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
Which cube given in the options CANNOT be made using the following sheet?
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)
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.
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.
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?
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?
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.
The following paper cutting is folded along the lines to make a cubical box. Select the correct image of the resulting box from among the options.
- 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?
Four different positions of the same dice are shown. Select the number that will be on the face opposite to the one having 5.
Important Questions from Cube and Dice
A cube of side 80 cm is painted yellow on all the faces and then cut into smaller cubes of sides 8 cm each. Find the number of smaller cube having all the three faces painted.
A cube of side 49 cm is painted purple on all the faces and then cut into smaller cubes of sides 7 cm each. Find the number of smaller cubes having only one face printed.
A cube of side 18 cm is painted yellow on all the faces and then cut into smaller cubes of sides 3 cm each. Find the number of smaller cubes that have only two faces painted.
A cube of side 12 cm is painted green on all the faces and then cut into smaller cubes of sides 2 cm each. Find the number of smaller cubes that have only one face painted.
Four friends J, Q, B and Z rolled the dice in alphabetical order.
The scores were:
1st round: 3, 2, 5, 2
2nd round: 1, 5, 1, 4
3rd round: 4, 2, 1, 1
If each point on the dice would get 10 points, who won the maximum points after 3 rounds?
