Visualising Solid Shapes Test

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Visualising Solid Shapes Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

Which geometric solid among the following has the maximum number of vertices?

A
Cone

B
Cylinder

C
Cuboid

D
Sphere

Solution

A cuboid has $$ 8 $$ vertices , which is maximum among the given solids.
Hence from the above given geometric figures, it has the maximum number of vertices.

So, $$Op-C$$
Question 2
1 / -0

All right prisms have side views that are

A
different shapes

B
rectangular

C
square

D
triangular

Solution

The right prisms are named based on their bases.

Like, if a right prism has triangular bases then that prism will be named as right triangular prism or if it has rectangular bases then it is named as right rectangular prism.

But all right prisms has their side faces as rectangle so that their faces meet and form a line segment.

Hence, all right prisms have side views that are rectangular.
Question 3
1 / -0

Identify the following 3-D object.

A
cylinder

B
right rectangular prism

C
right triangular prism

D
triangular pyramid

Solution

The given 3-D object has all six faces as rectangles.
This is a polyhedron that has $$8$$ vertices, $$12$$ edges, and $$6$$ faces.
All the properties of the above 3-D object match with the properties of a right rectangular prism.
Hence, the given 3-D object is a right rectangular prism.
Question 4
1 / -0

The faces of a square pyramid consist of:

A
Six squares

B
Two squares and four rectangles

C
One square and three triangles

D
One square and four triangles

Solution

The square pyramid has a square base.
And the faces attached with apex are triangles.
From each side of square, one triangle face is being created and get attached to apex.
Since, there are $$4$$ sides in a square.
Thus, there will be $$4$$ triangles.
Hence, faces of a square pyramid has one square and four triangles.
Question 5
1 / -0

Non-right pyramids are called

A
Oblique Pyramids

B
Tetrahedron based pyramids

C
Pentagon based pyramids

D
Hexagon based pyramids

Solution

A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle, called a lateral face.
A right pyramid has its apex directly above the centroid of its base.
Non-right pyramids are the one where the apex is not over the base center point which matches with the definition of oblique pyramid.
Hence, non-right pyramids are called oblique pyramids.
Question 6
1 / -0

A solid with polygonal base and vertex is a

A
Diamond

B
Pyramid

C
Triangle

D
Dice

Solution

From the definition of a pyramid,
A solid with polygonal base and vertex is a Pyramid.
Hence, the answer is pyramid.
Question 7
1 / -0

What type of pyramid is this, with base as regular pentagon?

A
irregular pyramid

B
square pyramid

C
right pyramid

D
triagonal pyramid

Solution

A right pyramid has its apex directly above the centroid of its base. Hence, pyramid with base as regular pentagon is a right pyramid.
Question 8
1 / -0

Which one of the following is NOT a property of a pentagonal prism?

A
All pentagonal prisms have five sides.

B
All pentagonal prisms have seven sides.

C
All pentagonal prisms have ten vertices.

D
All pentagonal prisms have 15 edges.

Solution

The pentagonal prism is a prism with a pentagonal base.
It is a type of heptahedron with 7 faces(or sides), 15 edges, and 10 vertices.
Hence, option A is NOT a property of a pentagonal prism.
Question 9
1 / -0

Which of the following is NOT a prism?

A
Parallelepiped

B
Cuboid

C
Cube

D
Cylinder

Solution

Parallelepiped is a three-dimensional shape formed by a $$6$$ parallelogram.
It has identical ends. All faces are flat since all faces of a parallelogram are flat. And has the same cross-section along its length. Therefore it's a prism.
Cuboid is a $$3$$-dimensional shape formed by rectangular faces.
Thus, it has flat faces, identical ends and same cross section along its length.
Cube is also a $$3$$-dimensional shape formed by square faces.
Thus, it has flat faces, identical ends ans same cross section.

But in a cylinder, the faces are not flat.
Only cylinder does not satisfies the properties of prism.
Hence, cylinder is not a prism.
Question 10
1 / -0

Why is a Rubik's Cube a square prism?

A
All of its sides are equal.

B
It's smaller than a moving box.

C
It's a three-dimensional shape based on at least two squares.

D
It's a three-dimensional shape based on at least four squares.

Solution

Rubik's cube is a 3-D combination which consist of six faces.
All of the faces are squares. So, we can say at-least two faces are squares.
A square prism is a three dimensional cuboid figure whose bases are squares.
So, square prism is also based on at-least two squares.
Hence, option C is correct.

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Visualising Solid Shapes Test - 10

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Visualising Solid Shapes Test - 10

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SHARING IS CARING

Question 1

Cone

Cylinder

Cuboid

Sphere

Solution

Question 2

different shapes

rectangular

square

triangular

Solution

Question 3

cylinder

right rectangular prism

right triangular prism

triangular pyramid

Solution

Question 4

Six squares

Two squares and four rectangles

One square and three triangles

One square and four triangles

Solution

Question 5

Oblique Pyramids

Tetrahedron based pyramids

Pentagon based pyramids

Hexagon based pyramids

Solution

Question 6

Diamond

Pyramid

Triangle

Dice

Solution

Question 7

irregular pyramid

square pyramid

right pyramid

triagonal pyramid

Solution

Question 8

All pentagonal prisms have five sides.

All pentagonal prisms have seven sides.

All pentagonal prisms have ten vertices.

All pentagonal prisms have 15 edges.

Solution

Question 9

Parallelepiped

Cuboid

Cube

Cylinder

Solution

Question 10

All of its sides are equal.

It's smaller than a moving box.

It's a three-dimensional shape based on at least two squares.

It's a three-dimensional shape based on at least four squares.

Solution

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