Cubes and Dice

Directions to SolveThe sheet of paper shown in the figure (X) given on the left hand side, in each problem, is folded to form a box. Choose from amongst the alternatives (1), (2), (3) and (4), the boxes that are similar to the box that will be formed.

Q1: Choose the box that is similar to the box formed from the given sheet of paper (X).

A 1 only

B 2 only

C 3 only

D 4 only

ANS:D - 4 only

The fig. (X) is similar to the Form VI. So, when the cube is formed by folding the sheet shown in fig. (X), then is one of the faces of the cube and this face lies opposite to the face bearing a circle. Also, one of the blank faces lies opposite to another blank face and yet another blank face lies opposite to the fourth blank face. Thus, out of the four blank faces, no three faces can appear adjacent to each other. Clearly, the cube in fig. (1) cannot be formed since there is no face of the type , the cube in fig. (2) cannot be formed since it shows three blank faces adjacent to each other and the cube in fig. (3) cannot be formed since the face cannot appear adjacent to the face bearing the circle. Hence, only the cube in fig. (4) can be formed.



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