opposite the third blank face.
By looking at this, we can conclude that each of the cubes shown in Figures (1), (2), and (4) can be formed. However, the cube shown in Figure (3) cannot be formed because even though its faces can appear adjacent to each other, it is not possible to rotate the cube formed by folding the sheet in Figure (X) to match the configuration in Figure (3).
