Three different positions of the same dice are shown. Find the number on the face opposite the face showing '4'.
To find the number on the face opposite the face showing '4', we need to analyze the given positions of the dice carefully.
- The first dice position shows numbers: 6, 1, and 4. Here, 1 is adjacent to 4.
- The second position shows numbers: 2, 1, and 3. Here, 1 is adjacent to both 2 and 3.
- The third position shows numbers: 6, 4, and 5. Here, 4 is adjacent to both 6 and 5.
From these observations, we need to determine which number is opposite to 4:
- Since 1 is adjacent to 4 in the first position and adjacent to both 2 and 3 in the second position, 2 and 3 cannot be opposite 1. Thus, they must be on the remaining faces. Since they cannot be adjacent to 4 and 6 respectively in the other positions.
- Since 5 is seen in the third figure alongside 4, it cannot be opposite 4.
- This leaves 3 as the possible face opposite to 4 since it is not adjacent to 4 in any position.
Thus, the number on the face opposite the face showing '4' 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?
