Visualising Solid Shapes Test

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Visualising Solid Shapes Test - 11

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Weekly Quiz Competition

Question 1
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Which of the following statements are true?

A
A hexagonal prism has two bases that are hexagons.

B
A hexagonal prism has six faces that are rectangles.

C
Hexagonal prisms that have bases with sides of equal length are called regular hexagonal prisms.

D
All of these statements are true.

Solution

(i) In geometry, the hexagonal prism is a prism with hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices.
(ii) Two base faces are hexagon and remaining $$6$$ are square faces.
(iii) Since, any polygon having sides of equal length are called as regular polygon. Thus, bases with sides of equal length are called as regular hexagonal prisms.
Hence, all three statements are true.
Question 2
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What is a prism?

A
Two 2-dimensional shapes joined together to form any enclosed multi-dimensional shape

B
Two 2-dimensional shapes joined together to form an enclosed 3-dimensional shape

C
Two pentagonal shapes joined together to form an enclosed 3-dimensional shape

D
Two circular shapes joined together to form an enclosed 3-dimensional shape

Solution

A prism is a polyhedron, with two parallel faces called bases. The other faces are always parallelograms.
It is a $$3$$-dimensional shape having flat faces, identical ends and same cross section.
So, option A is incorrect.
If we join any $$2$$-dimensional shapes, it does not imply that the shape created is a prism.
Circular shapes does not have flat faces in $$3$$-dimensional plane.
If we join two pentagonal shapes, we get a prism.
Hence, option C is correct.
Question 3
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A prism is:

A
A set of rectangles with slanted sides

B
Two polygons joined together to form an enclosed three-dimensional figure

C
A type of box with sides that are not parallel

D
Two cylinders with ovals as the top and bottom.

Solution

The ends of a prism are parallel and each one is called a base.
A prism is a polyhedron, which means no curves exist and all faces are flat.
A cross section is the shape made by cutting straight across an object.
Thus, a prism is a solid object with: identical ends; flat faces; and the same cross section all along its length.
Thus, only option B is correct.
Question 4
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A prism is a solid object with :
I: identical ends
II: flat faces
III: same cross section all along its length

Which of the following holds true?

A
I and II only

B
II and III only

C
I and III only

D
All I, II and III

Solution

The ends of a prism are parallel and each one is called a base.
A prism is a polyhedron, which means no curves exist and all faces are flat.
A cross section is the shape made by cutting straight across an object.
Thus, a prism is a solid object with: identical ends; flat faces; and the same cross section all along its length
Question 5
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Which of the following has no rectangular faces?

A
A triangular pyramid

B
A triangular prism

C
A square prism

D
A cube

Solution

A triangular prism has $$3$$ rectangular faces and $$2$$ triangular faces.
A square prism is a three dimensional shape with six rectangular shaped sides, at least two of which are squares.Square has all faces rectangular.
All faces of a cube are square and squares has all faces rectangular.
But, a triangular pyramid has four faces and all four faces are triangular.
Hence, triangular pyramid has no rectangular faces.
Question 6
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Square prisms always consist of at least how many squares?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

A square prism is a three dimensional cuboid figure whose bases are squares. In a square prism, the opposite sides and angles are congruent.
The bases should be square and there are two bases in each prism.
Hence, it consist of at-least $$2$$ squares.
Question 7
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Faces of the cube are in shape of ..........

A
Square

B
Rectangle

C
Circle

D
Triangle

Solution

Faces of the cube are in the shape of square.
Question 8
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Top view of the triangluar prism will be......

A
Square

B
Rectangle

C
Circle

D
Triangle

Solution

The top-view of a triangular prism is a rectangle.
Question 9
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Which of the following answers accurately describes the physical properties of a square pyramid?

A
Square base, four triangular sides, six vertices, eight edges

B
Square base, four triangular sides, five vertices, eight edges

C
Square base, four triangular sides, six vertices, six edges

D
Square base, four triangular sides, five vertices, six edges

Solution

A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.
The base of this pyramid is a square, and the top point is the apex. It was mentioned that a square pyramid is a polyhedron.
Hence, option B is correct.
Question 10
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Prisms are named for:

A
The circles that make up the sides

B
The rectangles and angles of the shape

C
The shapes that form their faces

D
The three-dimensional shapes they form

Solution

We name the prism based on their the faces formed by base.
For example, A prism having square bases is named as square prism.
A prism having pentagon bases are pentagonal prism.
Hence, the prism are named for the shapes that form their faces.

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Visualising Solid Shapes Test - 11

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Visualising Solid Shapes Test - 11

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SHARING IS CARING

Question 1

A hexagonal prism has two bases that are hexagons.

A hexagonal prism has six faces that are rectangles.

Hexagonal prisms that have bases with sides of equal length are called regular hexagonal prisms.

All of these statements are true.

Solution

Question 2

Two 2-dimensional shapes joined together to form any enclosed multi-dimensional shape

Two 2-dimensional shapes joined together to form an enclosed 3-dimensional shape

Two pentagonal shapes joined together to form an enclosed 3-dimensional shape

Two circular shapes joined together to form an enclosed 3-dimensional shape

Solution

Question 3

A set of rectangles with slanted sides

Two polygons joined together to form an enclosed three-dimensional figure

A type of box with sides that are not parallel

Two cylinders with ovals as the top and bottom.

Solution

Question 4

I and II only

II and III only

I and III only

All I, II and III

Solution

Question 5

A triangular pyramid

A triangular prism

A square prism

A cube

Solution

Question 6

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 7

Square

Rectangle

Circle

Triangle

Solution

Question 8

Square

Rectangle

Circle

Triangle

Solution

Question 9

Square base, four triangular sides, six vertices, eight edges

Square base, four triangular sides, five vertices, eight edges

Square base, four triangular sides, six vertices, six edges

Square base, four triangular sides, five vertices, six edges

Solution

Question 10

The circles that make up the sides

The rectangles and angles of the shape

The shapes that form their faces

The three-dimensional shapes they form

Solution

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