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Visualising Solid Shapes Class 7 Notes CBSE Maths Chapter 15 (Free PDF Download)

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Revision Notes for CBSE Class 7 Maths Chapter 15 Visualising Solid Shapes - Free PDF Download

Visualising Solid Shapes  Chapter 15 of CBSE Maths for Class 7: These free PDF notes are like treasure maps, guiding young minds to explore the enchanting world of three-dimensional objects. From cubes to cylinders, this chapter unfolds the secrets of visualizing and understanding solid shapes. The notes serve as friendly companions, simplifying complex concepts and offering a gateway to a deeper comprehension of spatial geometry. Dive into the realm of "Visualising Solid Shapes," where learning becomes an exciting adventure, and understanding the geometry of our three-dimensional world becomes as simple as unlocking a PDF.


Download CBSE Class 7 Maths Revision Notes 2024-25 PDF

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Access Class 7 Mathematics Chapter 15 – Visualizing Solid Shapes Notes in 30 Minutes

Plane Figures and Solid Shapes:

  • Plane figures are flat or $2$-Dimension figures, they have no thickness.  

  • For example: Squares, rectangles, circles, triangles etc. 

  • Solid Shapes are $3$-Dimension shapes, and they occupy space and have volume.

  • For example: Cube, cuboid, sphere, cone, hemisphere etc.


Faces, Edges and Vertices of $3D$ Shapes:

  • A $3D$ shapes is not flat therefore it has $3$ dimensions and these are faces, edges, and vertices.

  • Faces: It is simply the face of a $3D$ shape or the flat surface of the $3D$ shape

  • For example: The number of faces of a cube is $6$.


Faces of Cube


  • Edges: They are the line segments which join one vertex to another vertex. 

  • For example – Edges in a cylinder are $2$ and are shown below.


Edge of Cube

                                              

  • Vertices: Points where two or more edges meet between faces are known vertices of any $3D$ shape or the corners of $3D$ shape. 

  • For example: The cube has $8$ vertices and is shown below


Vertex of Cube


Net for building $3D$ Shapes:

  • Net is used for making $3D$ shapes.

  • It is a basic skeleton outline in $2$-Dimensions i.e., it is a flat $3$-Dimensional shape which can be folded and joined together with the help of glue.

  • Nets for building some shapes are shown below


Net for building 3D shapes


Drawing Solids on a Flat Surface: 

  • There are two ways of drawing solids on a flat surface


  1. Oblique Sketches:

  • It is an easy way of representing the $3D$ objects in pictorial form. 

  • These sketches are intended to show the perspective of $3D$ object and are drawn on a sheet by freehand.

  • It does not talk about the measurement of $3D$ object

  • Oblique sketch of cube is shown below


Oblique sketch of Cube


  1. Isometric Sketches: 

  • It is also the pictorial representation of a $3D$ objects, but it also meets with measurements of the $3D$ object to be drawn.

  • It is drawn on isometric sheets.

  • Isometric sketch of cube is shown below and the dotted sheet on which the sketch is made is known as isometric sheet


Isometric sketch of cube


Viewing Different Sections of a Solid

  • There are many methods to view different sections of a solid.

  1. Slicing and Cutting: It gives the cross-sectional view of a solid. 

  2. Shadow Casting: It gives $2D$ view of an $3D$ object.

  3. Viewing Solid from Different Angle: The front-view, the side-view and the top-view are the most common ways to view a solid; it can provide a lot of information about the shape.

  • For example: The different view of a building is shown below

 

Viewing Solid from Different Angle


Chapter Summary - Visualising Solid Shapes

"Visualising Solid Shapes," Class 7 Maths, unveils the magic of three-dimensional wonders. From cubes to cones, this chapter invites students to explore and understand the secrets of solid shapes. Concepts like edges, vertices, and faces come to life as students embark on a journey to visualise and recognise these shapes in everyday objects. Through simple explanations and relatable examples, the chapter transforms abstract geometry into tangible knowledge. As students delve into the world of "Visualising Solid Shapes," they discover the beauty of spatial thinking, making learning a captivating adventure into the realm of cubes, spheres, and the geometry that surrounds us.


What are the Benefits of Referring to Vedantu’s Revision Notes for Class 7 Maths Chapter 15 - Visualising Solid Shapes?

Embark on a visual journey with Vedantu’s Revision Notes for Class 7 Maths Chapter 15 - Visualising Solid Shapes. These notes are your passport to unlocking the secrets of three-dimensional wonders, making complex geometry as easy as counting cubes. Let's explore the benefits these notes bring to your learning adventure!


1. Concept Summaries: Quickly grasp the secrets of visualising solid shapes, turning complex concepts into clear, tangible insights.


2. Simplified Understanding: Navigate through the complexities of spatial geometry effortlessly, transforming abstract shapes into relatable knowledge.


3. Last-Minute Mastery: Revision Notes are a handy resourcel for last-minute exam preparations, ensuring you're well-versed in visualising solid shapes and their properties.


4. Enhanced Memory Retention: Solidify your understanding of crucial information, reinforcing it for long-term memory.


5. Strategic Exam Preparation: Guiding you with key points and tips specific to visualising solid shapes, ensuring you're well-prepared for your exams.


6. Time-Efficient Learning: Save time by accessing consolidated information, allowing you to focus on mastering the intricacies of solid shapes efficiently.


7. Focused Prioritization: Recognize the importance of specific topics and questions related to visualising solid shapes, giving you a targeted approach to your studies.


8. Real-World Connections: Understand the practical applications of solid shapes with examples connecting the abstract concepts to the real world.


9. Confidence-Boosting Study Aid: Approach your exams with confidence, knowing Vedantu's notes serve as a reliable companion in your journey to mastering visualising solid shapes.


Conclusion

For an enhanced comprehension of this subject, NCERT - Class 7 Maths Chapter 15 - Visualising Solid Shapes, thoughtfully prepared by experienced educators at Vedantu, is your invaluable companion. These notes break down the complexities of Visualising Solid Shapes into easily digestible sections, helping you grasp new concepts, master formulas, and navigate through questions effortlessly and quickly at the last minute as well. By immersing yourself in these notes, you not only prepare for your studies more efficiently but also develop a profound understanding of the subject matter.

FAQs on Visualising Solid Shapes Class 7 Notes CBSE Maths Chapter 15 (Free PDF Download)

1. How to study Chapter 15 “Visualising Solid Shapes” of Class 7 Maths using Vedantu’s notes?

Vedantu's Revision Notes are an excellent tool to help you in your revision of chapters. After you are done understanding and solving the NCERT content, use Vedantu's notes for revision. These notes are carefully prepared in such a way that it helps the students get the most advantageous revision session. You can find clear and concise explanations, important formulas, theorems, and fundamental principles all in one place. This makes your revision process swift and productive.

These solutions are available on Vedantu's official website(vedantu.com) and mobile app free of cost.

2. Are Vedantu’s Revision Notes for Class 7 Maths Chapter 15 “Visualising Solid Shapes” trustworthy for revision?

 Vedantu’s Revision Notes for Chapter 15 “Visualising Solid Shapes” of Class 7 Maths are the most reliable notes you can find online because:

  • These are prepared by highly experienced CBSE teachers after a tireless process.

  • Vedantu’s experts make sure that all the important topics of the chapter are covered in these notes.

  • For a chapter like  “Visualising Solid Shapes”, the notes are explained with relevant examples and figures wherever necessary.

  • Notes are prepared keeping latest CBSE guidelines, marking scheme and syllabus.

3. What is the need to study Mathematics using Revision Notes?

Students may think that revision notes are beneficial for subjects like Science and Social Studies. However, revision notes can be extremely rewarding for Mathematics as well. Here is why you should utilize revision notes for Class 10 Maths:

  • They help you store all important explanations and mathematical concepts in one place.

  • They contain all necessary theorems and formulas in one place for later reference.

  • They help you jog your memory with a quick revision session right before exams.

4. What are the important topics of Class 7 Maths Chapter 15 “Visualising Solid Shapes?”

Here are the following important concepts of Chapter 15 "Visualising Solid Shapes"

  1. Introduction: plane figures and solid shapes

  2. Faces, edges, and vertices

  3. Nets for building 3-d shapes

  4. Drawing solids on a flat surface

  5. Oblique sketches

  6. Isometric sketches

  7. Visualising solid objects

  8. Viewing different sections of a solid

  9. Viewing an object is by cutting or slicing

  10. Shadow play

  11. Looking at solid shapes from certain angles to get different views

5. What are the differences between plane shapes and solid figures?

There are some basic differences in plane shapes and solid shapes

  • Plane Shapes: Two-dimensional shapes with width and length or circumference and no height or thickness. Examples are rectangle, square, circle, etc.

  • Solid Shapes: three-dimensional shapes that have length, breadth, and height. Examples are cube, cuboid, sphere, cylinder, etc.

For more information on these topics refer to Vedantu's Revision Notes for Class 7 Mathematics Chapter 15"Visualising Solid Shapes."