NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes
NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes , introduces the different dimensions of shapes and geometrical figures and shapes to the students. Class 8 Math Chapter 10 contains some interesting concepts such as visualising solid shapes, views of 3d-shapes like cubes, cylinders, spheres, cylinders, cones, etc. Mapping space around faces and us, vertices and edges. NCERT Solutions Class 8 Math Chapter 10 Visualising Solid Shapes chapter is more interesting and easy to understand. Here Knowledge glow provides all the NCERT Solutions for class 8 maths chapter 10 visualising solid shapes.
Main Topics of Visualising Solid Shapes
The main topics covered in this chapter include:
| Exercise | Topic |
| 10.1 | Introduction |
| 10.2 | Views of 3D-Shapes |
| 10.3 | Mapping Space Around Us |
| 10.4 | Faces, Edges and Vertices |
What are the Key Features of NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes
- simple and Easy techniques used for finding accurate answers.
- Our solutions are designed based on the newest (Latest) syllabus.
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Class 8 Maths Chapter 10 Visualising Solid Shapes Exercise 10.1
Question 1. For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. The first one is done for you.
Solution:
(a) A bottle → (iii) → (iv)
(b) A weight → (i) → (v)
(c) A flask → (iv) → (ii)
(d) Cup and saucer → (v) → (iii)
(e) Container → (ii) → (i)
Question 2. For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.
Solution:
(a) Almirah → (i) Front (ii) Side (iii) Top view
(b) Match box (i) Side (ii) Front (iii) Top view
(c) Television (i) Front (ii) Side (iii) Top view
(d) Car (i) Front (ii) Side (iii) Top view
Question 3. For each given solid, identify the top view, front view and side view.
Solution:
(a) (i) Top view →(ii) Front view →(iii) Side view
(b) (i) Side view →(ii) Front view →(iii) Top view
(c) (i) Top view →(ii) Side view →(iii) Front view
(d) (i) Side view →(ii) Front View →(iii) Top view
(e) (i) Front view →(ii) Top view →(iii) Side view
Question 4. Draw the front view, side view and top view of the given objects:
Solution:
Class 8 Maths Chapter 10 Visualising Solid Shapes Exercise 10.2
Question 1. Look at the given map of a city.
Answer the following: Colour the map as follows: Blue-water, red-fire station , orange-library, yellow – schools, Green – Park , Pink – College, Purple – Hospital , Brown-Cemetery.
(a) Mark a green ‘X’ at the intersection of Road C and Nehru Road, Green ‘Y’ at the intersection of Gandhi Road and Road A.
(b) In red, draw a short street route from library to the bus depot.
(c) Which is the further east, the city park or the market?
(d) Which is further south, the primary School or the Sr. Secondary School?
Solution:
(a)
(b)
(c)
(d) City Park
(e) Sr. Secondary School
Question 2. Draw a map of your class room using proper scale and symbols for different objects.
Solution:
Do it yourself
Question 3. Draw a map of your school compound using proper scale and symbols for various features like playground, main building garden etc.
Solution:
Do it yourself
Question 4. Draw a map giving instructions to your friends so that she reaches your house without any difficulty.
Solution:
Do it yourself
Class 8 Maths Chapter 10 Visualising Solid Shapes Exercise 10.3
Question 1. Can a polyhedron have for its faces:
(i) 3 Triangles?
(ii) 4 triangles?
(iii) A square and four triangles?
Solution:
(i) No, such polyhedrons aren’t potential. Such figures ought to have minimum four faces.
(ii) Yes, a triangular pyramid has four triangular faces.
(iii) Yes, as sq. pyramid incorporates a sq. face and four triangular faces.
Question 2. Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid)
Solution:
Yes, It is possible only when the number of faces is greater than or equal to 4.
Question 3. Which are prisms among the following:
Solution:
(i) A nail: Not a polyhedron as it has a curved surface. This is not a prism.
(ii) Unsharpened Pencil: It is a prism.
(iii) A table Weight: It is not a prism.
(iv) A Box: It is a prism.
Question 4. (i) How are prisms and cylinders alike?
(ii) How are pyramids and cones alike?
Solution:
(i) If the number of sides in a very prism is raised to sure extent, then the prism can take the form of cylinder.
(ii) A cone are often a circular pyramid, a pyramid with circular base.
Question 5. Is a square prism same as a cube? Explain.
Solution:
Yes, a sq. prism also can be a cube. A sq. prism has a square as its base. However, its height isn’t essentially same because the aspect of the sq.. Thus, a sq. prism may also be a cuboid.
6. Verify Euler’s formula for these solids.
Solution:
(i) Number of faces, F = 7
Number of edges, E = 15
Number of vertices, V = 10
As per formula, F + V – E = 2
Substitute the values, we have a F + V – E = 7 + 10 – 15
= 2
Hence, Euler’s formula is verified.
(ii) Here, F = 9, V = 9 and E = 16
Using formula, F+ V – E = 2
F + V – E = 9 + 9 – 16 = 2
Hence, Euler’s formula is verified.
Question 7. Using Euler’s formula, find the unknown:
| Faces | ? | 5 | 20 |
| Vertices | 6 | ? | 12 |
| Edges | 12 | 9 | ? |
Solution:
Euler’s formula: F + V – E = 2
Where, F = Faces, V = Vertices and E = Edges
(i) F + 6 – 12 = 2
F = 2 + 6
⇒ F = 8
(ii) 5 + V – 9 = 2
V – 4 = 2
⇒ V = 6
(iii) 20 + 12 – E = 2
32 – E = 2
⇒ E = 30
Question 8. Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Solution: Given data
F = 10
E = 20
V = 15
Every polyhedron satisfies Euler’s formula, that is declared as, F + V – E = 2
For the given polygon,
F + V – E = 10 + 15 – 20 = 25 – 20 = 5, which is not equal to 2
Therefore, A polyhedron isn’t attainable as Euler’s formula isn’t satisfied.
Frequently Asked Questions on NCERT Solutions for Class 8 Maths Chapter 10
Here we are List out the frequently asking topics of class 8 maths Chapter 10 Visualizing Solid Shapes of NCERT Solutions in the final board exam
What is a ‘Cuboid’?
Cuboid is a 3D shape that has 6 faces, eight vertices and twelve edges. Each of its faces are a rectangle.
What are the uses of Prism ?
- Telescopes
- Periscopes
- Microscopes
- Experimental usage
What is a ‘Hollow solid’?
Hollow solid is that having an cavity inside or empty space.
Is NCERT Solutions for Class 8 Maths Chapter 10 important for exam point of view?
Yes, all the chapters which are present in NCERT Class 8 Maths are important for board exams as well as for higher marks or grade. Students should practice all the questions and examples present in NCERT Solutions for Class 8 Maths Chapter 10 to procure high marks.
Why should You Use NCERT Solutions for Class 8 Maths Chapter 10 from Knowledge glow?
Knowledge glow provides the accurate answers for the questions which are present in the Class 8 Maths Chapter 10. These solutions can be viewed online. The solutions of this chapter are explained by the experts very clearly with diagrams wherever necessary.
