HomeNCERT SOLUTIONS8th CLASSClass 8 Maths Chapter 10 Visualising Solid Shapes

Class 8 Maths Chapter 10 Visualising Solid Shapes

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

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 Q1
Solution:
(a) A bottle → (iii) → (iv)
(b) A weight → (i) → (v)
(c) A flask → (iv) → (ii)
(d) Cup and saucer → (v) → (iii)
(e) Container → (ii) → (i)

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 Q2
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes Q2.1
Solution:
(a) An Almirah → (i) Front → (ii) Side → (iii) Top
(b) A Match box → (i) Side → (it) Front → (iii) Top
(c) A Television → (i) Front → (ii) Side → (iii) Top
(d) A Car → (i) Front → (ii) Side → (iii) Top

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 Q3
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes Q3.1
Solution:
(a) (i) Top → (ii) Front → (iii) Side
(b) (i) Side → (ii) Front → (iii) Top
(c) (i) Top → (ii) Side → (iii) Front
(d) (i) Side → (ii) Front → (iii) Top
(e) (i) Front → (ii) Top → (iii) Side

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 Q4
Solution:
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes Q4.1
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes Q4.2

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Class 8 Maths Chapter 10 Visualising Solid Shapes Ex 10.2

NCERT Class 8 Maths Chapter 10 Visualising Solid Shapes Ex 10.2 Solutions

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 given map of a city.
NCERT Solutions for Class 8 Maths Visualising Solid Shapes Ex 10.2
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?

Ex 10.2 Class 8 Maths Question 2.
Draw a map of your classroom using proper scale and symbols for different objects.

Ex 10.2 Class 8 Maths Question 3.
Draw a map of your school compound using proper scale and symbols for various features like a playground, main building, garden etc.

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:
Question 1 to Question 4 each all activities. You can try yourself.

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Class 8 Maths Chapter 10 Visualising Solid Shapes Ex 10.3

NCERT Class 8 Maths Chapter 10 Visualising Solid Shapes Ex 10.3 Solutions

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:
(i) No, because polyhedron must have edges meeting at vertices which are points.
(ii) Yes, because all the edges are meeting at the vertices.
NCERT Solutions for Class 8 Maths Visualising Solid Shapes Ex 10.3 Q1
(iii) Yes, because all the eight edges meet at the vertices.
NCERT Solutions for Class 8 Maths Visualising Solid Shapes Ex 10.3 Q1.1

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:
NCERT Solutions for Class 8 Maths Visualising Solid Shapes Ex 10.3 Q2
Yes, it is possible if the number of faces is greater than or equal to 4.
Example: Pyramid which has 4 faces.

Ex 10.3 Class 8 Maths Question 3.
Which are prisms among the following?
NCERT Solutions for Class 8 Maths Visualising Solid Shapes Ex 10.3 Q3
Solution:
Only (ii) unsharpened pencil and (iv) a box are the 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) If the number of sides in a prism is increased to certain extent, then the prism will take the shape of cylinder.
(ii) If the number of sides of the pyramid is increased to same extent, then the pyramid becomes a cone.

Ex 10.3 Class 8 Maths Question 5.
Is a square prism same as a cube? Explain.
Solution:
Every square prism cannot be cube. It may be cuboid also.
NCERT Solutions for Class 8 Maths Visualising Solid Shapes Ex 10.3 Q5

Ex 10.3 Class 8 Maths Question 6.
Verify Euler’s formula for these solids.
NCERT Solutions for Class 8 Maths Visualising Solid Shapes Ex 10.3 Q6
Solution:
(i) Faces = 7
Sides = 15
Vertices = 10
Euler’s formula: F + V – E = 2
⇒ 7 + 10 – 15 = 2
⇒ 2 = 2
Hence, Euler’s formula is verified.

(ii) Faces = 9
Sides = 16
Vertices = 9
Euler’s Formula: F + V – E = 2
⇒ 9 + 9 – 16 = 2
⇒ 2 = 2
Hence, Euler’s formula is verified.

Ex 10.3 Class 8 Maths Question 7.
Using Euler’s formula find the unknown.

Faces?520
Vertices6?12
Edges129?

Solution:

Faces8520
Vertices6612
Edges12930

Using Eulers Formula: F + V – E = 2

Ex 10.3 Class 8 Maths Question 8.
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Solution:
Here faces = 10, Edges = 20, Vertices = 15
According to Euler’s Formula:
F + V – E = 2
⇒ 10 + 15 – 20 = 25 – 20
⇒ 5 ≠ 2
A polyhedron do not have 10 Faces, 20 Edges and 15 Vertices.

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NCERT Solutions for Class 8 Maths

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