Which box can NOT be formed if the given sheet of paper is folded to form a box ?
The faces opposite to each other are shown below:
⇒ As the alternate positions becomes opposite to each other and the remaining two faces becomes opposite to each other.
So, opposite pairs are:
- 2 → 9
- 3 → 8
- 6 → 7
Therefore,
- Option(1) →
⇒As 3, 7 and 9 faces three different sides i.e 8, 6 and 2 respectively, therefore this box can be formed. - Option(2) →
⇒ As 2 and 9 faces each other, so 2 and 9 cannot be on the sides which are not facing each other. Therefore this box cannot be formed. - Option(3) →
⇒ As 2, 6 and 8 faces three different sides i.e 9, 7 and 3 respectively, therefore this box can be formed. - Option (4) →
⇒ As 9, 7 and 8 faces three different sides i.e 2, 6 and 3 respectively, therefore this box can be formed.
Hence, "Option - (2)" is the correct answer.
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?
