Understanding Dice Opposite Faces
This problem involves a standard six-sided dice. We need to determine the number on the face opposite to the face showing '2', given some information about other opposite faces.
Key Properties of a Standard Dice
- A standard dice has six faces, numbered from 1 to 6.
- A crucial property is that the sum of the numbers on opposite faces is always constant. For a standard dice, this sum is 7.
Analyzing the Given Information
The question provides the following pairings:
- Face 1 is opposite to face 6. (Check: \(1 + 6 = 7\))
- Face 3 is opposite to face 4. (Check: \(3 + 4 = 7\))
These pairings confirm that we are dealing with a standard dice where opposite faces sum to 7.
Calculating the Opposite Face for '2'
We need to find the number on the face opposite to the face showing '2'. Using the property that opposite faces sum to 7:
Let the number opposite to '2' be \(x\).
According to the dice rule: \(2 + x = 7\)
To find \(x\), we rearrange the equation:
\(x = 7 - 2\)
\(x = 5\)
Conclusion
Therefore, the number on the face opposite to the face showing '2' is 5.
Similar Questions
Select the possible cubes that can be formed by folding the given sheet.
Choose the box that is similar to the box formed from the given sheet of paper (x).
Select the possible cubes that can be formed by folding the given sheet.
Important Questions from Cube, cuboid and Dice
What would be the symbol on the opposite side of ‘@’ if the given sheet is folded to form a cube?
Six letters J, K, L, M, N and O are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the letter on the face opposite to J.
Six letters U, V, W, X, Y, and Z are written on different faces of a dice. Two positions of this dice are shown in the figure. Find the letter on the face opposite to V.
Six letters B, F, D, X, N, and A are written on different faces of a dice. Two positions of this dice are shown in the figures below. Find the letter on the face opposite to D.
Six letters G, H, I, J, K, and L are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the letter on the face opposite to G.
