NCERT Solutions for Class 7 Maths Exercise 15.1 Chapter 15 Visualising Solid Shapes

*According to the CBSE Syllabus 2023-24, this chapter has been renumbered as Chapter 13.

NCERT Solutions for Class 7 Maths Exercise 15.1 Chapter 15 Visualising Solid Shapes are provided here. These solutions not only help the students to clear all their doubts instantly but also help them to know the best answer to the particular questions in this NCERT Solutions for Class 7 Maths Chapter 15. In this exercise, students get to know about faces, edges, and vertices. Students can score good marks in Maths by practising these solutions.

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes – Exercise 15.1

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Exercise 15.2 Solutions

Exercise 15.3 Solutions

Exercise 15.4 Solutions

Access Answers to NCERT Class 7 Maths Chapter 15 – Visualising Solid Shapes Exercise 15.1

1. Identify the nets which can be used to make cubes (cut out copies of the nets and try it):

(i)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 1

Solution:-

The given net cannot be folded as a cube.

Because, it can be folded as below,
NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 2

(ii)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 3

Solution:-

The given net can be folded as a cube.

Because, it can be folded as below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 4

(iii)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 5

Solution:-

The given net can be folded as a cube.

Because, it can be folded as below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 6

(iv)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 7

Solution:-

The given net can be folded as a cube.

Because, it can be folded as below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 8

(v)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 9

Solution:-

The given net cannot be folded as a cube.

Because, it can be folded as below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 10

(vi)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 11

Solution:-

The given net can be folded as a cube.

Because, it can be folded as below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 12

2. Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them.

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 13

Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 14

Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.

Solution:-

(i)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 15

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)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 16

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.

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 17

Solution:-

The given net is folded as dice is shown in the figure below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 18

No, this cannot be a net for a die.

By observing the figure we can say that, one pair of opposite face will have 1 and 4, another pair of opposite face will have 3 and 6 the sum of these two opposite faces are not equal to 7.

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.)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 19

Solution:-

In the given net there are 3 faces and it can be completed as shown below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 20

5. Match the nets with appropriate solids:

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 21

Solution:-

(a) (ii)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 22
NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 23

Because, the net (ii) can be folded as a square.

(b) (iii)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 24
NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 25

Because, the net (iii) can be folded as a cylinder.

(c) (iv)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 26
NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 27

Because, the net (iv) can be folded as cone.

(d) (i)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 28
NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 29

Because, the net (i) can be folded as a pyramid.

Also, explore – 

NCERT Solutions for Class 7 Maths

NCERT Solutions for Class 7 

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