Select the correct answer choice which could be formed by folding the unfolded dice, considering only the pairs of opposite faces.
Only (iii)
In the net, faces 1, 2, 3 and 4 lie in one straight strip. When the strip is folded into a ring, alternate faces become opposite: 1 is opposite 3 and 2 is opposite 4. The two faces outside the strip, 6 (beside 2) and 5 (beside 4), close the two open ends, so 5 is opposite 6.
Two opposite faces can never be seen together on a folded die. Figure (i) shows 2 and 4 together, while figures (ii) and (iv) each show 5 and 6 together, so these three figures cannot be formed from the net.
Figure (iii) shows 2, 3 and 6. None of these three faces form an opposite pair (the opposite pairs are 1–3, 2–4 and 5–6), so it is the only figure that passes the opposite-face test. Every other choice names at least one impossible figure.
Only (iii) option is correct.
Similar Questions
If B is at the top, find the letter which will be opposite to it, by using the following figures.
Important Questions from Cube and Dice
A cube of side 4 cm is painted green on all its faces and then divided into smaller cubes of side 2 cm each. How many small cubes have been obtained?
Two adjacent faces of a solid cube are painted with black colour. The faces opposite to the black faces is painted with blue colour while the remaining faces are painted with yellow colour. After painting, this cube has been divided into 125 equal cubes. How many cubes have no faces painted?
A cube, whose two adjacent faces are coloured, is cut into 64 identical small cubes. How many of these small cubes are not coloured at all?
Two different positions of the same dice are shown, the six faces of which are marked with the letters A to F. Select the letter that will be on the face opposite to the one having A.
A Cube is coloured blue on all the faces. It is then cut into 64 smaller cubes. These cubes are now separated. The number of smaller cubes with no surface coloured is:
