If the given sheet is folded to form a cube, which of the given figures are possible?
(The numbers are shown to indicate the sides only.)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Only 2, 3, and 4.
When the sheet is folded along the lines to form a cube, the opposite pairs are;
5 is opposite to 6. 3 is opposite to 4. 1 is opposite to 2.
In option 1, opposite pairs 5 and 6 are adjacent to each other. Hence, cube 1 cannot be formed.
In options 2, 3 and 4 no opposite pairs are adjacent to each other. Hence, all three cubes can be formed.