Revision Notes for CBSE Class 7 Maths Chapter 15 - Free PDF Download
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 $6$.
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.
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
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
Drawing Solids on a Flat Surface:
There are two ways of drawing solids on a flat surface
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
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
Viewing Different Sections of a Solid
There are many methods to view different sections of a solid.
Slicing and Cutting: It gives the cross-sectional view of a solid.
Shadow Casting: It gives $2D$ view of an $3D$ object.
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
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.
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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"
Introduction: plane figures and solid shapes
Faces, edges, and vertices
Nets for building 3-d shapes
Drawing solids on a flat surface
Oblique sketches
Isometric sketches
Visualising solid objects
Viewing different sections of a solid
Viewing an object is by cutting or slicing
Shadow play
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."