Visualising Solid Shapes Test

Result

Visualising Solid Shapes Test - 21

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Weekly Quiz Competition

Question 1
1 / -0

A pyramid has a square base. How many edges does the pyramid have?

A
8

B
6

C
12

D
5

Solution

R.E.F image
Sq. base pyramid has 8 edges.
Question 2
1 / -0

Suppose one takes a tetrahedron $$ABCD$$ with base $$ACD$$ as shown and combines it with another tetrahedron by connecting their corresponding bases. How many distinct edges does the resulting object have?

A
$$9$$

B
$$12$$

C
$$10$$

D
$$11$$

E
$$8$$

Solution

Solution:
After joining two tetrahedron by connecting their bases.
We have,
Number of vertices $$V=5$$
Number of faces $$F=6$$
Number of Edges $$=?$$
By Euler's Polyhedral Formula
$$V+F-E=2$$
or, $$5+6-E=2$$
or, $$E=11-2=9$$
So, Number of Edges $$=9$$
Hence, A is the correct option.
Question 3
1 / -0

What is the shape of the side faces of a pyramid?

A
Triangles

B
Squares

C
Polygons

D
Trapeziums

Solution

It is clear from the figure of pyramids that they have $$triangular$$ side faces
Question 4
1 / -0

Can a polyhedron have 3 triangular faces only? explain.

A
No

B
Yes

C
Depends on measurement

D
None of these

Solution

No, a polyhedron with 3 triangular faces does not exist,
Because For polyhedrons to exist they must have 4 triangular faces.
Question 5
1 / -0

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

A
Yes

B
No

C
Depends on dimension

D
None of these

Solution

Given: No. of face(F):10
No. of edges(E):20

No. of vertices(V):15

According to Euler formula, we know that

F + V = E + 2

That is, here

10 + 15 = 20 + 2

⇒ 25 = 22

This is not true.(That is, 25≠22 )

∴ A polyhedra with 10 faces, 20 edges and 15 vertices is not possible.
Question 6
1 / -0

Which solid figure can be made with this net?

A
Prism

B
Square pyramid

C
Cylinder

D
None of these

Solution

The given net is square pyramid.
Question 7
1 / -0

What is the name of the object given .

A
Pentagonal pyramid

B
Hexagonal pyramid

C
Triangular pyramid

D
None of these

Solution

A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. And pyramid is known by its $$n-$$sides polygonal base.
In given figure there is yellow pentagonal base and on each side of this pentagon there lies a triangle.
All of which meet at one vertex, apex.
So, it is pentagonal pyramid.
Hence, option $$A$$ is correct.
Question 8
1 / -0

what is the name of the object given.

A
Tringular prism

B
Square prism

C
Octogonal prism

D
None of these

Solution

A prism consists of two $$n-$$ sides polygonal bases places exactly in front of each other at some distance and each of corresponding edges of $$2$$ bases are joined by $$4$$ sided polygon, normally rectangle.
So, prism is known by its $$n-$$sides polygonal base.
In given figure base is $$3$$ sided triangle, so prism is triangular prism.
Hence, option $$A$$ is correct.
Question 9
1 / -0

The given figure is an example of?

A
Cube

B
Cuboid

C
Tetrahedron

D
Prism

Solution

There are $$4$$ vertices, therefore the given figure is tetrahedron.
Question 10
1 / -0

A cuboidal box has _______ corner points.

A
$$10$$

B
$$6$$

C
$$12$$

D
$$8$$