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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 and 2 only

B 1 and 3 only

C 3 and 4 only

D 1, 2, 3 and 4

ANS:B - 1 and 3 only

The fig. (X) is similar to the Form VIII. So, when a cube is formed by folding the sheet shown in fig. (X), then and are the two faces and these two faces lie opposite to each other. Also, the face bearing the 'x' sigh lies opposite to the face bearing the black circle and the face bearing the white circle lies opposite to the face bearing the square (having a dot inside it). Now, the cubes in figures (2) and (4) consist of faces which are not formed when the sheet in fig. (X) is folded. Hence, these two cubes are not, formed. Therefore, only the cubes in figures (1) and (3) are formed.



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