Nets of a Solids

We will learn how to use nets to find the surface area of a solid?

Let us take a box made of cardboard. If we cut open the box and flatten it out, the flat shape is called the net of the box. A net is a two-dimensional shape that can be folded to make a three-dimensional shape. The net of a solid is a diagram drawn on a paper which when cut and folded along the lines can be used to construct a solid shape.

For example, the following diagram shows nets of a cube.

Nets of a Cube

Not every arrangement of six squares on a paper produces a net for a cube. For example, a row of six squares does not fold to form a cube.

Net for a Cube

The net of a cylinder without top and bottom would look like a rectangle.

Net of a Cylinder without Top and Bottom

Drawing a 3 – dimensional shape depends on its view from different positions. A solid shape viewed from the front will look different when we look at it from the top or from side. For example, a cylinder viewed from the front and side will look like a rectangle but when we look at it from top it is a circle.

Views of 3-D Shapes

The views of a solid from three different directions namely top, front and side are known as plan, front elevation and side elevation respectively.


The net of a cone would look like as given below.

Net of a Cone

Questions and Answers on Nets of a Solids:

1. Match the object to its net.

Match the Object to its Net

Answer:

(i)  3.

(ii)  1.

(iii)  4.

(iv)  2.



2. Color the correct net.

Color the Correct Net

3. Based on the nets given, complete the given data.

Shapes and Net

Answer:

Shapes

Net

Faces

Edges

Vertices

Cube

(ii)

6

12

8

Cuboid

(iii)

6

12

8

Cone

(iv)

2

1

1

Cylinder

(i)

3

2

1


4. Choose the right answer.

The number of faces in a cylinder is:

(a) 3

(b) 4

(c) 5

(d) 6


Answer: (c)


5. Which of the given is not the correct net for a cube?

Not the Correct Net for a Cube

Answer:

(i)


6. The front elevation, side elevation and plan of some objects are given. Choose the correct object out of three choices.

Front Elevation
Side Elevation

Answer:

(i) 3

(ii)   2


7. Fill in the blanks:

(i) What shape do you see when you look at a mug from the top?

(ii) What shape do you see when you look at a badminton court from the top?

(iii) What shape do you see when you look at a glass from the side?

(iv) What shape do you see when you look at a bus from the front?


Answers:

(i) Circle

(ii) Rectangle

(iii) Rectangle

(iv) Rectangle


8. Choose the right answer.

What shape do you see when you look at a Mobile Phone from the side?

(i) Circle          (ii) Cone          (iii) Triangle          (iv) Rectangle


Answer: 

(iv) Rectangle







7th Grade Math Problems

8th Grade Math Practice

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