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
Two different positions of the same die are shown below. What is the number on the face opposite to the one having 6?
Select the possible cubes that can be formed by folding the given sheet.
Six letters P, Q, R, S, T and U are written on different faces of a dice. Two positions of this dice are shown in the following figure. Find the letter on the face opposite to to S.
Two different positions of the same die are shown below. What is the number on the face opposite to the one having 2?
Three different positions of the same dice are shown. Find the number on the face opposite the face showing the number '6'.
Three different positions of the same dice are shown. Find the number on the face opposite the face showing the number ‘4’.
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).
Important Questions from Cube, cuboid and Dice
Each of the six different faces of a cube has been coated with a different colour i.e., V, I, B, G, Y and O.
Following information is given:
1) Colours Y, O and B are on adjacent faces.
2) Colours I, G and Y are on adjacent faces.
3) Colours B, G and Y are on adjacent faces.
4) Colours O, V and B are on adjacent faces.
Which is the colour of the face opposite to the face coloured with O?
Three views of a cube following a particular motion are given below:
What is the letter opposite to A?
Six squares are coloured, front and back, red (R), blue (B), yellow (Y), green (G), white (W) and orange (0) and are hinged together as shown in the figure given below. If they are folded to form a cube, what would be the face opposite the white face?
A cuboid has six sides of different colours. The red side is opposite to black. The blue side is adjacent to white. The brown side is adjacent to blue. The red side is face down. Which one of the following would be the opposite of brown?
A cube has six numbers marked 1, 2, 3, 4, 5 and 6 on its faces. Three views of the cube are shown below:
What possible numbers can exist on the two faces marked and respectively on the cube?
