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RD Sharma Class 8 Maths Solutions Chapter 19 - Visualising Shapes

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Last updated date: 28th May 2024
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RD Sharma Solutions for Class 8 Maths - Visualising Shapes - Free PDF Download

Free PDF of RD Sharma Class 8 Maths Chapter 19 Visualisation of 3-D shapes from their plane figures is available on the website of Vedantu. In this chapter, you will learn about the representation of three-dimensional shapes on the plane of the paper. Also, from this one can draw different sides of a solid shape. In visualising shapes students will learn how to identify parts of 3D shapes, geometrical solids, scale drawing and many more concepts. For a better understanding of the concepts, students can solve the exercise wise problems using the solutions, which are formulated by our expert faculty team at Vedantu. Students aspiring to secure high marks in their examination are advised to practice the solutions on a regular basis and also refer to extra questions provided. 

You can download a free PDF of Class 8 RD Sharma Textbook Solutions Chapter 19 - Visualising Shapes from the website of Vedantu and also from its mobile application.

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Class 8 RD Sharma Textbook Solutions Chapter 19 - Visualising Shapes

Introduction to RD Sharma Solutions Class 8 Maths Visualising Shapes

We will discuss some polyhedrons (a solid shape bounded by polygons is termed as polyhedron) in this chapter. We will also study prisms and pyramids and their types. Solutions are designed from the exam point of view, by our expert faculty team. The solutions contain explanations in simple language, which is very helpful for students to understand the problems. RD Sharma Solutions Class 8 Maths Visual Shapes, will help students to solve problems based on different solid shapes. These materials will help students to revise all the topics before appearing for the examination.

 

Following are the Concepts discussed in the Chapter Visualising Shapes

  • Polyhedrons

  • Prisms and pyramids.

  • Platonic solids.

  • Visualisation of 3-D shapes through nets

 

Exercises in RD Sharma Solutions for Class 8 Maths Chapter 19 Visualising Shapes

 

Questions that are asked from the Chapter 19 Visualising Shapes

1. How many planes are required to form a solid?

Ans: The minimum number of planes required to form a solid is 4. The solid formed using 4 planes is called a tetrahedron or a triangular pyramid.

2. What are some 3d shapes examples?

Ans: 3d shapes examples around us include cube, sphere, cone, rectangular prism and cylinder. Rubik’s cube as well as a die are also examples of 3d shapes. Similarly, we can observe a rectangular prism in a box and a book. 

3. Why should students refer to RD Sharma Class 8 Maths Chapter 19 Solutions provided by Vedantu?

Ans: RD Sharma solutions are specially designed by Mathematics experts. Solutions provided here offer a detailed explanation along with a step by step method which helps students to understand the concept easily.

 

R.D. Sharma Maths Solution for Class 8 Chapter 19 Visualising Shapes

As a student of Class 8, you must understand that a line is a one-dimensional figure, figures having length and breadth are known as two-dimensional figures, and a polygon, a circle, etc are two-dimensional figures. Three-dimensional objects and forms have three dimensions: length, width, and height. 2-D figures refer to two-dimensional figures in general. Similarly, three-dimensional shapes are known as 3-D shapes. 

Therefore, you must understand the technique of visualizing 3-D shapes from their two-dimensional figures drawn on the plane of the paper. In this chapter, you will learn about the visualization of 3-D shapes from their plane figures. We'll also learn how to express three-dimensional forms on the plane of a piece of paper.

Here at Vedantu you can go through the in-depth solution of the R.D. Sharma Chapter 19, which is about visualising shapes. Other than that, you can also revise the chapter before your exams to perform even better as Vedantu provides the revision notes as well. All these study materials and resources are free of cost and can be accessed by anybody with exposure to the internet.

 

Different Topics that are discussed in the Chapter 19 Visualising Shapes

Following are the different topics that are discussed in detail in the chapter Visualising shapes.

1. Regular Polyhedron

If all of the faces of a polyhedron are regular polygons and the same number of faces meet at each vertex, the polyhedron is said to be regular. A regular polyhedron's faces are congruent regular polygons, and their vertices are produced by the same number of faces. While a cube is a regular polyhedron, a cuboid is not since its faces are not congruent rectangles.

2. Convex Polyhedron

A convex polyhedron is one in which the line segment connecting any two points on the polyhedron's surface is entirely contained or on the polyhedron. It's known as a concave polyhedron otherwise. A cube, a cuboid, a tetrahedron, a pyramid, a prism, etc are convex polyhedrons.

3. Platonic solids

A platonic solid is a polyhedron. The fact that there are exactly five platonic solids is fascinating. Note that in any polyhedron at least three polygons (called faces) must meet at a vertex to form a solid angle. Furthermore, the total of all plane angles that make up the solid angle at a vertex must be less than 360°. Let's start with the simplest regular polygon that forms a polyhedron's face. An equilateral triangle is a regular polygon of this kind. The tetrahedron is a polyhedron or platonic solid whose faces are congruent equilateral triangles. 

Let us now move on to the coming regular polygon, that is, a forecourt. Six places form a cell. A cell is the only platonic solid whose every face is a forecourt. A cell is also known as a hexahedron as it has six places as its faces. 

The platonic solids tetrahedron and cell have three faces (regular polygons) that meet at a point to produce a vertex. Now we'll look at a new platonic solid where four regular polygons intersect at a spot to produce a vertex. The octahedron is a platonic solid with four equilateral triangles that meet at each vertex.

An icosahedron is a platonic solid in which five equilateral triangles intersect at a point to form a vertex.

 

Conclusion

The solutions have been developed by experts in such a way that it will make it easier for students to understand the concept and learn the importance of the chapter in detail. RD Sharma Class 8 Maths Chapter 19 solutions consist of solved exercises and explanations of all the questions that will help students to develop better understanding skills and clear all their doubts regarding this chapter.  RD Sharma Solutions for Chapter 19 will help students to prepare well for the board exams. By referring to it, students can get good marks in the exam.

FAQs on RD Sharma Class 8 Maths Solutions Chapter 19 - Visualising Shapes

1. What are some of the important points to remember in Chapter 19 of Class 8 Maths?

There are a few points that you must remember as a Mathematics student of Class 8. The following points will help you solve the problems of the chapter easily and will also help to perform great in exams if you remember those points deeply. They are listed down below.

  • A polyhedron is a solid object enclosed by polygons.

  • The faces of a polyhedron are the polygons that make it up.

  • The line segments that connect the crossing faces of a polyhedron are known as its edges.

  • The vertices of a polyhedron are the points where the edges intersect.

2. What is the difference between a right pyramid and a regular pyramid?

If the perpendicular dropped from the base's vertex intersects the base at its center point, i.e. the center of the inscribed or circumscribed circle, the pyramid is said to be the right pyramid. To put it another way, the pyramid's vertex is perpendicular to the base drawn across its center. The pyramid is known as an oblique prism elsewhere.


On the other hand, if the base of a pyramid is a regular figure, all sides of the base are equal, it is considered to be a regular pyramid.

3. Why should one refer to Vedantu?

All the reading materials at Vedantu are curated by subject-matter experts who have years of experience in the respective field. The content is well-researched and compiled into an easily readable format for the benefit of students. Students can refer to these resources with ease and learn things at their own pace. Most importantly all the content on Vedantu is provided for free and it can be easily downloaded into PDF from both the website and mobile application of Vedantu.

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Accessing material from Vedantu is extremely easy and student-friendly. Students have to simply visit the website of  Vedantu and create an account. Once you have created the account you can simply explore the subjects and chapters that you are looking for. Click on the download button available on the website on Vedantu to download the reading material in PDF format. You can also access all the resources by downloading the Vedantu app from the play store.

5. How many planes are required to form a solid?

The minimum number of planes required to form a solid is 4. The solid formed using 4 planes is called a tetrahedron or a triangular pyramid.

6. What are some 3d shapes examples?

3d shapes examples around us include cube, sphere, cone, rectangular prism, and cylinder. Rubik’s cube, as well as a die, are also examples of 3d shapes. Similarly, we can observe a rectangular prism in a box and a book.

7. Why students should refer to RD Sharma Class 8 Maths Chapter 19 Solutions provided by Vedantu?

RD Sharma solutions are specially designed by Mathematics experts. Solutions provided here offer a detailed explanation along with step by step method which helps students to understand the concept easily.