RD Sharma Class 8 Maths 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

• Exercise 19.1

• Exercise 19.2

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.