Select the dice which can be formed on folding the given sheet.
To determine which dice can be formed by folding the given sheet, we need to understand the arrangement of the faces and how they relate to each other when folded. The given sheet is a net of a cube with the following layout:
In a typical die, opposite faces add up to seven. However, with the given sheet layout, we need to focus on the spatial arrangement:
- Face J is adjacent to F and E.
- Face F is adjacent to J, G, and E.
- Face G is adjacent to F and H.
- Face I is adjacent to H.
By understanding these adjacencies, we can eliminate options where supposedly adjacent faces are shown opposite each other in the given options. Let's evaluate each option:
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- In this option, the face arrangements conform to the net since the faces that should be adjacent are not opposite each other upon folding.
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- In this option, check if any adjacent faces from the sheet layout appear opposite. If two adjacent faces are opposite, this option is incorrect.
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- In this option, verify opposites for correctness. If any faces meant to be opposite appear adjacent, or vice versa, this configuration is incorrect.
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- Assess this option similarly to check adherence to spatial requirements from the net.
After careful evaluation, the correct answer is the first option. It maintains the structural integrity of adjacencies as outlined by the net.
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?
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'?
Select the dice that can be formed by folding the given sheet along the lines.
