Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them.
Here are two nets to make dice [cubes]; the numbers inserted in each square indicate the number of dots in that box.
Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.
Solution:
As we know dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them. Also, in this question nets to make dice [cubes] is given along with the numbers inserted in each square to indicate the number of dots in that box.
We will be placing the numbers in such a way that the sum of the opposite faces always adds up to 7.
In figure [i] 1st blank net will be number 1 in dice because opposite to it will be 6 as given. 2nd net will be 3 as the opposite face to it will is 4 as given and the last 3rd net will be 2 as the opposite face to it will be 5.
In figure [ii] 1st blank net will be number 5 in dice because opposite to it will be 2 as given. 2nd net will be 6 as the opposite face to it will be 1 as given and the last 3rd net will be 4 as the opposite face to it will be 3.
☛ Check: NCERT Solutions for Class 7 Maths Chapter 15
Video Solution:
Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them. Here are two nets to make dice [cubes]; the numbers inserted in each square indicate the number of dots in that box. Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.
Maths NCERT Solutions Class 7 Chapter 15 Exercise 15.1 Question 2
Summary:
Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them. There are two nets given to make dice [cubes]; the numbers inserted in each square indicate the number of dots in that box.
Thus the numbers in the blanks of the first net is 1, 3 and 2 as shown in
the diagram above. Thus the numbers in the blanks of the first net is 5, 6 and 4 as shown in the diagram above
☛ Related Questions:
- Can This Be A Net For A Die Explain Your Answer
- Here Is An Incomplete Net For Making A Cube Complete It In At Least Two Different Ways Remember That A Cube Has Six Faces How Many Are There In The Net Here Give Two
- Match The Nets With Appropriate Solids
- Use Isometric Dot Paper And Make An Isometric Sketch For Each One Of The Given Shapes
Non Verbal Reasoning - Cubes and Dice
| 11. | What will be the number at the bottom, if 5 is at the top; the two positions of the dice being as given below: |
Answer: Option B Explanation: From figures [i] and [ii], it is clear that 4, 1, 3 and 6 he adjacent to 2. Therefore, 5 must lie opposite 2. Thus, if 5 is at the top, then 2 must be at the bottom. |
| 12. | If the total number of dots on opposite faces of a cubical block is always 7, find the figure which is correct. |
Answer: Option B Explanation: Since the total number of dots on opposite faces is always 7, therefore, 1 dot appears opposite 6 dots, 2 dots appear opposite 5 dots and 3 dots appear opposite 4 dots. |