NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes (EX 15.4) Exercise 15.4

The subject of Mathematics has been a part of the academic careers of students since the very beginning of their studies. In Class 7 the subject includes several interesting concepts of Arithmetic and Geometry that are new to students and therefore, can cause confusion. Thus, the Extramarks website provides students with the Class 7 Maths Chapter 15 Exercise 15.4. It is an e-learning website that provides students with the resources they need to succeed. It provides them with various important questions, revision notes, extra questions, sample papers, and much more for all the subjects and academic sessions, along with the NCERT Solutions Class 7 Maths Chapter 15 Exercise 15.4. By using Extramarks, students can always improve their academic performance. Through it, students have always been able to learn, practice, and excel in their academic careers. A variety of learning modules and credible study materials, such as the NCERT Solutions Class 7 Maths Chapter 15 Exercise 15.4 are available on the learning website to enable students to succeed in any in-school or competitive examination.

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NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes (EX 15.4) Exercise 15.4

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Access NCERT Solution for Class 7 Maths Chapter 15 – Visualising Solid Shapes

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Exercise 15.4

Comprehensive learning can enable students to acquire expertise in the subject for the senior classes. By practising these solutions, they can also maintain a steady pace so that they can complete their examinations on time. Additionally, these solutions help students  gain a better understanding of the subject. The first step in preparation for the Class 7 final examinations is to go through the NCERT textbook of the subject. However, these books do not include answers to the questions they contain. Therefore, Extramarks provides students with the NCERT solutions of all the subjects and classes along with the NCERT Solutions Class 7 Maths Chapter 15 Exercise 15.4, so that they can have access to complete and comprehensive study material.

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Exercise 15.4

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A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow.(You may try to experiment first and then answer these questions).


The shapes of the shadows of these figures will be as follows: (i) A ball MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@9AEC@

The shape of the shadow of a ball will be a circle. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGubavcqqGObaAcqqGLbqzcqqGGaaicqqGZbWCcqqGObaAcqqGHbqycqqGWbaCcqqGLbqzcqqGGaaicqqGVbWBcqqGMbGzcqqGGaaicqqG0baDcqqGObaAcqqGLbqzcqqGGaaicqqGZbWCcqqGObaAcqqGHbqycqqGKbazcqqGVbWBcqqG3bWDcqqGGaaicqqGVbWBcqqGMbGzcqqGGaaicqqGHbqycqqGGaaicqqGIbGycqqGHbqycqqGSbaBcqqGSbaBcqqGGaaicqqG3bWDcqqGPbqAcqqGSbaBcqqGSbaBcqqGGaaicqqGIbGycqqGLbqzcqqGGaaicqqGHbqycqqGGaaicqqGJbWycqqGPbqAcqqGYbGCcqqGJbWycqqGSbaBcqqGLbqzcqqGUaGlaaa@8010@ (ii) A cylindrical pipe MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGPbqAcqqGPbqAcqqGPaqkcqqGGaaicqqGbbqqcqqGGaaicqqGJbWycqqG5bqEcqqGSbaBcqqGPbqAcqqGUbGBcqqGKbazcqqGYbGCcqqGPbqAcqqGJbWycqqGHbqycqqGSbaBcqqGGaaicqqGWbaCcqqGPbqAcqqGWbaCcqqGLbqzaaa@5E4E@

The shape of the shadow of a cylindrical pipe will be a rectangle .

MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@9401@ (iii) A book

athType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGPbqAcqqGPbqAcqqGPbqAcqqGPaqkcqqGGaaicqqGbbqqcqqGGaaicqqGIbGycqqGVbWBcqqGVbWBcqqGRbWAaaa@4FF1@ The shape of the shadow of a book will be a rectangle.MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGubavcqqGObaAcqqGLbqzcqqGGaaicqqGZbWCcqqGObaAcqqGHbqycqqGWbaCcqqGLbqzcqqGGaaicqqGVbWBcqqGMbGzcqqGGaaicqqG0baDcqqGObaAcqqGLbqzcqqGGaaicqqGZbWCcqqGObaAcqqGHbqycqqGKbazcqqGVbWBcqqG3bWDcqqGGaaicqqGVbWBcqqGMbGzcqqGGaaicqqGHbqycqqGGaaicqqGIbGycqqGVbWBcqqGVbWBcqqGRbWAcqqGGaaicqqG3bWDcqqGPbqAcqqGSbaBcqqGSbaBcqqGGaaicqqGIbGycqqGLbqzcqqGGaaicqqGHbqycqqGGaaicqqGYbGCcqqGLbqzcqqGJbWycqqG0baDcqqGHbqycqqGUbGBcqqGNbWzcqqGSbaBcqqGLbqzcqqGUaGlaaa@844B@


Here are the shadows of some 3-D objects, when seen under the lamp of an over head projector. Identify the solids that match each shadow. (There may be multiple answers for these!).


The given shadows can be obtained in case of the following objects. (i) Compact disk (Sphere) (ii) A dice (Cube) (iii) Triangular pyramid (Cone) (iv) Note Book (Cuboid) MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakqaabeqaaiabbsfaujabbIgaOjabbwgaLjabbccaGiabbEgaNjabbMgaPjabbAha2jabbwgaLjabb6gaUjabbccaGiabbohaZjabbIgaOjabbggaHjabbsgaKjabb+gaVjabbEha3jabbohaZjabbccaGiabbogaJjabbggaHjabb6gaUjabbccaGiabbkgaIjabbwgaLjabbccaGiabb+gaVjabbkgaIjabbsha0jabbggaHjabbMgaPjabb6gaUjabbwgaLjabbsgaKjabbccaGiabbMgaPjabb6gaUjabbccaGiabbogaJjabbggaHjabbohaZjabbwgaLjabbccaGiabb+gaVjabbAgaMjabbccaGiabbsha0jabbIgaOjabbwgaLjabbccaGiabbAgaMjabb+gaVjabbYgaSjabbYgaSjabb+gaVjabbEha3jabbMgaPjabb6gaUjabbEgaNbqaaiabb+gaVjabbkgaIjabbQgaQjabbwgaLjabbogaJjabbsha0jabbohaZjabb6caUaqaaiabbIcaOiabbMgaPjabbMcaPiabbccaGiabboeadjabb+gaVjabb2gaTjabbchaWjabbggaHjabbogaJjabbsha0jabbccaGiabbsgaKjabbMgaPjabbohaZjabbUgaRjabbccaGiabbIcaOiabbofatjabbchaWjabbIgaOjabbwgaLjabbkhaYjabbwgaLjabbMcaPaqaaiabbIcaOiabbMgaPjabbMgaPjabbMcaPiabbccaGiabbgeabjabbccaGiaaygW7cqqGKbazcqqGPbqAcqqGJbWycqqGLbqzcqqGGaaicqqGOaakcqqGdbWqcqqG1bqDcqqGIbGycqqGLbqzcqqGPaqkaeaacqqGOaakcqqGPbqAcqqGPbqAcqqGPbqAcqqGPaqkcqqGGaaicqqGubavcqqGYbGCcqqGPbqAcqqGHbqycqqGUbGBcqqGNbWzcqqG1bqDcqqGSbaBcqqGHbqycqqGYbGCcqqGGaaicqqGWbaCcqqG5bqEcqqGYbGCcqqGHbqycqqGTbqBcqqGPbqAcqqGKbazcqqGGaaicqqGOaakcqqGdbWqcqqGVbWBcqqGUbGBcqqGLbqzcqqGPaqkaeaacqqGOaakcqqGPbqAcqqG2bGDcqqGPaqkcqqGGaaicqqGobGtcqqGVbWBcqqG0baDcqqGLbqzcqqGGaaicqqGcbGqcqqGVbWBcqqGVbWBcqqGRbWAcqqGGaaicqqGOaakcqqGdbWqcqqG1bqDcqqGIbGycqqGVbWBcqqGPbqAcqqGKbazcqqGPaqkaaaa@092B@


Examine if the following are true statements: i The cube can cast a shadow in the shape of a rectangle. iiThe cube can cast a shadow in the shape of a hexagon.


A cube can cast shadow only in the shape of a square. Therefore, any other shapes are not possible. So, (i) False (ii) False MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@D573@

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The Extramarks website offers reliable and comprehensive solutions for students. Additionally, it provides past years’ papers, important questions, and sample papers for all classes and subjects. Furthermore, it offers learners a wide variety of learning modules to help them to perform at their best in any examination and have a bright academic career. Students can visit the Extramarks website to learn more about these learning tools.

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It is essential that students practice all these solutions, as the NCERT textbook forms the foundation of the subject’s curriculum. These solutions highlight the key concepts of the topics in Exercise 15.4. This helps students to learn all the Chapters of the Class 7 Mathematics curriculum effectively. Therefore, Extramarks recommends that students must thoroughly read these solutions before their examinations.

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The NCERT Solutions Class 7 Maths Chapter 15 Exercise 15.4 provided by Extramarks are authentic and trustworthy since they have been curated and cross-checked by expert educators. These solutions are easily understandable to students due to the simple language used in them. The solutions summarise the key points of the subject’s curriculum by providing students with an overview of the chapters. The NCERT Solutions Class 7 Maths Chapter 15 Exercise 15.4 provided by Extramarks are very informative and also include a proper explanation of the concepts of the chapter of the subject. The CBSE Class 7 curriculum is based on the NCERT textbook, so Extramarks recommends students learn these solutions thoroughly.