Three different positions of the same dice are shown. Select number that will be on the face opposite to the one having 4. 
To determine the number on the face opposite to the one having 4, we will analyze the positions of the numbers in the three views of the dice given.
- Observe the first and second positions:
- From the first position, we have faces with numbers 4, 1, and 5 visible.
- From the second position, we see faces with numbers 4, 1, and 2 visible.
The common faces visible in both are 4 and 1. Thus, 5 and 2 cannot be opposite to 4 or 1.
- Observe the second and third positions:
- From the second position, we see faces with numbers 4, 1, and 2 visible.
- From the third position, we see faces with numbers 4, 2, and 3 visible.
The common face visible in both is 4 and 2. Thus, 1 and 3 cannot be opposite to 4 or 2.
- From the first and third positions:
- The numbers visible in the first position are 4, 1, and 5.
- The numbers visible in the third position are 4, 2, and 3.
Common visible number is 4. Therefore, 1, 5, 2, and 3 cannot be opposite to 4. This directly implies that 6 should be opposite to 4 since all other numbers have been accounted for or visible.
Based on the analysis, the number on the face opposite to the one having 4 is 6.
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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?
