CBSE 8th Mathematics Unit 13 Visualising Solid Shapes Book Back Questions | QB365

8th Standard CBSE Syllabus & Materials

8th Standard CBSE

CBSE 8th Social Science Theme D - Factors of Production - New Model Questions Papers Study Material - QB365 Set A

8th Standard CBSE

CBSE 8th Social Science Theme C - Universal Franchise and India's Electoral System - New Model Questions Papers Study Material - QB365 Set A

NEW

8th Standard CBSE

CBSE 8th Social Science Theme B - The Rise of the Marathas - New Model Questions Papers Study Material - QB365 Set A

NEW

8th Standard CBSE

CBSE 8th Social Science Theme B - Reshaping India's Political Map - New Model Questions Papers Study Material - QB365 Set A

NEW

8th Standard CBSE

CBSE 8th Social Science Theme A - Natural Resources and Their Use - New Model Questions Papers Study Material - QB365 Set A

NEW

8th Standard CBSE

CBSE 8th Science Keeping Time with Skies - New Model Questions Papers Study Material - QB365 Set A

CBSE 8th Mathematics Unit 13 Visualising Solid Shapes Book Back Questions

Published on: 07/09/2019

Visualising Solid Shapes

Download CBSE Class 8th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 8th Standard CBSE Mathematics

Questions + Answers key

Take MCQ Mathematics Test

QB365 Student Learing Managemnet System

Std: 8th Standard CBSE - Mathematics

chapter: - Model Question paper

Visit QB365-SLMS - https://www.qb365.in/slms/ Complete Questions and Answers

Questions:

Generic 2

4 x 2 = 8

The width and length of a rectangular board is 50 cm and 60 cm, respectively. A student has to draw its image on his notebook. While drawing the image on notebook, he takes the scale 1 : 10, then what is the length and width of the rectangular board on the notebook?

Find the scale, it actual size is 45 feet, drawing size is 5 inches.

Draw two figures for each 1-D, 2-D and 3- D.

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

Generic 5

2 x 5 = 10

Use isometric dot paper, to sketch a rectangular prism with length 4 units, height 2 units and width 3 units

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.)

Generic 3

5 x 3 = 15

Find the number of faces in the given shapes.

How many vertices does the following solids have?
Hexagonal prism

Find the number of bases and faces in a Hexagonal pyramid

10.

Find the number of bases and faces in a Rectangular pyramid

11.

Verify which of the following are the faces, edges and, vertices of a polyhedron.
(i) Faces = 10, edges = 20 and vertices = 15
(ii) Faces = 7, edges = 5and vertices = 4
(iii) Faces = 4, edges = 6 and vertices = 4
(iv) Faces= 5, edges = 4 and vertices = 3

Multiple Choice Question

5 x 1 = 5

12.

Side of a square garden is 40 m. If the scale used to draw its picture is 1 cm: 8 m, then the perimeter of the square in the picture is

(a)

15 cm

(b)

25 cm

(c)

20 cm

(d)

32 cm

13.

Which of the following cannot be true for a polyhedron?

(a)

V= 4, F = 6 and E = 6

(b)

V=20,F=12 and E=30

(c)

V =16, F =18 and E = 32

(d)

V = 4, F = 4 and E = 6

14.

Which of the following is a regular polyhedron?

(a)

Cube

(b)

Triangular prism

(c)

Square prism

(d)

Cuboid

15.

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

(a)

An equilateral triangle

(b)

A square with same side length as of triangle

(c)

2 squares with side length same as triangle

(d)

2 equilateral triangles with side length same as triangle

16.

Which of the following will not form a polyhedron?

(a)

3 triangles

(b)

2 triangles and 3 parallelogram

(c)

8 triangles

(d)

1 pentagon and 5 triangles

Fill up / 1 Marks

5 x 1 = 5

17.

A ......depicts the location of a particular object/place in relation to other objects/places.

18.

A ........ has 7 faces.

19.

The net of a ....... has 6 rectangles.

20.

A cone is a solid figure with only ....... vertex.

21.

Square prism is also called a ............

True or False

5 x 1 = 5

22.

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

(a)

False

(b)

True

23.

A cuboid has atleast 4 diagonals.

(a)

False

(b)

True

24.

The other name of a cuboid is tetrahedron.

(a)

True

(b)

False

25.

If the sum of number of vertices and faces in a polyhedron is 16, then the number of edges in that shape is 12.

(a)

True

(b)

False

26.

If a pyramid has a hexagonal base, then the number of vertices is 7.

(a)

False

(b)

True

Visit QB365-SLMS - https://www.qb365.in/slms/

Answers Key:

Generic 2

4 x 2 = 8

Length = 6 cm and width = 5 cm

∵ Scale of map = \(\frac { Size\ drawn }{ Actual\ size } =\frac { 5\ inches }{ 45\ feet } =1inch:9feet\)
So, scale of map is 1 inch = 9 feet.

Each solid and its corresponding top front and side views are given below:

Generic 5

2 x 5 = 10

Suppose, ABCDEFGH is a cube.
which has 6 faces, 8 vertices and 12 edges.
I.e. V = 8, F = 6 and E = 12
Then, V + F - E = 8 + 6-12 = 2
So, the Euler's formula is verified.
Now, suppose we sliced off a Δxyz from this cube, then
Number of faces F₁= Number of faces of cube + One face of Δxyz
= 6 + 1 = 7
∴ Number of vertices V₁= Vertices of cubes - One vertex of cube + 3 vertices of Δxyz
= 8 - 1 + 3 = 10
Number of edges E₁= Number of edges of cube + Number of edges of Δxyz
= 12 + 3 = 15
Now, F₁ + V₁ - E₁ = 7 + 10 - 15 = 17 - 15 = 2
∴ Euler's formula is also verified for this figure.
Thus, we can say that, if some parts are sliced off form a solid; then number of vertices, edges and faces will be changed but still the Euler's formula is verified.