# NCERT Solutions for Class 8 Maths Maths - NCERT Solution Chapter 10

## Visualising Solid Shapes Class 8

### Exercise 10.1 : Solutions of Questions on Page Number : 157

Q1 :

For each of the given solid, the two views are given. Match for each solid the corresponding top and front views.

The given solids, matched to their respective side view and top view, are as follows.

Object Side view Top view

Q2 :

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

(a)

(i) Front (ii) Side (iii) Top

(b)

(i) Side (ii) Front (iii) Top

(c)

(i) Front (ii) Side (iii) Top

(d)

(i) Front (ii) Side (iii) Top

Q3 :

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

(a)

(b)

(c)

(d)

(e)

Q4 :

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

 (a) A military tent (b) A table (c) A nut (d) A hexagonal block (e) A dice (f) A solid

### Exercise 10.2 : Solutions of Questions on Page Number : 163

Q1 :

Look at the given map of a city.

(a) Colour the map as follows: Blue - water plant, 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?

### Exercise 10.3 : Solutions of Questions on Page Number : 166

Q1 :

Can a polyhedron have for its faces

(i) 3 triangles? (ii) 4 triangles?

(iii) a square and four triangles?

Q2 :

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

Q3 :

Which are prisms among the following?

 (i) (ii) (iii) (iv)

Q4 :

(i) How are prisms and cylinders alike?

(ii) How are pyramids and cones alike?

Q5 :

Is a square prism same as a cube? Explain.

Q6 :

Verify Euler's formula for these solids.

 (i) (ii)

Q7 :

Using Euler's formula, find the unknown.

 Faces ? 5 20 Vertices 6 ? 12 Edges 12 9 ?

Q8 :

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