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NCERT Solutions for Class 8 Mathematics Chapter 10 Visualising Solid Shapes

NCERT Solution For Class 8 Mathematics

Visualising Solid Shapes Here is the CBSE Mathematics Chapter 10 for Class 8 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 8 Mathematics Visualising Solid Shapes Chapter 10 NCERT Solutions for Class 8 Mathematics Visualising Solid Shapes Chapter 10 The following is a summary in Hindi and English for the academic year 2023-24. You can save these solutions to your computer or use the Class 8 Mathematics.

Question 1

NCERT Solutions for Class 8 Mathematics Chapter 10 Visualising Solid Shapes

NCERT Solution For Class 8 Mathematics

Match the following: (First one is done for you)

Match the following pictures (objects) with their shapes:

Let there be a combination of three cubes, one on the top of the other as shown in the adjoining figure. What will be its top and side view?

Look at the combination of four cubes as shown in the adjoining figure. Show its various views.

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.

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

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

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

Look at the hut and draw its front view, side view and the top view.

In the figure, a brick is given. Draw its front view, side view and top view.

Following solids are made by joining cubes. Draw their different views.

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

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

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

What happens to F, V and E if some parts are sliced off from a solid? (To start with, you may take a plasticine cube, cut a corner off and investigate).

Can a polyhedron have for its faces 3 triangles?

Can a polyhedron have for its faces 4 triangles?

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

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

Which are prisms among the following?

How are prisms and cylinders alike?

How are pyramids and cones alike?

Is a square prism same as a cube? Explain.

Verify Euler’s formula for these solids.

Using Euler’s formula find the unknown.

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

According to the Euler’s formula, we have F + V – E = ___________.

A cuboid has _______ faces, _______ edges and _______ vertices.

A polyhedron has 30 edges and 12 vertices. How many faces does it have?

A polyhedron has 4 faces and 6 edges. Find the number of its vertices.

A polyhedron has 5 faces and 6 vertices. How many edges will it have?

Define the following:(i) Polyhedron (ii) Prism (iii) Pyramid

What is a polyhedra?

What is a tetrahedron?

What is a parallelopiped?

Which of the following solids are not polyhedrons?

Why the following solids are not polyhedron?(i) A sphere.(ii) A cone.(iii) A cylinder.

Name the following polyhedron.How many faces, vertiecs and edges of this solid are there?

What Euler’s formula? Verify the Euler’s formula for a pentagonal prism.

A polyhedron is having 8 vertices and 12 edges. How many faces of it are there?

A dodecahedron is having 20 vertices and 30 edges. How many faces are there?

An icosahedron is having 20 triangular faces and 12 vertices. Find the number of its edges.

What is the least number of planes that can enclose a solid? Name the simplest regular polyhedron and verify Euler’s formula for it.

Name the figure shown here.(i) How many faces does it have?(ii) How many vertices does it have?(iii) How many edges does it have?

Write the number of(i) faces(ii) edges(iii) vertices for a triangular prism.

Number of faces of a pyramid is 5. Find the number of its vertices when its edges are 8.

What is Euler’s formula? Using Euler’s formula, find the number of faces of tetrahedron having vertices as 4 and 6 edges.

What is a triangular pyramid? What is a pyramid called if its base is a square?

A dice is a cube in which the number on the opposite faces must total 7. Draw its net.

Draw the net of a triangular prism whose base is an equilateral triangle.

Match the following figures:

Look at the following figure in which four cubes are combined. Draw: (i) Its front view.(ii) Its side view.(iii) Its top view.

Look at the adjoining solid and draw its:(i) top view.(ii) front view.(iii) Side view.

How many dimensions does a polygon have? one two three

How many dimensions does a line segment have? one two three

How many dimensions does a solid cube have? one two three

What do we call a ‘solid shape’ bounded by polygons? circle polyhedron faces

What do we call the line segments which are common to intersecting faces of a polyhedron? vertices faces edges

What is the relation between number of faces (F), number of edges (E) and number of vertices (V) of a polyhedron? F + V = E + 2 E + V = F + 2 E + F = V + 2

What do we call a polyhedron whose base is a polygon of any number of sides and whose other faces are triangle with a common vertex? Prism Pyramid Polyhedra

What kind of polygon is the base of a tetrahedron? A square A triangle A quadrilateral

What do we call a solid whose side faces are parallelograms and whose bases (ends) are congruent parallel rectilinear figures? Tetrahedron Pyramid Prism

What do we call a quadrilateral prism, whose ends are parallelograms? A cuboid A parallelopiped An oblique prism

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A cuboid has ___ faces, _ edges and _____ vertices.

Define the following:
(i) Polyhedron (ii) Prism (iii) Pyramid

Why the following solids are not polyhedron?
(i) A sphere.
(ii) A cone.
(iii) A cylinder.

Name the following polyhedron.

How many faces, vertiecs and edges of this solid are there?

Name the figure shown here.
(i) How many faces does it have?
(ii) How many vertices does it have?
(iii) How many edges does it have?

Write the number of
(i) faces
(ii) edges
(iii) vertices for a triangular prism.

Look at the following figure in which four cubes are combined.

Draw: (i) Its front view.
(ii) Its side view.
(iii) Its top view.

Look at the adjoining solid and draw its:
(i) top view.
(ii) front view.
(iii) Side view.

How many dimensions does a polygon have?
one
two
three

How many dimensions does a line segment have?
one
two
three

How many dimensions does a solid cube have?
one
two
three

What do we call a ‘solid shape’ bounded by polygons?
circle
polyhedron
faces

What do we call the line segments which are common to intersecting faces of a polyhedron?
vertices
faces
edges

What is the relation between number of faces (F), number of edges (E) and number of vertices (V) of a polyhedron?
F + V = E + 2
E + V = F + 2
E + F = V + 2

What do we call a polyhedron whose base is a polygon of any number of sides and whose other faces are triangle with a common vertex?
Prism
Pyramid
Polyhedra

What kind of polygon is the base of a tetrahedron?
A square
A triangle
A quadrilateral

What do we call a solid whose side faces are parallelograms and whose bases (ends) are congruent parallel rectilinear figures?
Tetrahedron
Pyramid
Prism

What do we call a quadrilateral prism, whose ends are parallelograms?
A cuboid
A parallelopiped
An oblique prism