Three different positions of the same dice are shown. Find the number on the face opposite the face showing '4'.
To find the number on the face opposite the face showing '4', we need to analyze the given positions of the dice carefully.
- The first dice position shows numbers: 6, 1, and 4. Here, 1 is adjacent to 4.
- The second position shows numbers: 2, 1, and 3. Here, 1 is adjacent to both 2 and 3.
- The third position shows numbers: 6, 4, and 5. Here, 4 is adjacent to both 6 and 5.
From these observations, we need to determine which number is opposite to 4:
- Since 1 is adjacent to 4 in the first position and adjacent to both 2 and 3 in the second position, 2 and 3 cannot be opposite 1. Thus, they must be on the remaining faces. Since they cannot be adjacent to 4 and 6 respectively in the other positions.
- Since 5 is seen in the third figure alongside 4, it cannot be opposite 4.
- This leaves 3 as the possible face opposite to 4 since it is not adjacent to 4 in any position.
Thus, the number on the face opposite the face showing '4' is 3.
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?
Three different positions of the same dice are shown. Select the number that will be on the face opposite to the face having the number '3'?
Select the dice that can be formed by folding the given sheet along the lines.
