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Question

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

The correct answer is

Opposite surface of the open dice can be found by the below method:-

  • Alternate surfaces are opposite to each other.
  • No two opposite surface are touched by side or by corners

So, by using the above rule we can find the opposite surface of open dice.

In the given figure, Opposite faces are :

1)
 → Opposite faces are seen together so, this cube cannot be formed.
2) 
 →  Opposite faces are seen together so, this cube cannot be formed.
3) 
 →  None of the opposite faces are seen together nor they are adjacent to each other so, This cube can be formed.
4)  → Opposite faces are seen together so, this cube cannot be formed.

Hence, the correct answer is "option 3".

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Important Questions from Cube and Dice

  1. A cube of side 80 cm is painted yellow on all the faces and then cut into smaller cubes of sides 8 cm each. Find the number of smaller cube having all the three faces painted.

  2. A cube of side 49 cm is painted purple on all the faces and then cut into smaller cubes of sides 7 cm each. Find the number of smaller cubes having only one face printed.

  3. A cube of side 18 cm is painted yellow on all the faces and then cut into smaller cubes of sides 3 cm each. Find the number of smaller cubes that have only two faces painted.

  4. A cube of side 12 cm is painted green on all the faces and then cut into smaller cubes of sides 2 cm each. Find the number of smaller cubes that have only one face painted.

  5. Four friends J, Q, B and Z rolled the dice in alphabetical order.

    The scores were:

    1st round: 3, 2, 5, 2

    2nd round: 1, 5, 1, 4

    3rd round: 4, 2, 1, 1

    If each point on the dice would get 10 points, who won the maximum points after 3 rounds?

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