RS Aggarwal Class 8 Maths Chapter 19 Ex 19.1 Solutions 2022 | Download Free PDF RS Aggarwal Class 8 Maths Chapter 19 Ex 19.1 Solutions: This exercise enables the students to identify different 3D figures & also study the number of faces, edges, & vertices that the figure has. It includes 3D figures such as a cube, cuboid, and triangular prism. The solution will make students understand the difference between different 3D figures, about their features including the number of faces, edges, and vertices.

RS Aggarwal Class 8 Maths Chapter 19 Ex 19.1 Solutions are designed in an elaborated manner that helps the students to easily understand the concepts of 3D figures. These solutions are presented in an easy-to-understand language so that the students can learn the topics without any difficulty.

RS Aggarwal Class 8 Maths Chapter 19 Ex 19.1 Solutions

Important Definition for RS Aggarwal Class 8 Maths Chapter 19 Ex 19.1 Solutions

• 3D figures

The figures which can be measured in 3 directions are known as 3D figures. These figures are also known as solids. Length, width, and height are the three measurements of the 3D figures. They are different from 2D shapes as they have thickness.

• Surface Area and Volume of 3D figures

Surface Area is termed as the total area of the surface of the three-dimensional object.  It is denoted as SA. The surface area is calculated in terms of square units.

Volume is termed as the total space occupied by the 3-dimensional shape or solid object. The volume is denoted as V. It is measured in terms of cubic units.

• Faces, Edges, and Vertices of 3D figures

3D figures have various attributes such as vertices, faces, and edges. The flat surfaces of the 3D figures are known as the faces. The line segment where 2faces meet is known as an edge. A vertex is a point where 3 edges connect.

• Cube

It is a solid or 3D figure which has six square faces.

• Properties of cube

All edges are equal

It has eight vertices

It has twelve edges

It has six faces

• Surface area and the volume of the cube

The Surface Area of a Cube = 6a2 square units

The volume of a Cube = a3  cubic units

• Cuboid

The faces of the cuboid are a rectangle in shape. All the angles are measures at 90 degrees.

• Properties of Cuboid

It has eight vertices

It has twelve edges

It has six faces

• Surface area and the volume of the cuboid

The Surface Area of a Cuboid = 2(lb + bh + lh) Square units

The volume of a Cuboid = lbh Cubic units

• Triangular Prism

A prism is a 3D figure which comprises two equal ends, flat surfaces or faces, and also has identical cross-section across its length. It does not have any curve.

• Properties of Triangular Prism

It has six vertices

It has nine edges

It has five faces i.e two triangles and three rectangles

• Surface area and the volume of the Triangular Prism

The Surface Area of a Prism = 2(Base Area) + (Base perimeter × length) square units

The volume of a Prism = Base Area × Height Cubic units

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