Three different positions of the same dice are shown. Find the number on the face opposite the face showing '3'.
To find the number on the face opposite the face showing '3', we need to analyze the positions of the dice shown in the images.
- In the first position, we see the numbers 3, 2, and 4.
- In the second position, we see the numbers 3, 6, and 5.
- In the third position, we see the numbers 4, 3, and 6.
Let's use the logic of adjacency to determine the opposite face:
- The numbers adjacent to '3' in the first image are 2 and 4.
- The numbers adjacent to '3' in the second image are 6 and 5.
- The numbers adjacent to '3' in the third image are 4 and 6.
From these, we conclude that the numbers on opposite faces cannot be adjacent on the same face.
By identifying all numbers adjacent to '3', we have 2, 4, 6, and 5. The only number missing (which is not adjacent) is '1'. Therefore, '1' is on the face opposite '3'.
Conclusion: The number on the face opposite the face showing '3' is 1.
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.
