Read the given information and answer the question that follows.
The following are different views of the same cube.
Which of the following is definitely a pair of opposite faces?
To determine the pair of opposite faces on the cube, we need to analyze the different views provided in the images.
From the images of the cube provided, we identify the visible numbers on adjacent faces:
- In the first view, 1 is adjacent to 4 and 6.
- In the second view, 3 is adjacent to 5 and 2.
- In the third view, 2 is adjacent to 5 and 1.
- In the fourth view, 4 is adjacent to 3 and 6.
To determine which numbers are on opposite faces, we look for numbers that do not appear together in any view, indicating they are on opposite sides of the cube.
Analysis:
- Face 1 is shown with 4 and 6.
- Face 3 is shown with 5 and 2.
- Face 2 is shown with 5 and 1.
- Face 4 is shown with 3 and 6.
We can see that:
- Face 1 is never shown with Face 3. Hence, they must be opposite.
Thus, the pair of opposite faces is 1 and 3.
Conclusion: None of the views show faces 1 and 3 together which confirms that they are on opposite sides of the cube.
Similar Questions
Four different positions of the same dice are shown. Select the letter that will be on the face opposite to the one having the letter F.
Which cube given in the options CANNOT be made using the following sheet?
Two different positions of the same dice are shown. Select the number of dots that will be on the face opposite to the one with 2 dots.
Four different positions of the same dice are shown. Select the number that will be on the face opposite to the one having 5.
Two positions of a cubical block with faces A, B, C, D, E and F are shown below. When F is at the top which face will be at the bottom?
- 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?
A cube is made by folding the given sheet. In the cube so formed, what would be the letter on the opposite side of the letter A?
Three different positions of the same dice are shown. Select the pattern that will be on the face opposite to the one with the triangle.
Three different positions of the same dice (figures 1, 2, and 3) are shown. Which digit is on the face opposite to the one having 5?
1)
2)
3)
The following are different views of the same wooden block.
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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.
