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
Pairs of adjacent sides of a big cube are coloured with red, yellow and brown colour. Now this big cube is divided into 64 small equal cubes. How many small cubes will have 3 faces painted with different colours?
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?
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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?
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