Understanding Elementary Shapes Test

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Understanding Elementary Shapes Test - 28

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Question 1
1 / -0

Which of the following solid has six rectangular faces ?

A
Cuboid

B
Pyramid

C
Cone

D
Triangular prism

Solution

Ref fig.
Only Cuboid has six rectangular faces.
Question 2
1 / -0

Which of the following figure has six faces ?

A

B

C

D

Solution

Option B shows a cube, which has 6 faces
Question 3
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Which two solid shapes have been combined to form this solid shape?

A
Two pyramids

B
A pyramid and a triangular prism

C
A cuboid and a triangular prism

D
A cuboid and a pyramid

Solution

A pyramid and a cuboid.
Question 4
1 / -0

What shape does the base and the faces of the given figure make?

A

B

C

D

Solution

From the given figure it is clear that the Square and triangle makes the base and face of the figure.
Question 5
1 / -0

The angles in a right-angled triangle other than the right angle are-

A
Right

B
Obtuse

C
Acute

D
None of these

Solution

$$\displaystyle \because $$ One of the angle is $$\displaystyle 90^{\circ}$$ and the sum of other two angles is $$\displaystyle 90^{\circ}$$ So they are acute
Question 6
1 / -0

Cone has _________ curved edge.

A
2

B
3

C
0

D
4

Solution

Edge is a line segment joining two faces.
cone has zero curved edges.
Question 7
1 / -0

Square is not a

A
rhombus

B
rectangle

C
trapezium

D
parallelogram

Solution

$$\textbf{Step-1: Comparing with trapezium}$$
$$\text{The definition of a square does not comply with the}$$
$$\text{definition of a trapezoid. The definition of a trapezoid}$$
$$\text{is a quadrilateral (a closed plane figure with 4 sides) with exactly one pair of parallel sides.}$$
$$\textbf{Step-2: Comparing with other option}$$
$$\text{On the other hand, a square is a very special kind of}$$
$$\text{quadrilateral; A square is also a parallelogram because}$$
$$\text{it has two sets of parallel sides and four right angles. A}$$
$$\text{square is also a parallelogram because opposite sides}$$
$$\text{are parallel. A square is always a rhombus. A rhombus}$$
$$\text{is a quadrilateral with four congruent sides. If the rhombus has 4}$$
$$\text{right angles it may also be called a square. So every square is a rhombus.}$$
$$\textbf{Hence , Square is not a (C) trapezium}$$
Question 8
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Which of the given geometric solids has the maximum number of vertices ?

A
Cone

B
Cylinder

C
Cuboid

D
Triangular pyramid

Solution

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.
Question 9
1 / -0

The four sides of a _______ are equal.

A
square

B
rectangle

C
triangle

D
none

Solution

Square has four sides and all the sides are equal.
So, we can say that the four sides of a square are equal.
Hence, the answer is square.
Question 10
1 / -0

Cone has how many number of faces?

A
2

B
1

C
3

D
4