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NCERT Solutions for Class 7 Maths Chapter 15: Visualising Solid Shapes - Exercise 15.1

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Last updated date: 22nd Mar 2024
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MVSAT 2024

NCERT Solutions for Class 7 Maths Chapter 15 (EX 15.1)

Free PDF download of NCERT Solutions for Class 7 Maths Chapter 15 Exercise 15.1 and all chapter exercises at one place prepared by expert teacher as per NCERT (CBSE) books guidelines. Class 7 Maths Chapter 15 Visualising Solid Shapes Exercise 15.1 Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register and get all exercise solutions in your emails.


Class:

NCERT Solutions for Class 7

Subject:

Class 7 Maths

Chapter Name:

Chapter 15 - Visualising Solid Shapes

Exercise:

Exercise - 15.1

Content-Type:

Text, Videos, Images and PDF Format

Academic Year:

2023-24

Medium:

English and Hindi

Available Materials:

  • Chapter Wise

  • Exercise Wise

Other Materials

  • Important Questions

  • Revision Notes

Access NCERT Solution for Class VII Mathematics Chapter 15- Visualising Solid Shapes

Exercise 15.1


1. Identify the nets which can be used to make cubes (cut out copies of the nets and try it):


Nets to make a cube


Ans:

  1. To make a perfect cube we needed six planes and 8 corners. Although in this given image there are six plane presents. But when it is joined to make a cube one plane will overlap with another one plane. Thus, it can not be a perfect cube.

  2. To make a perfect cube we needed six planes and 8 corners. Although in this given image there are six plane presents. Through these six planes one can easily make a perfect cube. No plane will overlap upon one another. 

  3. To make a perfect cube we needed six planes and 8 corners. Although in this given image there are six plane presents. Through these six planes one can easily make a perfect cube. No plane will overlap upon one another. 

  4. To make a perfect cube we needed six planes and 8 corners. Although in this given image there are six plane presents. Through these six planes one can easily make a perfect cube. No plane will overlap upon one another. 

  5. To make a perfect cube we needed six planes and 8 corners. Although in this given image there are six plane presents. But when it is joined to make a cube one plane will overlap with another one plane. Thus, it cannot be a perfect cube.

  6. To make a perfect cube we needed six planes and 8 corners. Although in this given image there are six plane presents. Through these six planes one can easily make a perfect cube. No plane will overlap upon one another. 

      Thus, the correct option will be option (ii), (iii), (iv) and (vi). 


2. Dice are cubes with dots on each face. Opposite faces of a die always have a total 


Dice


of seven dots on them. Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.


Nets of the dice


Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.

Ans: To make them a perfect cube we should the numbers like, 


Net to make a cube


For the second diagram the boxes should be named as, 


Net box naming to make a cube


3. Can this be a net for a die? Explain your answer


Given net


Ans: No. Because one pair of opposite faces will have $1$ and $4$ on them and another pair of opposite faces will have $6$ and $3$ on them whose total is not equal to $7$.


4. Here is an incomplete net for making a cube. Complete it in at least two different ways. Remember that a cube has six faces. How many faces are there on the net here? (Give two separate diagrams. If you like, you may use a squared sheet for easy manipulation.)


Incomplete net for making cube


Ans: There three faces are given:


One of the ways to form a cube


Another way is 


Another way to form a cube



5. Match the nets with appropriate solids:


Match the correct options


Ans: To match the shapes with their nets one should have to check the shape of the solid and the number of planes. As the cube has six planes thus its net will be \[\left( {ii} \right)\]Again,the cylinder shape has one rectangle plane with two circles thus its net will be \[\left( {iii} \right)\]. For the tent shape one should have one triangular plane with a circle plane. Thus, its net will be \[\left( {iv} \right)\]. And we know the pyramid has four triangular planes with a square. Thus, its net will be, option\[\left( i \right)\].

Thus, the overall answer will be, 


Correct options for the solids


NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Exercise 15.1

Opting for the NCERT solutions for Ex 15.1 Class 7 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 15.1 Class 7 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.


Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 7 students who are thorough with all the concepts from the Subject Visualising Solid Shapes textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 7 Maths Chapter 15 Exercise 15.1 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.


Besides these NCERT solutions for Class 7 Maths Chapter 15 Exercise 15.1, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it.


Do not delay any more. Download the NCERT solutions for Class 7 Maths Chapter 15 Exercise 15.1 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well.