According to the given figure, the six faces of a die carry the letters G, H, I, J, K and L. Which letter is on the face opposite the face marked J?
I
I is correct.
The first view shows J on top, L in front and H on the right. The second view shows L on top, K in front and I on the right. G, I and K never appear with J, so the opposite face must be found from the order of faces around L.
Looking at L from outside in the first view, the faces around it in clockwise order are J (above), H (right), then the face opposite J (below) and the face opposite H (left).
Looking down at L in the second view, the faces around it in clockwise order are the back face, I (right), K (front) and the left face, so I is followed directly by K.
In the order J, H, (opposite of J), (opposite of H), I can be followed directly by K only if the face opposite J is I and the face opposite H is K. The remaining letter G is opposite L. Hence, I is on the face opposite J.
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:
