NCERT Solutions for Class 7 Maths Chapter 13: Visualising Solid Shapes - Exercise 13.1

Exercise 13.1

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

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 

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.

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, 

For the second diagram the boxes should be named as, 

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

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.)

Ans: There three faces are given:

Another way is 

5. Match the nets with appropriate solids:

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, 

NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes Exercise 13.1

Opting for the NCERT solutions for Ex 13.1 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 13.1 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 13 Exercise 13.1 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 13 Exercise 13.1, 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.

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