Nets of Solids Worksheet

Nets of Solids Worksheet
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 1.  
Which solid can be formed using the net shown?


a.
a cylinder
b.
a prism
c.
a sphere
d.
a cone


Solution:

The net has two circles and one rectangle.

If the net is folded, the two circles form the two circular bases and the rectangle forms the curved part of a cylinder.

So, the three-dimensional figure formed will be a cylinder.


Correct answer : (1)
 2.  
What figure can you make from the net?


a.
a cylinder
b.
a cylinder with no bases
c.
a cube with no base
d.
a rectangular prism


Solution:

The net shows a square without fold lines. So, we can form a cylinder with no bases from this net.


Correct answer : (2)
 3.  
Identify the rectangular prism that the net shown would fold into.



a.
Figure 4
b.
Figure 3
c.
Figure 1
d.
Figure 2


Solution:

A rectangular prism has two congruent rectangular bases and four rectangular side faces joining the two bases, where the opposite side faces are parallel and congruent.

When the given net is folded, it matches with Figure 3.

So, Figure 3 is the rectangular prism that the net shown would fold into.


Correct answer : (2)
 4.  
Which of the nets can be folded to form a cylinder?

a.
Figure 2
b.
Figure 4
c.
Figure 3
d.
Figure 1


Solution:

The net of a cylinder has one rectangular face and two circular bases, which are parallel and congruent when the rectangular face is folded.

The net in Figure 1 has two circular bases, which are parallel and congruent when the rectangular face is folded.

The net in Figure 2 has two circular bases, which are neither congruent nor parallel when the rectangular face is folded.

The nets in Figure 3 and Figure 4 have two circular bases, which are congruent but not parallel when the rectangular faces are folded.

So, the net in Figure 1 can be folded to form a cylinder.


Correct answer : (4)
 5.  
Which of the nets can be folded to form a rectangular prism?

a.
Figure 2
b.
Figure 1
c.
Figure 4
d.
Figure 3


Solution:

A rectangular prism has six faces in the form of rectangles or squares, with the opposite side faces being congruent and parallel.

The nets in Figure 1, Figure 2 and Figure 3 cannot be folded into rectangular prisms as they have only 5 faces.

Figure 4 has six faces and its bases are in the form of squares.

So, Figure 4 can be folded to form a rectangular prism .


Correct answer : (3)
 6.  
Which net can be folded to form a rectangular prism?


a.
Figure 2
b.
Figure 3
c.
Figure 1
d.
Figure 4


Solution:

A rectangular prism has six faces in the form of rectangles or squares, with the opposite side faces being congruent and parallel.

The net in Figure 1 has six faces required to form a rectangular prism.

The net in Figure 2 has only 4 faces and the nets in Figure 3 and Figure 4 have only 5 faces.

So, the net in Figure 1 can be folded to form a rectangular prism.


Correct answer : (3)
 7.  
Identify the net for the rectangular prism.

a.
Figure 2
b.
Figure 4
c.
Figure 1
d.
Figure 3


Solution:

The net in Figure 1 has only 5 faces.
[A rectangular prism has six faces in the form of rectangles or squares, with the opposite sides being congruent and parallel.]

The nets in Figure 2 and Figure 4 have six faces but cannot be folded into a rectangular prism as shown.

The net in Figure 3 can be folded into a rectangular prism as shown.

So, Figure 3 represents the net for the rectangular prism.


Correct answer : (4)
 8.  
Which of the figures represents the front view of the solid?

a.
Figure 3
b.
Figure 2
c.
Figure 1
d.
none of these


Solution:

Front view is a plane figure which shows how a solid looks when seen from the front.

Among the figures, Figure 1 is the front view of the solid.


Correct answer : (3)
 9.  
Which of the figures represents the side view of the solid?


a.
Figure 3
b.
Figure 1
c.
Figure 2
d.
none of these


Solution:

Side view is a plane figure which shows how a solid looks like when viewed from the side.

Among the figures, Figure 3 is the side view of the solid figure.


Correct answer : (1)
 10.  
Which is the top view of the solid?

a.
Figure 1
b.
Figure 2
c.
Figure 3
d.
none of these


Solution:

Top view is a plane figure which shows how a solid looks like when viewed from the top.

Among the figures, Figure 1 is the top view of the solid.


Correct answer : (1)

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