These NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes Ex 10.2 Questions and Answers are prepared by our highly skilled subject experts.

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

Question 1.

Look at the given map on a city.

Answer the following.

(a) Colour the map as follows: Blue-water, red-fire station, orange-library, yellow- school. 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?

Answer:

The shaded (coloured) map according to the required direction is given in part (a). Here various colours are as under

(a) Do as directed

(b) Do as directed

(c) Do as directed

(d) City park

(e) Senior Secondary School

Question 2.

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

Answer:

It is an activity, so do it yourself.

Question 3.

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

Answer:

It is an activity. Please do it yourself.

Question 4.

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

Answer:

It is an activity. Please do it yourself.

Faces, Edges and Vertices

Note:

I. A polygon is a 2-D shape made of line segments only.

II. A polyhedron is a 3-D shape made of plane faces.

III. Plural of polyhedron is polyhedra.

IV. A cube, cuboid, pyramid, prism, etc. are polyhedra whereas spheres, cones and cylinders are not polyhydra.

A cuboid has 6 faces, 12 edges and 8 vertices.

Convex polyhedrons: You will recall the concept of convex polygons. The idea of convex polyhedron is similar.

Regular Polyhedron: A convex polyhedron is said to be regular if its faces are made up of regular polygons and the same number of faces meet at each vertex.

Prism: Prism are polyhedra whose lateral base and top are congruent polygons and the other faces are parallelograms.

Pyramids: Pyramids are polyhedra whose base is a polygon and whose lateral faces are in the shape of triangles at a common vertex.

Note: The prisms or a pyramids is named after its bases.

Euler’s Formula: It is a relation between the faces, edges and vertices of a polyhedra. It is given by

F + V = E + 2

is F + V – E = 2

where, F → Number of faces

V → Number of vertices

E → Number of edges.