NCERT Solutions Class 7 Mathematics
Chapter – 15 (Visualising Solid Shapes)
The NCERT Solutions in English Language for Class 7 Mathematics Chapter – 15 Visualising Solid Shapes Exercise 15.1 has been provided here to help the students in solving the questions from this exercise.
Chapter : 15 Visualising Solid Shapes
- NCERT Solution Class 7 Maths Exercise – 15.2
- NCERT Solution Class 7 Maths Exercise – 15.3
- NCERT Solution Class 7 Maths Exercise – 15.4
Exercise – 15.1
1. Identify the nets which can be used to make cubes (cut out copies of the nets and try it):
Solution –
(i) The given net cannot be folded as cube.
(ii) The given net can be folded as cube.
(iii) The given net can be folded as cube.
(iv) The given net can be folded as cube.
(v) The given net cannot be folded as cube.
(vi) The given net can be folded as cube.
2. 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 –
(i)
By observing the above figure the sum of the opposite faces is equal to 7. So, the given net can be folded into a net of dice.
(ii)
By observing the above figure the sum of the opposite faces is equal to 7. So, the given net can be folded into a net of dice.
3. Can this be a net for a die?
Explain your answer.
Solution –
If one pair of opposite faces will have 1 and 4 on them, then their total does not come 7.
If we take 3 and 6 on the opposite faces of the die, then the total does not come 7.
Hence, this cannot be for a die.
4. 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 separate diagrams. If you like, you may use a squared sheet for easy manipulation.)
Solution – In the given net there are 3 faces and it can be completed as shown below,
5. Match the nets with appropriate solids:
Solution –