Two positions of a rotated cube are shown below.
Which number will be at the bottom, when 5 is on the top?
To determine which number will be at the bottom when 5 is on the top, let's analyze the two positions of the cube shown:
From the first position of the cube:
- The visible numbers are 1, 5, and 2.
From the second position of the cube:
- The visible numbers are 5, 3, and 6.
Notice the common number between the two positions is \(5\). Therefore, the relationship between the other numbers can be extrapolated:
- In the first position, with 5 on the front, the numbers adjacent are 1 (top) and 2 (right).
- In the second position, with 5 on the front, the numbers adjacent are 3 (top) and 6 (right).
Since 5 is common and the top numbers are different in each case, the numbers on the unseen face (opposite of 5) must be the numbers not visible in either picture when 5 is shown — these are 4 and the unseen counterpart.
Conclusion: If 5 is on top, the number directly opposite to it (i.e., at the bottom) will be 4.
Hence, the correct answer is \(4\).
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?
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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?
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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.
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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.
