Which of the cubes given in the options will be formed when the following sheet is folded along the lines?
To solve this problem, we need to determine how the given shape will form a cube when folded. Let's analyze the given sheet and the options.
The provided sheet is a net of a cube. When folded, each face will align to form a cube:
- Identify Opposite Faces: In a cube, each pair of opposite faces are not visible at the same time. By visually inspecting the net:
- Face 1 is opposite to Face 4.
- Face 2 is opposite to Face 6.
- Face 3 is opposite to Face 5.
- Determine Adjacent Faces: Faces that are not opposite are adjacent.
- Face 1 is adjacent to Faces 2, 6, and 5.
- Fold the Net: Visualize the folding:
- Face 1 becomes the base.
- Face 2 and 6 fold up to form sides.
- Faces 5 and 3 form the remaining sides, with Face 4 on top.
Now, let's compare this with the options provided to identify the correct cube. The correct cube will have opposite faces as determined and correctly aligned adjacent faces. The final option matches this description:
Thus, the correct answer is the cube shown in the last image above. This configuration satisfies the conditions of opposite and adjacent faces.
Similar Questions
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- If a cube of $3^{''} \times 3^{''} \times 3^{''}$ is painted on all sides and then cut into 27 smaller cubes of $1^{''} \times 1^{''} \times 1^{''}$, then how many such smaller cubes will be there that are painted only on two sides?
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1)
2)
3)
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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?
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.
