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.
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.
The net of a cylinder without top and bottom would look like a rectangle.
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.
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.
Questions and Answers on Nets of a Solids:
1. Match the object to its net.
Answer:
(i) → 3.
(ii) → 1.
(iii) → 4.
(iv) → 2.
2. Color the correct net.
3. Based on the nets given, complete the given data.
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?
Answer:
(i)
6. The front elevation, side elevation and plan of some objects are given. Choose the correct object out of three choices.
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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