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 given dice positions.
We have three positions of the same dice:
- Position 1 shows the numbers 3, 4, and 2.
- Position 2 shows the numbers 3, 6, and 5.
- Position 3 shows the numbers 3, 6, and 2.
Step-by-step logic to find the opposite face:
- In all three positions, the number '3' is common and visible in all cases.
- Compare Position 1 and Position 3:
- Common number visible = 3
- Other numbers are 4, 2 (Position 1) and 6, 2 (Position 3).
- Common number across other faces = 2
- Now, observe Position 2:
- Common visible number with Position 1 is 3.
- However, the number '2' is not present, confirming it's opposite to 5.
- Since the dice has a total of 6 numbers and from the above logic, the opposite of 3 cannot be 4, 5, or 6, it must be 1 (taking numbers 2 and 3 into account and Position validation).
Thus, 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?
Two different positions of the same dice are shown, the six faces of which are marked with the letters A to F. Select the letter that will be on the face opposite to the one having A.
A Cube is coloured blue on all the faces. It is then cut into 64 smaller cubes. These cubes are now separated. The number of smaller cubes with no surface coloured is:
