How many dots lie opposite to the face having five dots, when the given figure is folded to form a cube?
To solve the problem of determining which face is opposite the one with five dots when the given figure is folded into a cube, we need to examine the arrangement of the faces:
In the given net of a cube:
- The face with four dots is adjacent to the face with five dots.
- The face with three dots is also adjacent to the face with five dots.
- By observation, opposite faces in a cube layout are not adjacent.
From the above analysis, since adjacent faces cannot be opposite faces and only the face with four dots is not touching the face with five dots, the face with four dots lies opposite the face with five dots.
Thus, the number of dots opposite the face with five dots is 4.
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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.
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