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NCERT solutions Mathematics Textbook for Class 8 chapter 10 Visualising Solid Shapes

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Chapter 10 - Visualising Solid Shapes

Pages 157 - 166

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

Q 1 | Page 157 | view solution

Can a polyhedron have for its faces 4 triangles?

Q 1.2 | Page 166 | view solution

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

Object (i) (ii) (iii)

 

Q 2.1 | Page 158 | view solution

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

Object (i) (ii) (iii)

 

Q 2.2 | Page 158 | view solution

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

Object (i) (ii) (iii)

 

Q 2.3 | Page 158 | view solution

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

 

Object (i) (ii) (iii)

 

Q 2.4 | Page 158 | view solution

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

Q 3.1 | Page 159 | view solution

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

Q 3.2 | Page 159 | view solution

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

Q 3.3 | Page 159 | view solution

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

Q 3.4 | Page 159 | view solution

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

Q 3.5 | Page 159 | view solution

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

A military tent

Q 4.1 | Page 160 | view solution

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

A table

Q 4.2 | Page 160 | view solution

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

A nut

Q 4.3 | Page 160 | view solution

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

A hexagonal block

Q 4.4 | Page 160 | view solution

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

A dice

Q 4.5 | Page 160 | view solution

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

A solid

Q 4.6 | Page 160 | view solution

Page 163

Look at the given map of a city.

Answer the following.

(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?

Q 1 | Page 163 | view solution

Pages 166 - 167

Can a polyhedron have for its faces 3 triangles?

Q 1.1 | Page 166 | view solution

Can a polyhedron have for its faces a square and four triangles?

Q 1.3 | Page 166 | view solution

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

Q 2 | Page 166 | view solution

The given Figure are prisms or not?

Q 3.1 | Page 166 | view solution

The given Figure are prisms or not?

Q 3.2 | Page 166 | view solution

The given Figure are prisms or not?

Q 3.3 | Page 166 | view solution

The given Figure are prisms or not?

Q 3.4 | Page 166 | view solution

How are prisms and cylinders alike?

Q 4.1 | Page 166 | view solution

How are pyramids and cones alike?

Q 4.2 | Page 166 | view solution

Is a square prism same as a cube? Explain.

Q 5 | Page 166 | view solution

Verify Euler’s formula for given solids

Q 6.1 | Page 166 | view solution

Verify Euler’s formula for given solids.

Q 6.2 | Page 166 | view solution

Using Euler’s formula, find the unknown.

Faces ? 5 20
Vertices 6 ? 12
Edges 12 9 ?
Q 7 | Page 167 | view solution

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

Q 8 | Page 167 | view solution

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