Two positions of a dice are given below. What will come on the face opposite to the face containing '2' on it?
To determine the number on the face opposite to the face containing '2', we need to analyze the given views of the dice.
The two positions of the dice are shown as follows:
In the left diagram, we see the numbers 4, 1, and 2 visible. In the right diagram, the numbers 5, 3, and 4 are visible.
By comparing both positions, we notice that the number '4' is common in both positions. This helps us establish a relationship between other numbers.
In the left view:
- Numbers visible: 4, 1, 2
In the right view:
- Numbers visible: 4, 5, 3
Since '4' is common, the remaining numbers can be paired. From the two views:
- If '4' is common, then '1' must pair with '5' and '2' must pair with '3'.
Thus, the number opposite '2' is 3.
Therefore, the correct answer is 3.
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.
