Six numbers 1, 2, 3, 4, 5 and 6 are written on different faces of a dice. Three positions of this dice are shown in the given figure. Find the number on the face opposite to the number 2.
To find the number on the face opposite to the number 2 on the given dice, we need to analyze the three positions of the dice shown in the image.
Let's analyze the positions:
- In the first position, we see the numbers 1, 2, and 5.
- In the second position, we see the numbers 2, 3, and 1.
- In the third position, we see the numbers 4, 5, and 6.
Based on these observations:
- The common number between the first and second positions is 2. This indicates that the faces showing 1 and 5 in the first position are adjacent to the face showing 2, as are the faces showing 3 and 1 in the second position.
- From the first and second positions, we can deduce that 3 and 5 are adjacent to 2.
- In the third position, numbers 4, 5, and 6 are visible, and we already know 5 is adjacent to 2.
Therefore, since 5 and 3 are already adjacent to 2, the opposite face must be 4, which is not adjacent.
Hence, the number on the face opposite to the number 2 is 4.
Similar Questions
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Important Questions from Cube and Dice
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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 is painted blue on two adjacent faces and on one opposite face, green on two opposite faces and pink on the remaining face. It is then cut into 64 equal cubes. How many cubes have only one blue-coloured face?
