Concise Mathematics Class 6 ICSE Solutions for Chapter 31 Recognition of Solids

The concise Mathematics solutions for Chapter 31 Recognition of Solids are available on the Vedantu website. Vedantu provides a free PDF that contains important questions, an updated syllabus, and mock tests. Students can download the materials to prepare for the examination. They can download by pressing the link given here. The Chapter 31 Recognition of Solids PDF is available with the solutions. 

The solutions are given in a step-by-step manner for students to understand. And these answers are solved by our subject experts. It is ensured that answers follow the ICSE board guidelines. The solved answers in the PDF are precise and are to the point without having too many unnecessary steps in them. For Mathematics, it is important for them to concentrate more on the steps rather than the final answers. Students can also download the important questions that are posted on the website. These important questions are closest to the final exam question paper. 

Clarifying Your Doubts

After studying the important questions, if the students face any difficulties in the concept like having doubts or being unable to understand the concept, they can register online for the doubt clarifying session. There is also an option for one-on-one doubt clarifying sessions. It is appreciable to come forward and get benefits from the subject experts who have extensive teaching experience. This service is also provided for free for the students. Students can get connected to the faculty and discuss their doubts and other topics related to the academic curriculum. We have made this option available on the Vedantu official website. This is because students cannot appear for the exams with doubts. So, students are welcome to make use of this opportunity. 

Tips to Prepare for Exams

It is also mandatory to take a look at the syllabus before starting your preparations for the examination. Because the syllabus will help you understand the weightage of the concept and it helps you categorise how you should spend time for the preparation. Certain topics will want you to give focus to it and also there are topics which you can prepare at the last moment. So only if you understand the syllabus and pattern, you would be able to categorise it.

About Recognition of Solids

Coming to the topic of this chapter, it is an easy chapter comparatively but this chapter involves a lot of formulae and theorems because it talks more about shapes and solids. Every shape involves area and perimeter. This chapter is a brief about all the shapes and solids. Learning this at grade 6 will help you strengthen yourself in the basics of Mathematics. It certainly requires a lot of preparation and practice. Practice using pen and paper, take up the mock tests available on the Vedantu website, and score well. All the best for your exams.

Solid Shapes

Geometry is one of the experimental sections of Mathematics that includes figures of different shapes and sizes having distinct properties. Generally, Geometry deals with two types of shapes- solid shapes and plane shapes. We have observed that the plane picture that is drawn on paper does not occupy any space whereas if we draw a real picture on a paper it occupies some space. Hence, such real shapes that occupy some space are known as solid shapes or three -dimensional shapes. 

What are Solid shapes in Geometry?

In Geometry, the three - dimensional objects having depth, width, and height are known as solid shapes. For example, a circle drawn on a  piece of paper is a two-dimensional figure whereas a ball in the shape of a sphere is a three-dimensional figure. Let us learn some of the solid shapes below.

Properties of Three-Dimensional or Solid Shapes

Some of the properties of three-dimensional or solid shapes are given below:

Faces - A face is a curve or flat surface on the three-dimensional shapes.

Edge - An edge is a line segment formed between the faces.

Vertex - A vertex is a point where the two edges of three-dimensional shapes meet each other.

Types of Solid Shapes

1. Cube

A cube is a three-dimensional or solid shape having 6 square faces. The following are the properties of the cube.

• All edges of cube are equal

• 8 Vertices

• 12 Edges

• 6 Faces

2. Cuboid

A cuboid is a solid shape formed by two-dimensional rectangular faces also known as rectangular prisms. Some of the properties of Cuboid are:

• 8 Vertices

• 12 Edges

• 6 Faces

• The measurement of all the angles of a cuboid are 90⁰,

• Opposite faces and edges of a cuboid are equal.

3. Prism

A prism is a three-dimensional shape that includes two equal ends, flat faces or surfaces, and have similar cross-sections across its length. The prism is also known as a triangular prism as  the cross-section of a prism looks like a triangle. The prism does not have any curve. The following are the properties of prisms.

• 9 Edges

• 6 Vertices

• 5 Faces ( 2 triangles and 3 rectangles)

4. Cone

A cone is a three-dimensional or solid object which has a circular base and has a single vertex. The cone is a geometric figure that minimizes smoothly from the circular flat base to the top point known as apex. A cone has

• 1 Vertex

• 1 Edge

• 1 Flat face- circle

• 1 Curved face

5. Cylinder

A cylinder is a three-dimensional geometrical figure that has two parallel bases joined by  the curved surfaces. The cylinder has

• 3 Faces

• 2 Edges

• 0 Vertices

What is the Net of Solid Shapes?

A two-dimensional geometric figure that can be folded to form a three-dimensional solid shape is referred to as a geometry net. When the surface of the three-dimensional figure is arranged in a flat position showing each face of the figure, the pattern obtained is known as the net of the solid shape. Solid shapes may be different. In other words, the net is an unfolded form of a three-dimensional figure.

Conclusion

The Concise Mathematics Solutions for Class 6 Chapter 31 Recognition of Solids provides complete solutions for the topic in an easy-to-understand and step-by-step manner. Students will have full guidance from subject experts to solve any doubts and they will be able to excel in their examinations.