NCERT Solutions | Class 8 Maths Chapter 10

NCERT Solutions | Class 8 Maths Chapter 10 | Visualising Solid Shapes 

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

CBSE Solutions | Maths Class 8

Check the below NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes Pdf free download. NCERT Solutions Class 8 Maths  were prepared based on the latest exam pattern. We have Provided Visualising Solid Shapes Class 8 Maths NCERT Solutions to help students understand the concept very well.

NCERT | Class 8 Maths

NCERT Solutions Class 8 Maths
Book: National Council of Educational Research and Training (NCERT)
Board: Central Board of Secondary Education (CBSE)
Class: 8th
Subject: Maths
Chapter: 10
Chapters Name: Visualising Solid Shapes
Medium: English

Visualising Solid Shapes | Class 8 Maths | NCERT Books Solutions

You can refer to MCQ Questions for Class 8 Maths Chapter 10 Visualising Solid Shapes to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes Exercise 10.1

Ex 10.1 Class 8 Maths 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.
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 1

Solution:

Matching for each solid to its corresponding top and front views is shown as under :
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 2

Ex 10.1 Class 8 Maths Question 2.

For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 3
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 4

Solution:

For each solid the corresponding top, front and side views are identified as indicated by the respective figures :
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 5
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 6

Ex 10.1 Class 8 Maths Question 3.

For each given solid, identify the top view, front view and side view.
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 7
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 8
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 9

Solution:

For each given solid, the top view, front view and side view are identified as indicated under the respective figures :
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 10
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 11

Ex 10.1 Class 8 Maths Question 4.

Draw the front view, side view and top view of the given objects,
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 12
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 13

Solution:

The different views of the given objects are drawn as under :
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 14
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 15

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes Exercise 10.2

Ex 10.2 Class 8 Maths Question 1.

Look at the following map of a city
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 16
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?

Solution:

The map is coloured as desired to complete part
(a) Green X and Y are marked at the desired place to complete part
(b) Short street route in red from Library to the bus depot is drawn to complete part
(c)
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 17
(d) City Park.
(e) Sr. Secondary School.

Ex 10.2 Class 8 Maths Question 2.

Draw a map of your class room using proper scale and symbols for different objects.

Solution:

Map of class room is as under :
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 18

Ex 10.2 Class 8 Maths Question 3.

Draw a map of your school compound using proper scale and symbols for various features like play ground, main building, garden, etc.

Solution:

Map of school compound showing various features like play ground, main building, garden, etc. is as under :
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 19

Ex 10.2 Class 8 Maths Question 4.

Draw a map giving instructions to your friend so that she reaches your house without any difficulty.

Solution:

A map giving instructions to my friend so that she reaches my house without any difficulty is as under :
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 20
Instructions :

  1. Start from city park on Gandhi road.
  2. Go forward on the Gandhi road.
  3. From the library, go opposite to it.
  4. After moving a few steps again you will find a Spencer’s store on your right hand side.
  5. Start moving again from the store.
  6. After a few steps, turn right.
  7. On the way, you will find a primary school, now go opposite to it.
  8. Move ahead and turn right after sweet shop.
  9. You will find a fire station.
  10. When you go straight, you will find my house.

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes Exercise 10.3

Ex 10.3 Class 8 Maths Question 1.

Can a polyhedron have for its faces
(i) 3 triangles?
(ii) 4 triangles?
(iii) a square and four triangles?

Solution:

Since a polyhedron is a solid, which is bounded by four or more polygonal faces in such a way that pairs of faces meet along edges and three or more edges meet in each vertex, therefore,
(i) A polyhedron cannot for its faces have three triangles.
(ii) A polyhedron can for its faces have four triangles.
(iii) A polyhedron can for its faces have a square and four triangles.

Ex 10.3 Class 8 Maths Question 2.

Is it possible to have a polyhedron with any given number of faces? (Hint : Think of a pyramid)

Solution:

Yes, it is possible only if the number of faces are greater than or equal to four.

Ex 10.3 Class 8 Maths Question 3.

Which are prisms among the following ?
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 21

Solution:

We know that a prism is a polyhedron, two of whose faces are congruent polygons in parallel planes and whose other faces are parallelograms. Therefore,
(i) A nail is not a prism.
(ii) An unsharpened pencil is a prism.
(iii) A table weight is not a prism.
(iv) A box is a prism.

Ex 10.3 Class 8 Maths Question 4.

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

Solution:

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

Ex 10.3 Class 8 Maths Question 5.

Is a square prism same as a cube? Explain.

Solution:

Yes, it can be a cube. But it can be a cuboid also.

Ex 10.3 Class 8 Maths Question 6.

Verify Euler’s formula for these solids.
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 22

Solution:

(i) In this figure,
F = 7, V = 10, E =15
∴ F + V =7 + 10 = 17 and E + 2 =15 + 2 = 17
⇒ F+V=E+ 2
Hence, Euler’s formula is verified.

(ii) In this figure,
F =9, V = 9,E =16
∴ F + V =9 + 9 =18 and E + 2 =16 +2 =18
⇒ F + V =E + 2
Hence, Euler’s formula is verified.

Ex 10.3 Class 8 Maths Question 7.

Using Euler’s formula find the unknown.
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes 23

Solution:

In 1st part : Faces = ?, Vertices =6, Edges =12
By Euler’s formula, we know that F + V= E + 2
⇒ F = E + 2 – V
= 12 + 2-6 =8
Hence, faces =8

In 2nd part : Faces = 5, Vertices = ?, Edges = 9
By Euler’s formula, we know that
F + V = E + 2
⇒ V = E + 2 – F = 9+ 2- 5 = 6
Hence, vertices =6

In 3rd part : Faces =20, Vertices =12, Edges =?
By Euler’s formula, we know that
F+V=E+2
⇒ E = F + V – 2 = 20 + 12 – 2 = 30
Hence, edges =30

Ex 10.3 Class 8 Maths Question 8.

Can a polyhedron have 10 faces, 20 edges and 15 vertices?

Solution:

Since F + V ≠ E +2 (as 10 +15 ≠ 20 + 2)
A polyhedron cannot have 10 faces, 20 edges and 15 vertices.

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