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Question

Three different positions of the same dice are shown. Find the number on the face opposite the face showing '4'. 

The correct answer is
3

To find the number on the face opposite the face showing '4', we need to carefully analyze the different positions of the dice shown in the images.

Dice Positions
  1. From the first position, observe that the numbers 6, 5, and 3 are visible.
  2. In the second position, the numbers visible are 1, 2, and 3. Notice here that '3' is common with the first position.
  3. From this, we can infer that the numbers on the opposite faces in the first and second positions are:
    • 6 and 1
    • 5 and 2
  4. In the third position, the numbers visible are 4, 5, and 6. Knowing from above:
    • '5' is opposite '2'
    • '6' is opposite '1'
  5. Therefore, by elimination, '4' must be opposite '3'.

Hence, the number on the face opposite the face showing '4' is 3.

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Important Questions from Cube and Dice

  1. 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?

  2. 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?

  3. 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?

  4. 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'?

  5. Select the dice that can be formed by folding the given sheet along the lines.

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