Two different positions of the same dice are shown. Find the number on the face opposite the face showing '18'.
To determine the number on the face opposite the face showing '18', we will analyze the two given dice positions.
**Observation of the Dice Positions:**
- In the first position, the numbers visible are 18, 20, and 21.
- In the second position, the numbers visible are 22, 20, and 21.
From these observations, we can deduce the following:
- The number 20 is adjacent to 18 as well as 22, being common in both views.
- The number 21 is also adjacent to 18 as well as 22, being present in both views.
**Conclusion:**
The number opposite 18 cannot be 20 or 21, since these are adjacent to 18. Therefore, the number opposite to 18 must be the one not visible in that first position but visible in the second position — which is 22.
Thus, the number on the face opposite the face showing '18' is 22.
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?
