Class 8 RS Aggarwal Math Three Dimensional Figures Solutions - Free PDF Download

Three-dimensional figures, often known as 3D shapes/figures, are solids with three dimensions: length, width, and height. 2D shapes, on the other hand, have only two dimensions: length and width. Cone-shaped ice cream, cubical boxes, balls, and other three-dimensional items can be found in our daily lives. In Math, students will encounter a variety of 3D shape models.

Geometry is a branch of mathematics that discusses the varied shapes and sizes of distinct figures. There are majorly two forms of geometry known in math which are: flat and solid geometry. Plane geometry revolves around flat shapes that may be drawn on paper, such as lines, curves, and polygons. Solid geometry, on the other hand, majorly deals with three-dimensional objects like cylinders, cubes, and spheres. 

Three-dimensional shapes are those that can be measured in three directions. Solids are another name for these shapes. Three-dimensional shapes have three measurements: length, breadth, and height (or depth or thickness). Three-dimensional geometry includes these. Because they contain thickness, they differ from 2D shapes.

Surface Area and Volume in 3-D Shapes

The three-dimensional shapes are defined by two independent measures:

The overall area of the surface of a three-dimensional object is known as surface area. "SA" is the abbreviation for it. The area of the surface is measured in sq. units. The three different surface area classes are defined below. They are as follows:

• The CSA (Curved Surface Area) is the total area of all curved regions.

• The area of all curved sections and flat surfaces, excluding base portions, is known as the Lateral Surface Area (LSA).

• The total surface area (TSA) of a 3D object is the sum of all its surfaces, including the base.

The total space occupied by a three-dimensional shape or solid item is defined as volume. The volume is indicated by the letter "V." Cubic units are used to measure it.

RS Aggarwal Solutions for Class 8 Math Chapter 19 - Free PDF Download

We have provided step-by-step solutions for all exercise questions given in the pdf of Class 8 RS Aggarwal Chapter-19 Three-Dimensional Figures. All the Exercise questions with solutions in Chapter-19 Three-Dimensional Figures are given below:

• Exercise (Ex 19A) 19.1

• Exercise (Ex 19B) 19.2

Geometry is the root of Mathematics. It is all about the guidelines to set up a construction process, determining the materials, style, and structure of a figure. In our day-to-day life, geometry plays the role of the ship's captain as everything that appears in the world has a geometric shape and size. Geometry implements various formulas and theorems, and several tools like a protector, scale, measuring tape, and much more. 

It is extremely important in engineering, architecture, and science. It enables pupils to compute many characteristics of a form or figure, such as area, volume, and so on. Students, on the other hand, sometimes struggle to grasp the complexity of Geometry. This is a setback in their academic career and prevents them from achieving high exam scores. Students frequently struggle to solve problems involving 3D figures, and RS Aggarwal Class 8 Math Three Dimensional Figures comes to their aid. 

Concepts of surface area and volumes of 3D figures

Dimension

In Mathematics, the dimension can be quoted as measuring a region’s distance or size or an object in a specific direction. It is the measurement of the length, breadth, and height of an object in simple words. A figure's dimension is divided into three parts – One dimension, two dimensions, three dimensions.

One Dimensional Figure

A One-dimensional figure is formed when a line segment is constructed on a surface. Therefore, it only possesses length as a measurement property—an example of a one-dimensional figure-  a line.

Two Dimensional Figures

Two-dimensional figures contain two dimensions, i.e., length and width, and do not possess thickness or depth—examples of the two-dimensional figure – circle, square, rectangle, etc.

Three Dimensional Figures

The main focus is RS Aggarwal Class 8 Math Three Dimensional Figures, which deals with the types and properties of 3A shapes. A three-dimensional figure is a definite shape or figure that comprises one-dimensional three measurable quantities – length, breadth, and height. The main contrasting feature of three-dimensional shapes with one and two-dimensional figures is that 3D shapes possess thickness or depth. Three Dimensional Figures includes a wide variety of shapes like a prism, pyramids, and figures with curved surfaces.

• Prism - A prism can be highlighted as a three-dimensional object, a pair of parallel, congruent bases.  An Afteralysing the shape of its bases, a prism has been named an example of a prism – rectangular prism, triangular prism.

• Pyramid - A pyramid can be highlighted as a three-dimensional figure comprising a single base, any polygon. After analyzing its base’s shape, a pyramid has named an example of a prism – square pyramid, triangular pyramid.

• Cube - A cube has six square faces and is a solid or three-dimensional shape.

• Cuboid - A cuboid is also known as a rectangular prism since its faces are rectangular in shape. The angles are all 90 degrees.

• Cone - A cone is a three-dimensional object or solid with a single vertex and a circular base. A cone is a geometrical object that gradually reduces in size from its round flat base to its peak.

• Cylinder - A cylinder is a three-dimensional geometrical shape with two circular bases and a curved surface connecting them.

• Sphere - A sphere is a three-dimensional solid object that is perfectly round in shape, with each point on its surface being equidistant from the center. The radius of the sphere is the set distance from the sphere's center.

The student gets an insight into the shapes and figures from Three-dimensional Figures Class 8 Chapter 19 RS Aggarwal Solutions, which helps them develop an in-depth understanding of the topic.

RS Aggarwal Class 8 Math Three Dimensional Figures Preparation Tips

• Students must be aware of every definition and example of RS Aggarwal Class 8 Math Chapter 19.

• Students must ensure deep learning of the concepts and theorems to secure good marks in the examination.

• The student must get hold of useful study material to assist them in solving complex or diplomatic problems.

• Students must set a reasonable timetable that suits them to yield the maximum benefits of studying a topic.

Follow these tips and learn the concepts related to 3D figures, their surface areas, and volumes. Download the solutions for the exercises of this chapter and prepare for exams. Focus on how the expert teachers have solved the problems in a simpler language and learn how to attempt these problems in an exam.