NCERT Solutions for Class 8 Maths Visualising Solid Shapes Ex 10.3 

 

NCERT Solutions for Class 8 Maths Visualising Solid Shapes Ex 10.3 are created by askIITians Maths experts. In Exercise 10.3 of Class 8 Maths Chapter 10, you study what are vertices, edges and faces of three-dimensional shapes. The questions of this exercise are based on Euler’s formula which is important from the exam point of view. All students can download the pdf solutions for NCERT Class 8 Maths Chapter 10 Exercise 10.3 from the askIITians website for free. These solutions include clear explanations and stepwise answers so that you can understand the concepts of this exercise clearly. 

About NCERT Class 8 Maths Chapter 10 Visualising Solid Shapes Ex 10.3 

 

The main topics included in Exercise 10.3 of Class 8 Maths Chapter 10 are faces, edges, vertex, polyhedrons, convex polyhedrons, non-convex polyhedrons, a regular polyhedron, non-regular polyhedron, prism, pyramid, and Euler’s formula. You must understand all these concepts before you start solving Exercise 10.3. 

• Faces: Solid shapes are made up of plane figures called faces. All the flat surfaces of the three-dimensional shapes are the faces.
• Edges: The line segments which make the structure of the solid shapes are called edges. The two faces meet at the edges of the 3D shapes.
• Vertex: The corner of the solid shapes is called a vertex. The two edges meet at the vertex. The plural of the vertex is vertices.
• Polyhedron: A polyhedron is a solid figure with many plane polygonal faces, typically more than six. A polyhedron also has straight edges and sharp corners or vertices. 
• Non-polyhedron: Three-dimensional shapes with curved surfaces are known as non-polyhedrons. 
• Convex Polyhedron: If the line segment formed by joining any two vertices of the polyhedron lies inside the figure then it is said to be a convex polyhedron.
• Non-Convex Polyhedron: If any one or more one line segments formed by joining any two vertices of the polyhedron lie outside the figure then it is said to be a non-convex polyhedron.
• Regular Polyhedron: If all the faces of a polyhedron are regular polygons and its same number of faces meets at each vertex then it is called a regular polyhedron. 
• Non-regular Polyhedron: A polyhedron in which the vertices are not made by the same number of faces is a non-regular polyhedron. 
• Prism: A polyhedron whose base and top are congruent polygons and whose other faces, i.e., lateral faces are parallelograms is known as a prism. 
• Pyramid: A polyhedron whose base is a polygon (of any number of sides) and whose lateral faces are triangles with a common vertex. (If you join all the corners of a polygon to a point, not in its plane, you get a model for a pyramid).
• Euler’s Formula: Euler’s formula shows the relationship between edges, faces and vertices of a polyhedron. Every polyhedron will satisfy the criterion F + V – E = 2, where F is the number of faces of the polyhedron, V is the vertices of the polyhedron and E is the number of edges of the polyhedron.

Download Free NCERT Class 8 Maths Solutions for Chapter 10 Visualising Solid Shapes Exercise 10.3 

 

When it comes to exam preparation, our NCERT Class 8 Maths Solutions can be your best guide. These solutions are created by askIITians Maths experts who have more than 15 years of teaching experience. Here are some distinguishing features of our NCERT Solutions for Class 8 Maths Visualising Solid Shapes Exercise 10.3:

• Every question of the exercise is solved in a stepwise manner for your clear understanding. 
• The NCERT Solutions can be used to resolve your doubts regarding the exercise whenever you get stuck in solving any question. 
• You can study these solutions at your own pace and convenience. 
• The NCERT Solutions are available for free for every student. Just download them in pdf form and start practising. 

 

Types of questions included in Exercise 10.3 of NCERT Class 8 Maths Chapter 10:

 

Ex 10.3 Q1: In the first question, you have to state whether a polyhedron can have 3 triangles, 4 triangles, or a square and four triangles. You can draw a rough diagram to understand whether polyhedrons with these shapes exist or not. If yes, you can draw a neat diagram and explain your answer. 

 

Ex 10.3 Q2: In this question, you have to state whether it is possible to have a polyhedron with any given number of faces. Many students get confused with the language of this question. This is why our NCERT Solutions include proper explanations and reasoning for this question. 

 

Ex 10.3 Q3: In this question, you are given four different figures. You have to state which of them is a prism. 

 

Ex 10.3 Q4: In this question, you have to state how prisms and cylinders are alike and how pyramids and cones are alike. To answer this question properly, you must have complete knowledge about polyhedrons, pyramids and prisms. 

 

Ex 10.3 Q5: In this question, you have to explain whether a square prism is the same as a cube. If you get confused in explaining the answer, read our NCERT Solutions for Exercise 10.3. 

 

Ex 10.3 Q6: In this question, you are given two different solids. You have to verify Euler’s formula for them. 

 

Ex 10.3 Q7: In this question, you are given a table with faces, vertices and edges. You have to use Euler’s formula and find the missing values. 

 

Ex 10.3 Q8: In this question, you have to state whether a polyhedron can have 10 faces, 20 edges and 15 vertices. 

 

Find stepwise solutions for all the 8 NCERT questions of this exercise in our NCERT Solutions pdf. Download them for free from our website. 

NCERT Class 8 Maths Chapter 10 Visualising Solid Shapes Ex 10.3 FAQs

 

1. How many questions are there in Exercise 10.3 of Class 8 Maths NCERT Chapter 10?

 

There are 8 unsolved questions in this exercise.

 

2. How to study Exercise 10.3 of Class 8 Maths Chapter 10? 

 

You can refer to askIITians revision notes for Class 8 Maths Chapter 10 along with mind maps, flashcards, NCERT Solutions, and practice worksheets. All these study resources will help in solidifying the concepts of polyhedrons and Euler’s formula. 

 

3. Where can I find NCERT Solutions for all the exercises of NCERT Class 8 Maths Chapter 10 Visualising Solid Shapes? 

 

You can find exercise-wise NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes from the askIITians website.