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
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?
