NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes
Get here NCERT Solution for Class 7 Maths Chapter 15 for Free. NCERT Solutions for Maths Class 7 provided here are best answers by AglaSem School experts, who have many year of experience in this field. Class 7 NCERT Textbook Solutions cover all the exercises of each chapter. NCERT Solutions for Class 7 Maths Book are given below.
Book Name: Maths
Subject: Maths
Chapter Number: 15
Chapter Name: Visualising Solid Shapes
You can also bookmark this page by clicking + Save to Library icon and refer to these NCERT Solutions anytime from your account. More Detail
Book Name: Maths
Subject: Maths
Chapter Number: 15
Chapter Name: Visualising Solid Shapes
You can also bookmark this page by clicking + Save to Library icon and refer to these NCERT Solutions anytime from your account. More Detail
Latest News
Finished viewing? Save it for later —
Download NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes (PDF · 13 pages)Downloaded 59 times
About NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes
NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes is available here for free download. Published by NCERT for Class 7, this solution can be viewed online or downloaded as a PDF (13 pages). Candidates preparing for Class 7 can use NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes to understand the exam pattern, the type of questions asked, and the overall difficulty level.
Frequently Asked Questions
How can I download NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes?
Open this page and click the Download button to save NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes as a PDF. It is completely free on AglaSem Docs.
Is NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes free to download?
Yes. NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes can be viewed online and downloaded as a PDF free of cost on AglaSem Docs.
How many pages does NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes have?
NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes contains 13 pages, which you can read online or download together as a single PDF.
Where can I find more Class 7 study material?
You can find more Class 7 question papers, sample papers, syllabus, and answer keys on AglaSem Docs.
NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes – Text
Read the full text of this solution below — useful to quickly search, copy and reference the content online without downloading the PDF.
📄 View text version (13 pages)
Page 1
NCERT
SOLUTIONS
CLASS - 7TH
aglase .co
SOLUTIONS
CLASS - 7TH
aglase .co
Page 2
Book : Mathematics Ncert Solutions | Chapter-15 Maths
Class : 7th
Subject : Maths
Chapter : 15
Chapter Name : Visualising Solid Shapes
Exercise 15.1
Q1 Identify the nets which can be used to make cubes (cut out copies of the nets and try it)
Answer. (i) The given net can be folded as follows.
When the faces that are in sky blue colour and in pink colour are folded to make a cube, they will be
overlapping each other.
(ii) The given net can be folded as follows.
A cube can thus be formed in the above way.
(iii) The given net can be folded as follows.
A cube can thus be formed in the above way.
(iv) The given net can be folded as follows.
A cube can thus be formed in the above way,
(v) The given net can be folded as follows.
Page 1 of 12 Aglasem Schools
Class : 7th
Subject : Maths
Chapter : 15
Chapter Name : Visualising Solid Shapes
Exercise 15.1
Q1 Identify the nets which can be used to make cubes (cut out copies of the nets and try it)
Answer. (i) The given net can be folded as follows.
When the faces that are in sky blue colour and in pink colour are folded to make a cube, they will be
overlapping each other.
(ii) The given net can be folded as follows.
A cube can thus be formed in the above way.
(iii) The given net can be folded as follows.
A cube can thus be formed in the above way.
(iv) The given net can be folded as follows.
A cube can thus be formed in the above way,
(v) The given net can be folded as follows.
Page 1 of 12 Aglasem Schools
Page 3
Book : Mathematics Ncert Solutions | Chapter-15 Maths
When the faces that are in blue colour and in red colour are folded to make a cube, they will be
overlapping each Other.
(vi) The given net can be folded as follows.
A cube can thus be formed in the above way.
Page : 281 , Block Name : Exercise 15.1
Q2 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.
Answer. (i) The numbers can be inserted as follows so as to make the given net into a net of a dice.
It can be observed that the sum of the opposite faces is 7.
(ii)The numbers can be inserted as follows so as to make the given net into a net of a
Dice.
It can be Observed that the sum Of the opposite faces is 7.
Page : 281 , Block Name : Exercise 15.1
Q3 Can this be a net for a die? Explain your answer.
Answer. The given net can be folded as follows:
It can be observed that the opposite faces of the dice so formed have 2 and 5, 1 and 4, 3 and 6 on them.
The sum of the numbers on the opposite faces comes to 7, 5, 9 respectively. However, in case of a dice,
the Sum Of the numbers On the Opposite faces should be 7. Hence, this net is not of a dice.
Page 2 of 12 Aglasem Schools
When the faces that are in blue colour and in red colour are folded to make a cube, they will be
overlapping each Other.
(vi) The given net can be folded as follows.
A cube can thus be formed in the above way.
Page : 281 , Block Name : Exercise 15.1
Q2 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.
Answer. (i) The numbers can be inserted as follows so as to make the given net into a net of a dice.
It can be observed that the sum of the opposite faces is 7.
(ii)The numbers can be inserted as follows so as to make the given net into a net of a
Dice.
It can be Observed that the sum Of the opposite faces is 7.
Page : 281 , Block Name : Exercise 15.1
Q3 Can this be a net for a die? Explain your answer.
Answer. The given net can be folded as follows:
It can be observed that the opposite faces of the dice so formed have 2 and 5, 1 and 4, 3 and 6 on them.
The sum of the numbers on the opposite faces comes to 7, 5, 9 respectively. However, in case of a dice,
the Sum Of the numbers On the Opposite faces should be 7. Hence, this net is not of a dice.
Page 2 of 12 Aglasem Schools
Page 4
Book : Mathematics Ncert Solutions | Chapter-15 Maths
Page : 281 , Block Name : Exercise 15.1
Q4 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.)
Answer. There are 3 faces in the given net. The given net can be completed as follows:
Page : 282 , Block Name : Exercise 15.1
Q5 Match the nets with appropriate solids
Page 3 of 12 Aglasem Schools
Page : 281 , Block Name : Exercise 15.1
Q4 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.)
Answer. There are 3 faces in the given net. The given net can be completed as follows:
Page : 282 , Block Name : Exercise 15.1
Q5 Match the nets with appropriate solids
Page 3 of 12 Aglasem Schools
Page 5
Book : Mathematics Ncert Solutions | Chapter-15 Maths
Answer. (i) - (d)
(ii) - (a)
(iii) - (b)
(iv) - (c)
Page 4 of 12 Aglasem Schools
Answer. (i) - (d)
(ii) - (a)
(iii) - (b)
(iv) - (c)
Page 4 of 12 Aglasem Schools
Page 6
Book : Mathematics Ncert Solutions | Chapter-15 Maths
Page : 282 , Block Name : Exercise 15.1
Exercise 15.2
Q1 Use isometric dot paper and make an isometric sketch for each one of the given shapes:
Page 5 of 12 Aglasem Schools
Page : 282 , Block Name : Exercise 15.1
Exercise 15.2
Q1 Use isometric dot paper and make an isometric sketch for each one of the given shapes:
Page 5 of 12 Aglasem Schools
Page 7
Book : Mathematics Ncert Solutions | Chapter-15 Maths
Answer.
Page : 285 , Block Name : Exercise 15.2
Q2 The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this
cuboid.
Answer. 3 isometric sketches of the given cuboid can be drawn as follows.
Page : 285 , Block Name : Exercise 15.2
Q3 Three cubes each with 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or
isometric sketch of this cuboid.
Answer.
Page 6 of 12 Aglasem Schools
Answer.
Page : 285 , Block Name : Exercise 15.2
Q2 The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this
cuboid.
Answer. 3 isometric sketches of the given cuboid can be drawn as follows.
Page : 285 , Block Name : Exercise 15.2
Q3 Three cubes each with 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or
isometric sketch of this cuboid.
Answer.
Page 6 of 12 Aglasem Schools
Page 8
Book : Mathematics Ncert Solutions | Chapter-15 Maths
Page : 285 , Block Name : Exercise 15.2
Q4 Make an oblique sketch for each one of the given isometric shapes:
Answer.
Page : 285 , Block Name : Exercise 15.2
Q5 Give (i) an oblique sketch and (ii) an isometric sketch for each of the following:
(a) A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)
(b) A cube with an edge 4 cm long.
Answer.
Page 7 of 12 Aglasem Schools
Page : 285 , Block Name : Exercise 15.2
Q4 Make an oblique sketch for each one of the given isometric shapes:
Answer.
Page : 285 , Block Name : Exercise 15.2
Q5 Give (i) an oblique sketch and (ii) an isometric sketch for each of the following:
(a) A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)
(b) A cube with an edge 4 cm long.
Answer.
Page 7 of 12 Aglasem Schools
Page 9
Book : Mathematics Ncert Solutions | Chapter-15 Maths
The sketch for the cuboid is not unique. The cuboid can also be drawn by taking the length as 3 cm or 2
cm. This will lead to a different view of the same cuboid.
Page : 286 , Block Name : Exercise 15.2
Exercise 15.3
Q1 What cross-sections do you get when you give a (i) vertical cut (ii) horizontal cut to the following
solids?
(a) A brick
(b) A round apple
(c) A die
(d) A circular pipe
(e) An ice cream cone
Answer. (a) A brick : We can only give a vertical cut to a brick in the following way
(b) A round apple : We can give a vertical cut to a ound apple in the following way.
Page 8 of 12 Aglasem Schools
The sketch for the cuboid is not unique. The cuboid can also be drawn by taking the length as 3 cm or 2
cm. This will lead to a different view of the same cuboid.
Page : 286 , Block Name : Exercise 15.2
Exercise 15.3
Q1 What cross-sections do you get when you give a (i) vertical cut (ii) horizontal cut to the following
solids?
(a) A brick
(b) A round apple
(c) A die
(d) A circular pipe
(e) An ice cream cone
Answer. (a) A brick : We can only give a vertical cut to a brick in the following way
(b) A round apple : We can give a vertical cut to a ound apple in the following way.
Page 8 of 12 Aglasem Schools
Page 10
Book : Mathematics Ncert Solutions | Chapter-15 Maths
We can give a horizontal cut to a round apple in the following way.
(c) A die : We can give a vertical cut to a die in the following way.
We can give a horizontal cut to a die in the following way.
(d) A circular pipe : We can give a vertical cut to a circular plane in the following way
We can give a horizontal cut to a circular plane in the following way
Page 9 of 12 Aglasem Schools
We can give a horizontal cut to a round apple in the following way.
(c) A die : We can give a vertical cut to a die in the following way.
We can give a horizontal cut to a die in the following way.
(d) A circular pipe : We can give a vertical cut to a circular plane in the following way
We can give a horizontal cut to a circular plane in the following way
Page 9 of 12 Aglasem Schools
Page 11
Book : Mathematics Ncert Solutions | Chapter-15 Maths
(e) An ice cream cone : We can give a vertical cut to a circular plane in the following way
We can give a horizontal cut to a circular plane in the following way
Page : 288 , Block Name : Exercise 15.3
Exercise 15.4
Q1 A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained
in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then
answer these questions).
Page 10 of 12 Aglasem Schools
(e) An ice cream cone : We can give a vertical cut to a circular plane in the following way
We can give a horizontal cut to a circular plane in the following way
Page : 288 , Block Name : Exercise 15.3
Exercise 15.4
Q1 A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained
in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then
answer these questions).
Page 10 of 12 Aglasem Schools
Page 12
Book : Mathematics Ncert Solutions | Chapter-15 Maths
Answer. The shapes of the shadows of these figures will be as follows:
(i) A ball : The shape of the shadow of a ball will be a circle.
(ii) A cylindrical pipe : The shape of the shadow of a cylindrical pipe will be a rectangle.
(iii) A book : The shape of the shadow of a book will be a rectangle.
Page : 289 , Block Name : Exercise 15.4
Q2 Here are the shadows of some 3-D objects, when seen under the lamp of an overhead projector.
Identify the solid(s) that match each shadow. (There may be multiple answers for these!)
Page 11 of 12 Aglasem Schools
Answer. The shapes of the shadows of these figures will be as follows:
(i) A ball : The shape of the shadow of a ball will be a circle.
(ii) A cylindrical pipe : The shape of the shadow of a cylindrical pipe will be a rectangle.
(iii) A book : The shape of the shadow of a book will be a rectangle.
Page : 289 , Block Name : Exercise 15.4
Q2 Here are the shadows of some 3-D objects, when seen under the lamp of an overhead projector.
Identify the solid(s) that match each shadow. (There may be multiple answers for these!)
Page 11 of 12 Aglasem Schools
Page 13
Book : Mathematics Ncert Solutions | Chapter-15 Maths
Answer. The given shadows can be obtained in case of the following objects.
(i) Compact disk
(ii) A dice
(iii) Triangular pyramid
(iv) Notebook
Page : 289 , Block Name : Exercise 15.4
Q3 Examine if the following are true statements:
(i) The cube can cast a shadow in the shape of a rectangle.
(ii) The cube can cast a shadow in the shape of a hexagon.
Answer. A cube can cast shadow only in the shape of a square. Therefore, any other shapes are not
possible.
Page : 290 , Block Name : Exercise 15.4
Page 12 of 12 Aglasem Schools
Answer. The given shadows can be obtained in case of the following objects.
(i) Compact disk
(ii) A dice
(iii) Triangular pyramid
(iv) Notebook
Page : 289 , Block Name : Exercise 15.4
Q3 Examine if the following are true statements:
(i) The cube can cast a shadow in the shape of a rectangle.
(ii) The cube can cast a shadow in the shape of a hexagon.
Answer. A cube can cast shadow only in the shape of a square. Therefore, any other shapes are not
possible.
Page : 290 , Block Name : Exercise 15.4
Page 12 of 12 Aglasem Schools
Document Details
| Board / Org | NCERT |
| Exam | Class 7 |
| Type | Solution |
| Pages | 13 |
| Updated | 30 Apr 2026 |