Contents

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 10 |

Chapter Name |
Visualising Solid Shapes |

Exercise |
Ex 10.1, Ex 10.2, Ex 10.3 |

Number of Questions Solved |
16 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

### Chapter 10 Visualising Solid Shapes Exercise 10.1

**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.

**Solution:**

Matching for each solid to its corresponding top and front views is shown as under :

**Question 2.**

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

**Solution:**

For each solid the corresponding top, front and side views are identified as indicated by the respective figures :

**Question 3.**

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

**Solution:**

For each given solid, the top view, front view and side view are identified as indicated under the respective figures :

**Question 4.**

Draw the front view, side view and top view of the given objects,

**Solution:**

The different views of the given objects are drawn as under :

### Chapter 10 Visualising Solid Shapes Exercise 10.2

**Question 1.**

Look at the following 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?

**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)**

**(d)** City Park.

**(e)** Sr. Secondary School.

**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 :**

**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 :

**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 :

**Instructions :**

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

### Chapter 10 Visualising Solid Shapes Exercise 10.3

**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.

**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.

**Question 3.**

Which are prisms among the following ?

**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.

**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.

**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.

**Question 6.**

Verify Euler’s formula for these solids.

**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.

**Question 7.**

**Using Euler’s formula find the unknown.**

**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

**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.

We hope the NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes help you. If you have any query regarding NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes, drop a comment below and we will get back to you at the earliest.

## Leave a Reply