NCERT Solutions Class 8 Mathematics Chapter 10 Visualising Solid Shapes

NCERT Solutions Class 8 Mathematics Chapter 10 Visualising Solid Shapes have been provided below and is also available in Pdf for free download. The NCERT solutions for Class 8 Mathematics have been prepared as per the latest syllabus, NCERT books and examination pattern suggested in Class 8 by CBSE, NCERT and KVS. Questions given in NCERT book for Class 8 Mathematics are an important part of exams for Class 8 Mathematics and if answered properly can help you to get higher marks. Refer to more Chapter-wise answers for NCERT Class 8 Mathematics and also download more latest study material for all subjects. Chapter 10 Visualising Solid Shapes is an important topic in Class 8, please refer to answers provided below to help you score better in exams

Chapter 10 Visualising Solid Shapes Class 8 Mathematics NCERT Solutions

Class 8 Mathematics students should refer to the following NCERT questions with answers for Chapter 10 Visualising Solid Shapes in Class 8. These NCERT Solutions with answers for Class 8 Mathematics will come in exams and help you to score good marks

Chapter 10 Visualising Solid Shapes NCERT Solutions Class 8 Mathematics

Question 1. For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. The first one is done for you.

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Answer :
(a) → (iii) → (iv)
(b) → (i) → (v)
(c) → (iv) → (ii)
(d) → (v) → (iii)
(e) → (ii) → (i)

2. For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.

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Answer :
(a) (i) → Front
(ii) → Side
(iii) → Top view

(b) (i) → Side
(ii) → Front
(iii) → Top view

(c) (i) → Front
(ii) → Side
(iii) → Top view

(d) (i) → Front
(ii) → Side
(iii) → Top view

3. For each given solid, identify the top view, front view and side view.

""NCERT-Solutions-Class-8-Mathematics-Chapter-10-Visualising-Solid-Shapes-3

Answer :

(a) (i) → Top view 
(ii) → Front view
(iii) → Side view

(b) (i) → Side view
(ii) → Front view
(iii) → Top view

(c) (i) → Top view
(ii) → Side view
(iii) → Front view

(d) (i) → Side view
(ii) → Front view
(iii) → Top view

(e) (i) → Front view
(ii) → Top view
(iii) → Side view

4. Draw the front view, side view and top view of the given objects:

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Answer :

""NCERT-Solutions-Class-8-Mathematics-Chapter-10-Visualising-Solid-Shapes-5

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Exercise 10.2

1. Look at the given map of a city.

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Answer the following.
(a) Colour the map as follows: Blue-water, red-fire station, orange-library, yellow
- schools, Green - park, Pink - College, Purple - Hospital, Brown - Cemetery.
(b) Mark a green ‘X’ at the intersection of Road ‘C’ and Nehru Road, Green ‘Y’ at the intersection of Gandhi Road and Road A.
(c) In red, draw a short street route from Library to the bus depot.
(d) Which is further east, the city park or the market?
(e) Which is further south, the primary school or the Sr. Secondary School?

Answer
(a) The required map in colour is as follow:

""NCERT-Solutions-Class-8-Mathematics-Chapter-10-Visualising-Solid-Shapes-8

""NCERT-Solutions-Class-8-Mathematics-Chapter-10-Visualising-Solid-Shapes-9

(d) Between the market and the city park, the city park is further east.
(e) Between the primary school or the Sr. Secondary School, the Sr. Secondary School is further south.

Exercise 10.3

1. Can a polygon have for its faces:
(i) 3 triangles
(ii) 4 triangles
(iii) a square and four triangles

Answer
(i) No, a polyhedron cannot have 3 triangles for its faces.
(ii) Yes, a polyhedron can have four triangles which is known as pyramid on triangular base.
(iii) Yes, a polyhedron has its faces a square and four triangles which makes a pyramid on square base.

2. Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid)
Answer
It is possible, only if the number of faces are greater than or equal to 4.
3. Which are prisms among the following:

""NCERT-Solutions-Class-8-Mathematics-Chapter-10-Visualising-Solid-Shapes-10

Answer :
Figure (ii) unsharpened pencil and figure (iv) a box are prisms.

4. (i) How are prisms and cylinders alike?
(ii) How are pyramids and cones alike?

Answer :
(i) A prism becomes a cylinder as the number of sides of its base becomes larger and larger.
(ii) A pyramid becomes a cone as the number of sides of its base becomes larger and larger.

5. Is a square prism same as a cube? Explain.
Answer :
Yes, a square prism is same as a cube, it can also be called a cuboid. A cube and a square prism are both special types of a rectangular prism. A square is just a special type of rectangle! Cubes are rectangular prisms where all three dimensions (length, width and height) have the same measurement.

6. Verify Euler’s formula for these solids.

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Answer :
(i) Here, figure (i) contains 7 faces, 10 vertices and 15 edges.
Using Eucler’s formula, we see
 F + V – E = 2
Putting F = 7, V = 10 and E = 15,
 F + V – E = 2
⇒ 7 + 10 – 15 = 2
⇒ 17 – 15 = 2
⇒ 2 = 2
⇒ L.H.S. = R.H.S. Hence Eucler’s formula verified.

(ii) Here, figure (ii) contains 9 faces, 9 vertices and 16 edges.
Using Eucler’s formula, we see
F + V – E = 2
F + V – E = 2
9 + 9 – 16 = 2
⇒ 18 – 16 = 2
⇒ 2 = 2
⇒ L.H.S. = R.H.S.
Hence Eucler’s formula verified.

7. Using Euler’s formula, find the unknown:

Faces?520
Vertices6?12
Edges129?

Answer :
In first column, F = ?, V = 6 and E = 12
Using Eucler’s formula, we see
F + V – E = 2
 F + V – E = 2
⇒ F + 6 – 12 = 2
⇒ F – 6 = 2
⇒ F = 2 + 6 = 8
Hence there are 8 faces.
In second column, F = 5, V = ? and E = 9
Using Eucler’s formula, we see
F + V – E = 2
F + V – E = 2
⇒ 5 + V – 9 = 2
⇒ V – 4 = 2
⇒ V = 2 + 4 = 6
Hence there are 6 vertices.
In third column, F = 20, V = 12 and E = ?
Using Eucler’s formula, we see
F + V – E = 2
F + V – E = 2
⇒ 20 + 12 – E = 2
⇒ 32 – E = 2
⇒ E = 32 – 2 = 30
Hence there are 30 edges.

8. Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Answer :
If F = 10, V = 15 and E = 20.
Then, we know Using Eucler’s formula,
F + V – E = 2
L.H.S. = F + V – E
= 10 + 15 – 20
= 25 – 20
= 5
R.H.S. = 2
∵ L.H.S. ≠ R.H.S.
Therefore, it does not follow Eucler’s formula.
So polyhedron cannot have 10 faces, 20 edges and 15 vertices.

NCERT Solutions Class 8 Mathematics Chapter 10 Visualising Solid Shapes

The above provided NCERT Solutions Class 8 Mathematics Chapter 10 Visualising Solid Shapes is available on our website www.studiestoday.com for free download in Pdf. You can read the solutions to all questions given in your Class 8 Mathematics textbook online or you can easily download them in pdf. The answers to each question in Chapter 10 Visualising Solid Shapes of Mathematics Class 8 has been designed based on the latest syllabus released for the current year. We have also provided detailed explanations for all difficult topics in Chapter 10 Visualising Solid Shapes Class 8 chapter of Mathematics so that it can be easier for students to understand all answers. These solutions of Chapter 10 Visualising Solid Shapes NCERT Questions given in your textbook for Class 8 Mathematics have been designed to help students understand the difficult topics of Mathematics in an easy manner. These will also help to build a strong foundation in the Mathematics. There is a combination of theoretical and practical questions relating to all chapters in Mathematics to check the overall learning of the students of Class 8.

 

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