MCQ Questions for Class 8 Maths Visualising Solid Shapes Quiz 4

The top view of

0%
True
0%
False

Explanation

The given statement is True as we will only see

$3$ cubes from the top out of which

$2$ are shaded.

Pyramids do not have a diagonal.

0%
True
0%
False

Pyramid is a solid figure, the base of which is a triangle or square or some other polygon and its side faces are equilateral triangles that converges to a point at the top.

0%
True
0%
False
0%
Ambiguous
0%
Data Insufficient

An icosahedron has 30 edges and 12 vertices. How many faces does it have?

0%
10
0%
20
0%
30
0%
40

Explanation

Euler's polyhedron formula,

$V - E + F =2$
V = number of vertices
E = number of edges
F = number of faces
So,

$12 - 30 + F = 2$

$F - 18 = 2$

$F = 18 + 2$

$F = 20$
Number of faces = 20.

Using Eulers formula find the unknown

Faces	?	5	20
Vertices	6	?	12
Edges	12	9	?

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Faces 6, Vertices 6, Edges 30
0%
Faces 8, Vertices 8, Edges 30
0%
Faces 8, Vertices 6, Edges 30
0%
Faces 8, Vertices 6, Edges 31

Choose the same relationship from given four choices as given in the original pair.

(i) Square: Cube

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Triangle : Prism
0%
Line : Cylinder
0%
Circle : Sphere
0%
Sphere : Earth

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

0%
Yes
0%
No
0%
Either
0%
Neither

Is a square prism same as a cube? Explain.

0%
Yes
0%
No
0%
Either
0%
Neither

Explanation

$\textbf{Step -1: Defining Square prism.}$

$\text{Square prism is a three-dimensional cuboid figure whose base and top are equal square in shape }$

$\text{and the remaining four faces are in rectangular shape.}$

$\textbf{Step -2: Defining cube.}$

$\text{Cube is a special type of cuboid whose all six faces are equal squares in shape.}$

$\textbf{Step -3: Finding the correct option.}$

$\therefore\text{All cubes are square prisms but all square prisms are not necessarily cubes.}$

$\text{Thus, a square prism is not same as a cube.}$

$\textbf{Hence, Option B is correct.}$

The solids are

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more dense
0%
less dense
0%
least dense
0%
highly compressible

Which are prisms among the following?

Explanation

Prism is a polyhedron with

$n$ -sided polygonal base, with another congruent parallel base and

$n$ faces joining the corresponding sides to the bases. According to the definition:

(i) It is not a polyhedron as it has a curved surface. Therefore, it will not be a prism.
(ii) It is a prism as it follows the condition given above.
(iii) It is not a prism. It is a pyramid.
(iv) It is a prism as it follows the condition given above.

How can pyramids and cones be alike?

0%
Number of sides of its base becomes larger and larger.
0%
Number of sides of its base becomes smaller and smaller.
0%
Number of sides of its base are equal.
0%
None of the above

How are prisms and cylinders alike?

0%
Its base becomes larger and larger.
0%
Its base becomes smaller and smaller.
0%
Either
0%
Neither

A solid object when seen from one side, looks like this (square image).
The same solid, when viewed from the top, looks like this (triangular image).

Identify the figure in three dimensions.

Madhavi glued

$4$ white cubes together as shown below. Then she painted the entire figure red. How many faces of the

$4$ cubes were painted red?

0%
$4$
0%
$9$
0%
$18$
0%
$24$

Explanation

The red coloured faces will be

$4$ front and

$4$ back faces,

$2$ side faces,

$4$ top faces and

$4$ botton faces.

$\Rightarrow 4\times 4+2\times 1=16+2=18$

A solid object when seen from one side looks the same when viewed from the top. Which of these shapes could it be?

The following figure represents a

0%
Polygon
0%
Convex polyhedron
0%
Cylinder
0%
None of these

$F = 4$ and

$V = 3$ , then the value of

$E$ is: (Use Euler's formula) :

0%
$7$
0%
$5$
0%
$4$
0%
$1$

Explanation

We have Euler formula as:

$F + V = E + 2$

$\because F = 4$ and

$V = 3$

$\Rightarrow 4 + 3 = E + 2$

$\Rightarrow E = 5$

Which of the following solid has six rectangular faces ?

0%
Cuboid
0%
Pyramid
0%
Cone
0%
Triangular prism

Which of the given geometric solids has the maximum number of vertices ?

0%
Cone
0%
Cylinder
0%
Cuboid
0%
Triangular pyramid

Explanation

A cone has

$1$ vertex.

A cylinder has

$0$ vertices

A cuboid has

$8$ vertices.

And a triangular pyramid has

$4$ vertices

So, a cuboid has the maximum number of vertices among the given shapes.

Choose the correct statement from the following.

0%
A triangle has 3 sides and 4 vertices
0%
A solid cylinder has 3 faces
0%
All sides of the rectangle are equal
0%
A cuboid has 4 flat faces and 12 straight edges

Explanation

A. A triangle has

$3$ sides and

$3$ vertices.

B. A cylinder has

$3$ faces - two circular faces at the two ends and the third a curved face.

$\textbf{Statement B is correct.}$

C. Only opposite sides of a rectangle are equal.

D. A cuboid has

$6$ flat faces and

$12$ edges.

928369_266528_ans_dec72ee5580a4844a70f3fd9a7401eb1.jfif

Which of the following figure has six faces ?

An tetrahedron has 4 faces and 6 edges. How many vertices does it have?

0%
2
0%
4
0%
6
0%
8

Explanation

$V - E + F =2$
Where

$V$ = number of vertices = ?

$E$ = number of edges =

$6$

$F$ = number of faces =

$4$

$V-6+4=2$

$V-2=2$

$V=4$

How many faces does a dodecahedron have whose vertices are

$20$ and edges

$30$ ?

0%
$12$
0%
$24$
0%
$20$
0%
$30$

Explanation

Euler's polyhedron formula,

$V - E + F =2$

$V =$ number of vertices

$E =$ number of edges

$F =$ number of faces
So,

$20 - 30 + F = 2$

$F - 10 = 2$

$F = 10 + 2$

$F = 12$
Number of faces

$= 12$ .

Which is the top view of the prism?

0%
0%
0%
0%
None of these

Identify the solid with a square base and

$4$ triangle-shaped sides.

0%
Figure 2
0%
Figure 1
0%
Figure 3
0%
Figure 4

Explanation

Figure 1 has a square base and

$4$ triangle-shaped sides.
Figure 2 is a cube that has no triangular-shaped sides.
Figure 3 is a triangular prism that has only 2 triangular sides.
Figure 4 is a triangular pyramid that has no square base.

Which of these three-dimensional figures do not have polygonal faces?

0%
Figure 2
0%
Figure 1
0%
Figure 3
0%
Figure 1 and 3

Parul made the stack of blocks shown in the adjoining figure. Which of the following figures shows the front view of the stack of blocks ?

Explanation

Clearly, from the given figure, we can see that option

$B$ will show correct front view of stack of block.

If you were looking at the 3D shape from the left side what would you see?

A pentagonal pyramid has 6 faces, 6 vertices and 10 edges. Find its Euler characteristic.

0%
1
0%
2
0%
3
0%
4

Explanation

The Euler's formula for polyhedron is

$V - E + F =\chi$
Where

$\chi$ = Euler characteristic

$V$ = number of vertices =

$6$

$E$ = number of edges =

$10$

$F$ = number of faces =

$6$

So,

$6-10+6=\chi$

$\chi = 12-10$

$\chi = 2$

If you look at this object from the top, what will you see?

CBSE Questions for Class 8 Maths Visualising Solid Shapes Quiz 4 - MCQExams.com

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Practice Class 8 Maths Quiz Questions and Answers

CBSE Questions for Class 8 Maths Visualising Solid Shapes Quiz 4 - MCQExams.com

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Practice Class 8 Maths Quiz Questions and Answers

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