NCERT Exemplar solutions for Mathematics [English] Class 8 chapter 6 - Visualising Solid Shapes [Latest edition]

Which amongst the following is not a polyhedron?

Which of the following will not form a polyhedron?

Which of the following is a regular polyhedron?

Which of the following is a two Dimensional figure?

Which of the following can be the base of a pyramid?

Which of the following 3D shapes does not have a vertex?

Solid having only line segments as its edges is a ______.

In a solid if F = V = 5, then the number of edges in this shape is ______.

Which of the following is the top view of the given shape?

The net shown below can be folded into the shape of a cube. The face marked with the letter L is opposite to the face marked with which letter?
 

Which of the nets given below will generate a cone?

Which of the following is not a prism?

We have 4 congruent equilateral triangles. What do we need more to make a pyramid?

Side of a square garden is 30 m. If the scale used to draw its picture is 1 cm : 5 m, the perimeter of the square in the picture is ______.

Which of the following shapes has a vertex?

In the given map, the distance between the places is shown using the scale 1 cm : 0.5 km. Then the actual distance (in km) between school and the book shop is ______.

Which of the following cannot be true for a polyhedron?

In a blueprint of a room, an architect has shown the height of the room as 33 cm. If the actual height of the room is 330 cm, then the scale used by her is ______.

The following is the map of a town. Based on it answer question.

The number of hospitals in the town is ______.

The following is the map of a town. Based on it answer question.

The ratio of the number of general stores and that of the ground is ______.

The following is the map of a town. Based on it answer question.

According to the map, the number of schools in the town is ______.

Square prism is also called a ______.

Rectangular prism is also called a ______.

In the figure,   the number of faces meeting at B is ______.

A pyramid on an n sided polygon has ______ faces.

If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.

The given net    can be folded to make a ______.

A solid figure with only 1 vertex is a ______.

Total number of faces in a pyramid which has eight edges is ______.

The net of a rectangular prism has ______ rectangles.

In a three-dimensional shape, diagonal is a line segment that joins two vertices that do not lie on the ______ face.

If 4 km on a map is represented by 1 cm, then 16 km is represented by ______ cm.

If actual distance between two places A and B is 110 km and it is represented on a map by 25 mm. Then the scale used is ______.

A pentagonal prism has ______ faces.

If a pyramid has a hexagonal base, then the number of vertices is ______.

is the ______ view of

The number of cubes in are ______.

If the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ______.

Total number of regular polyhedra is ______.

A regular polyhedron is a solid made up of ______ faces.

For the following solid, identify the front, side and top views and write them in the space provided.

For the following solid, identify the front, side and top views and write them in the space provided.

For the following solid, identify the front, side and top views and write them in the space provided.

For the following solid, identify the front, side and top views and write them in the space provided.

The other name of cuboid is tetrahedron.

A polyhedron can have 3 faces.

A polyhedron with least number of faces is known as a triangular pyramid.

Regular octahedron has 8 congruent faces which are isosceles triangles.

Pentagonal prism has 5 pentagons.

Every cylinder has 2 opposite faces as congruent circles, so it is also a prism.

Euler’s formula is true for all three-dimensional shapes.

A polyhedron can have 10 faces, 20 edges and 15 vertices.

The top view of

The number of edges in a parallelogram is 4.

Every solid shape has a unique net.

Pyramids do not have a diagonal.

The given shape is a cylinder.

A cuboid has atleast 4 diagonals.

All cubes are prisms.

A cylinder is a 3-D shape having two circular faces of different radii.

On the basis of the given figure, the length of a rectangle in the net of a cylinder is same as circumference of circles in its net.

If a length of 100 m is represented on a map by 1 cm, then the actual distance corresponding to 2 cm is 200 m.

The model of a ship shown is of height 3.5 cm. The actual height of the ship is 210 cm if the scale chosen is 1 : 60.

The actual width of a store room is 280 cm. If the scale chosen to make its drawing is 1 : 7, then the width of the room in the drawing will be 40 cm.

Complete the table given below:

S.No	Solid	Shape of Solid	Number of faces F	Number of Verticles V	Number of edges E	F + V	E + 2
a.	Cuboid
b.	Triangular Pyramid
c.	Square Pyramid
d.	Rectangular Pyramid
e.	Pentagonal Pyramid
f.	Hexagonal Pyramid
g.	Triangular Prism
h.	Square Prism
i.	Cube
j.	Pentagonal Prism
k.	Octagonal Prism
l.	Heptagonal Prism

How many faces does the following solid have?

Tetrahedron

How many faces does the following solid have?

Hexahedron

How many faces does the following solid have?

Octagonal Pyramid

How many faces does the following solid have?

Octahedron

Draw a prism with its base as regular hexagon with one of its face facing you. Now draw the top view, front view and side view of this solid.

How many vertices does the following solid have?

Cone

How many vertices does the following solid have?

Cylinder

How many vertices does the following solid have?

Sphere

How many vertices does the following solid have?

Octagonal Pyramid

How many vertices does the following solid have?

Tetrahedron

How many vertices does the following solid have?

Hexagonal Prism

How many edges does the following solid have?

Cone

How many edges does the following solid have?

Cylinder

How many edges does the following solid have?

Sphere

How many edges does the following solid have?

Octagonal Pyramid

How many edges does the following solid have?

Hexagonal Prism

How many edges does the following solid have?

Kaleidoscope

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

Count the number of cubes in the given shape.

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

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

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

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

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

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

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

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

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

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

Using Euler’s formula, find the value of unknown x in the following table.

Using Euler’s formula, find the value of unknown y in the following table.

Using Euler’s formula, find the value of unknown z in the following table.

Using Euler’s formula, find the value of unknown p in the following table.

Using Euler’s formula, find the value of unknown q in the following table.

Using Euler’s formula, find the value of unknown r in the following table.

Can a polyhedron have V = F = 9 and E = 16? If yes, draw its figure.

Check whether a polyhedron can have V = 12, E = 6 and F = 8.

A polyhedron has 60 edges and 40 vertices. Find the number of its faces.

Find the number of faces in the given shape:

Find the number of faces in the given shape:

Find the number of faces in the given shape:

A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.

A solid has forty faces and sixty edges. Find the number of vertices of the solid.

Draw the net of a regular hexahedron with side 3 cm. (Hint: Regular hexahedron - cube)

Draw the net of a regular tetrahedron with side 6 cm.

Draw the net of the following cuboid:

Match the following:

	Figure		Name
(a)		(a)	Hexahedron
(b)		(b)	Hexagonal Prism
(c)		(c)	Square Pyramid
(d)		(d)	Cone

Complete the table given below by putting tick mark across the respective property found in the solids mentioned.

Draw the net of the following shape.

Draw the net of the following solid.

(Hint: Pentagons are not congruent.)

Find the number of cubes in the base layer of the following figure.

In the above figure, if only the shaded cubes are visible from the top, draw the base layer.

How many faces, edges and vertices does a pyramid have with n sided polygon as its base?

Draw a figure that represents your mathematics textbook. What is the name of this figure? Is it a prism?

In the given figure, identify the different shapes involved.

In the given figure, identify the different shapes involved.

What figure is formed if only the height of a cube is increased or decreased?

Use isometric dot paper to draw figure.

A tetrahedron

Use isometric dot paper to draw figure.

A rectangular prism with length 4 units, width 2 units and height 2 units.

Identify the nets given below and mention the name of the corresponding solid in the space provided.

Nets		Name of Solid
(a)
(b)
(c)
(d)
(e)
(f)

Draw a map of your school playground. Mark all necessary places like 2 library, Playground, Medical Room, Classrooms, Assembly area, etc.

Refer to the given map to answer the following questions.

1. What is the built-up area of Govt. Model School I?
2. Name the schools shown in the picture.
3. Which park is nearest to the dispensary?
4. To which block does the main market belong?
5. How many parks have been represented in the map?

Look at the map given below. Answer the following questions.

1. Which two hospitals are opposite to each other?
2. A person residing at Niti Bagh has to go to Chirag Delhi after dropping her daughter at Asiad Tower. Mention the important landmarks he will pass alongwith the roads taken.
3. Name of which road is similar to the name of some month.

Look at the map given below.

Houses

Now, answer the following questions.

1. Name the roads that meet at round about.
2. What is the address of the stadium?
3. On which road is the Police Station situated?
4. If Ritika stays adjacent to bank and you have to send her a card, what address will you write?
5. Which sector has maximum number of houses?
6. In which sector is Fire Station located?
7. In the map, how many sectors have been shown?

A photographer uses a computer program to enlarge a photograph. What is the scale according to which the width has enlarged?

The side of a square board is 50 cm. A student has to draw its image in her notebook. If the drawing of the square board in the notebook has perimeter of 40 cm, then by which scale the figure has been drawn?

The distance between school and house of a girl is given by 5 cm in a picture, using the scale 1 cm : 5 km. Find the actual distance between the two places?

Use a ruler to measure the distance in cm between the places joined by dotted lines. If the map has been drawn using the scale 1 cm : 10 km, find the actual distances between school and library.

Use a ruler to measure the distance in cm between the places joined by dotted lines. If the map has been drawn using the scale 1 cm : 10 km, find the actual distances between college and complex.

Use a ruler to measure the distance in cm between the places joined by dotted lines. If the map has been drawn using the scale 1 cm : 10 km, find the actual distances between house and school.

The actual length of a painting was 2 m. What is its length in the photograph if the scale used is 1 mm : 20 cm.

Find the scale.

Actual size 12 m

Drawing size 3 cm

Find the scale.

Actual size 45 feet

Drawing size 5 inches

In a town, an ice cream parlour has displayed an ice cream sculpture of height 360 cm. The parlour claims that these ice creams and the sculpture are in the scale 1 : 30. What is the height of the ice creams served?