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

Answer :

(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

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

Answer :

(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

1.Look at the given map of a city.

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?

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

Answer :

(a)The colored map is shown as:

(b)Marking is done as:

(c)The shortest route is shown in the red color as:

(d)The city Park is further east

(e)Sr. Secondary School is further south.

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

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

Answer :

Observe the different places things and areas to describe your school with the help of a suitable diagram.

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

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

Answer :

Describe the streets of your house showing proper turnings and pathways and give instructions step wise telling her to move along the various named streets.

1.Can a polyhedron have for its faces

(i) 3 triangles?

(ii) 4 triangles?

(iii) a square and four triangles?

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

Answer :

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)No because a polyhedron cannot for its faces have three triangles.

(ii)Yes

(iii)Yes

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

Answer :

(i) If the number of sides of its base becomes larger and larger then a prism becomes a cylinder.

(ii) If the number of sides of its base becomes larger and larger then a pyramid becomes a cone

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

Answer :

(i) In this given figure we have,

F = 7, V = 10, E =15

∴ F + V =7 + 10 = 17 and E + 2 =15 + 2 = 17

\(\Rightarrow\) F+V=E+ 2

Thus, Euler’s formula is verified.

(ii) In this given figure,

F =9, V = 9,E =16

∴ F + V =9 + 9 =18 and E + 2 =16 +2 =18

\(\Rightarrow\) F + V =E + 2

Thus, Euler’s formula is verified.

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

Answer :

In the first case we have: Vertices =6, Edges =12

By Euler’s formula, F + V= E + 2

F= 12 + 2-6 =8

Hence, faces =8

In 2nd case we have : Faces = 5, Edges = 9

By Euler’s formula, F + V = E + 2

V = E + 2 – F = 9+ 2- 5 = 6

Hence, vertices =6

In 3rd case we have : Faces =20, Vertices =12

By Euler’s formula, we know that F+V=E+2

E = F + V – 2 = 20 + 12 – 2 = 30

Hence, edges =30

There are total 16 questions present in ncert solutions for class 8 maths chapter 10 visualising solid shapes

There are total 0 long question/answers in ncert solutions for class 8 maths chapter 10 visualising solid shapes

There are total 3 exercise present in ncert solutions for class 8 maths chapter 10 visualising solid shapes