Three different positions of the same dice are shown. Find the number on the face opposite the face showing '3'.
To find the number on the face opposite the face showing '3', we need to analyze the positions of the dice shown in the images.
- In the first position, we see the numbers 3, 2, and 4.
- In the second position, we see the numbers 3, 6, and 5.
- In the third position, we see the numbers 4, 3, and 6.
Let's use the logic of adjacency to determine the opposite face:
- The numbers adjacent to '3' in the first image are 2 and 4.
- The numbers adjacent to '3' in the second image are 6 and 5.
- The numbers adjacent to '3' in the third image are 4 and 6.
From these, we conclude that the numbers on opposite faces cannot be adjacent on the same face.
By identifying all numbers adjacent to '3', we have 2, 4, 6, and 5. The only number missing (which is not adjacent) is '1'. Therefore, '1' is on the face opposite '3'.
Conclusion: The number on the face opposite the face showing '3' is 1.
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?
