# CBSE Class 8 Maths Revision Notes Chapter 10

## CBSE Class 8 Mathematics Revision Notes Chapter 10 – Visualising Solid Shapes

### Download Revision Notes Class 8 Mathematics Chapter 10 – Free PDF

In these Class 8 Mathematics Chapter 10 Notes, students will learn about visualising solid shapes. In addition, in these Class 8 Chapter 10 Mathematics Notes, students will get to know the significant details of the chapter that are important for their final examination. Along with Chapter 10 Mathematics Class 8 Notes, Extramarks will provide students with essential questions for quick and instant preparation. Moreover, Class 8 Mathematics Notes Chapter 10 will be a student’s last-minute revision guide, providing all the necessary information. These notes are based on the CBSE Syllabus.

### There are Three Different Kinds of Shapes

In this part of Class 8 Mathematics Chapter 10 Notes, students will learn about different shapes.

• One-dimensional shapes: These are shapes with only length as a dimension. Think about the following illustration—a line.
• Two-dimensional shapes:  Two-dimensional shapes have length and breadth as their two dimensions. Shapes include things like rectangles, triangles, and polygons. The term “2D figures” is often used to describe two-dimensional objects.

• Three-dimensional shapes: Three-dimensional shapes are solid objects and shapes that have length, breadth, height, and depth. Examples of geometric shapes include cubes, cylinders, cones, cuboids, spheres, and others.

• Faces: A flat or curved surface on a three-dimensional figure is known as a face.
• Edges: Two faces of a solid are connected by a line segment known as an edge.

• Polyhedron: Polyhedron refers to a three-dimensional figure with polygonal faces.

• Prism: It is a polyhedron with parallelograms on the lateral faces and congruent polygons on the bottom and top faces (referred to as bases). The shape is referred to as a right prism when the side faces are rectangles.

• Pyramid: It is a polyhedron with a polygon base and triangle lateral sides.

• A place on a graph on which three or more edges converge is known as a vertex.
• Base: The face on which a polyhedron is named is its base.
• Euler’s formula for any polyhedron is F+V−E=2, where F is the number of faces, V is the number of vertices, and E is the number of edges.
• Object recognition in 2D and 3D.
• Views of a 3D object may differ based on their position.
• Mapping means where one object or place is in relation to other objects or places.

• Symbols are used to denote various objects and locations on a map.
• There is no reference or viewpoint on a map.
• The scale of a map is predetermined for each map.
• Convex means any two points on a polyhedron’s surface that can be connected by a line segment that is entirely inside or on the polyhedron, such as the cube, cuboid, tetrahedron, pyramid, and prism.

### A Quick Overview Of Class 8 Mathematics Chapter 10 Visualising Solid Shapes

Students will learn about visualising solid shapes, views of three-dimensional shapes, mapping our surroundings, and the faces, edges, and vertices of three-dimensional shapes in these Class 8 Mathematics Chapter 10 Notes. Let us now discuss the topics and subtopics covered in this chapter.

### Ex.10.1 – Introduction to the Chapter

You must have studied different solid and plane shapes in your previous classes.   Because they only have two measurements, length, and breadth, plane shapes are also referred to as two-dimensional shapes. In contrast, solid shapes are referred to as three-dimensional shapes because they have three dimensions—length, breadth, and height. The solid shapes also take up some room. 2-D and 3-D figures are also referred to as two-dimensional and three-dimensional shapes, respectively.

### Ex.10.2 – View Of 3D-Shapes

You will gain knowledge about the views of various three-dimensional shapes, such as cones, cylinders, cubes, spheres, etc., in this section. You will learn that three-dimensional objects can be drawn from a perspective as they look different from different positions. You will discover that 3-D shapes have a front, top, and side view. Some real-life examples are given to help you understand the concept clearly.

### Ex. 10.3 –  Mapping Around Us

You have been using maps in your previous classes. You must have been asked to mark rivers, mountains, states, countries, cities, etc., on a map by your geography teachers. Your history teachers must have asked you to find a specific location where a certain event had taken place in the past.

You will learn how to read maps in this section. What conclusions and concepts can you draw from studying maps? What information do they provide, and what information do they not provide?

### Ex.10.3 – Faces, Edges, And Vertices

In this part, you will learn about the faces, edges, and vertices of three-dimensional shapes. You will also understand the total number of edges, faces, and vertices different 3-D shapes include.

To successfully answer questions based on various solid and plane shapes, students should have a thorough understanding of these concepts.

Download our most recent Class 8 Mathematics Chapter 10 Revision Notes Free PDF right away to get a thorough explanation of Chapter 10 Visualising Solid Shapes. Extramarks subject specialists will clarify any questions about various solid and plane shapes and assist you in understanding the fundamental concepts of the chapter. These notes contain all the topics in the NCERT Books concisely. Download the Class 8 Mathematics Chapter 10 Notes on this page to improve your exam results. Once you go through these notes, you can easily solve CBSE Sample Papers to test your understanding. These notes also contain CBSE Extra Questions that will help students test their understanding.

### Key Benefits Of Mathematics Class 8 Visualising Solid Shapes Notes

Visualising Solid Shapes Class 8 Notes by Extramarks include clear and student-friendly writing that will make it easier for you to understand the chapter’s concepts. Because of how well these revision notes work, you will truly understand every subject. You will be able to answer all the numerical questions from the chapter that were asked on the exam because you will accurately remember all the concepts. You could revise the key concepts and formulas from the chapter quickly before the exams using these Visualising Solid Shapes Notes.

Some of the main benefits of the Mathematics Class 8 Visualising Solid Shapes notes are discussed below.

• The students can quickly review and practice the chapter’s concepts using the Class 8 Chapter 8 Notes.
• Visualising Solid Shapes notes include all the crucial formulas and chapter topics, which will help you save a lot of time.
• These notes were written after thorough research by subject matter experts with many years of teaching experience.
• The notes for Mathematics Class 8: Visualising Solid Shapes provide several key suggestions for correctly resolving the chapter’s challenging numerical problems.
• Free Visualising Solid Shapes Class 8 Notes in PDF are available for students to download and can be accessed online and offline at their convenience.

These CBSE Revision Notes are made according to the CBSE Syllabus. The questions in these notes are based on CBSE Past Years’ Question Papers. These notes contain Important Questions and Formulas to help students achieve better marks in their examinations.

### 1. Find the number of vertices of hexagonal prisms.

Number of vertices = 2 × Number of sides = 2 × 6 = 12

### 2. What is Euler’s formula for polyhedron?

According to Euler’s polyhedron formula, any solid shape will always equal 2 when the number of vertices (V) is subtracted from the number of edges (E) and added to the number of faces (F).

So, V – E + F = 2

### 3. What will be the minimum number of planes required to form a solid?

At least four planes are required to form a solid. The solid formed using only four planes is called a tetrahedron or a triangular pyramid.

### 4. What do you mean by polyhedron?

It refers to a three-dimensional figure with polygonal faces.

### 5. What do you mean by one-dimensional figure?

A one-dimensional figure means shapes with only length as a dimension.