Visualising Solid Shapes Test

Result

Visualising Solid Shapes Test - 13

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Question 1
1 / -0

Which of the following solid object is same as the square prism?

A
Cube

B
Pyramid

C
Cuboid

D
None of these

Solution

A cube is a square prism.
Question 2
1 / -0

Which three dimensional figure has $$5$$ faces, $$8$$ edges and $$5$$ vertices?

A

B

C

D

Solution

A) Rectangular Pyramid-It has $$5$$ faces, $$8$$ edges and $$5$$ vertices.
B) Cube- it has $$6$$ faces, $$12$$ edges and $$8$$ vertices.
C)Cuboid-It has $$6$$ faces, $$12$$ edges and $$8$$ vertices.
D) Cylinder-It has $$3$$ faces, $$2$$ edges and no vertices.
Answer : A
Question 3
1 / -0

$$p :$$ The corners of a solid shape are called its edges.
$$q :$$ The line segments of a solid shape are called its vertices.
Which of the following options hold?

A
Both $$p$$ and $$q$$ are true

B
$$p$$ is true and $$q$$ is false

C
Both $$p$$ and $$q$$ are false

D
$$p$$ is false and $$q$$ is true

Solution

Edges are the line segments which make the sides of a solid shape, whereas, vertex is the corner of a solid shape, the point where edges meet.

Hence, both $$p$$ and $$q$$ are false.
Question 4
1 / -0

How many faces does a coin has

A
$$ 1 $$

B
$$ 2 $$

C
$$ 3 $$

D
$$ 4 $$

Solution

Coin has two faces $$\{Head,tail\}$$
$$n(S)=2$$
Question 5
1 / -0

How many faces does a coin have

A
1

B
2

C
3

D
4

Solution

A coin has $$2$$ faces
$$\Rightarrow$$ Head and Tail
Question 6
1 / -0

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.

A
True

B
False

C
Ambiguous

D
Data Insufficient

Solution

A pyramid is a structure whose outer surfaces are triangular and converge to a single point at the top. The base of a pyramid can be trilateral, quadrilateral, or of any polygon shape.
Question 7
1 / -0

Using Eulers formula find the unknown
Faces
?
5
20
Vertices
6
?
12
Edges
12
9
?

A
Faces 6, Vertices 6, Edges 30

B
Faces 8, Vertices 8, Edges 30

C
Faces 8, Vertices 6, Edges 30

D
Faces 8, Vertices 6, Edges 31

Solution

Euler's formula is:
Vertices (V) - Edges (E) + faces (F) = 2
For (i) : 12 - 6 + F = 2
Hence, Faces = 8
For (ii) : V - 9 + 5 = 2
Hence, Vertices = 6
For (iii) : 12 - E + 20 = 2
Hence, Edges = 30
Question 8
1 / -0

Choose the same relationship from given four choices as given in the original pair.
(i) Square: Cube

A
Triangle : Prism

B
Line : Cylinder

C
Circle : Sphere

D
Sphere : Earth

Solution

Each surface of a cube is a square.
Similarly each surface of a prism is a triangle.
Question 9
1 / -0

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

A
Yes

B
No

C
Either

D
Neither

Solution
Question 10
1 / -0

The boundaries of the solids are:

A
curves

B
straight

C
surfaces

D
circles

Solution

The boundaries of the solid are surfaces.
They have outer boundaries and some solids may have an arbitrary number of inner boundaries.