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 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?
