NCERT Solutions For Class 7 Maths Chapter 15

NCERT Solutions Class 7 Maths Visualising Solid Shapes

Ncert Solutions For Class 7 Maths Chapter 15 PDF Free Download

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes includes solutions for all the questions provided in the NCERT textbook for class 7 maths in a detailed and easy to understand way. This is the best study material for those students having trouble in finding the solutions for different problems related to this topic. NCERT Solutions for Class 7 Maths Visualising Solid Shapes includes various solved examples and other important questions from exam point of view. At BYJU’S, free NCERT Solutions for all the classes are available in PDF format to help students in their studies.

These NCERT solutions for chapter 15 of class 7 maths not only help the students to clear all their doubts instantly but also help the students to know the best answer to the respective questions in this chapter. These solutions are very easily understandable and any students can easily comprehend each step in the solutions. Students can also have access to these chapter 15 NCERT solutions of class 7 maths PDF anywhere and anytime according to their convenience.

NCERT Solutions For Class 7 Maths Chapter 15 Exercises

Exercise-15.1

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

1

Solution:

Cube’s nets are (2), (3), (4) and (6).

Q.2. There are dots on each side of a cubical dice. The sum of the dots on opposite sides of the dice is 7.Two shapes are given with empty boxes which constitute a dice. Fill the empty boxes with a suitable number such that the sum of the numbers on the opposite sides should be equal to 7.

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

2
3

Solution:

4

Q.3.Is the given figure forms a die? Justify your answer.

5

Solution: No, this cannot be a net for a die. Because one pair of opposite faces will have 1 and 4 on them and another pair of opposite faces will have 3 and 6 on them whose total is not equal to 7.

Q.4.Make a cube from the incomplete net that is given in the figure. Note that a cube has 6 faces and make this cube in two ways.

6

Solution: There are three faces given:

7

Q.5. Match the nets with appropriate solids:

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Solution:

9
9

Exercise-15.2

Q.1. Use isometric dot paper and make an isometric sketch for each one of the given shapes:

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Solution:

(i) and (ii)

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(iii) and (iv)

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Q.2. The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this cuboid.

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Solution: The dimensions of given cuboid are 5 cm, 3 cm and 2 cm:

Three different isometric sketches are:

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Q.3. Three cubes each with 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or isometric sketch of this cuboid.

Solution:

Oblique sketch:

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Isometric sketch:

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Q.4. Make an oblique sketch for each one of the given isometric shapes:

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Solution:

Oblique sketches:

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Q.5. Give (i) an oblique sketch and (ii) an isometric sketch for each of the following:

(a) A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)

(b) A cube of dimension 4 cm .

Solution:

(a)A cuboid of dimension 5 cm, 3 cm and 2 cm.

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(b) A cube of dimension 4 cm .

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Q.6. An isometric sheet is attached at the end of the book. You could try to make some cubes or cuboids of dimensions specified by your friend.

Solution: Cubes and cuboids shapes on the isometric sheet are given below:

21
21

You can also draw more shapes of cubes and cuboids.

Exercise-15.3

Q.1. When you are given a vertical cut and horizontal cut, what type of cross sections would you get?

(a)A brick

(b) An apple

(c) A die

(d) A circular pipe

Solution:

22
21
21
21
21
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Exercise-15.4

Q.1. 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).

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Solution:

24
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Q.2. Here are the shadows of some 3-D objects, when seen under the lamp of the overhead projector. Identify the solid (s) that match each shadow. (There may be multiple answers for these)

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Solution:

26

Q.3. Examine if the following are true or false:

(a) The cube can cast a shadow in the shape of a rectangle.

(b) The cube can cast a shadow in the shape of a hexagon.

Solution:

(a)True

(b)False

Visualizing solid shapes aims at building the basic knowledge about 3d shaped figures like cube, sphere, etc. and introducing the concepts of edges, vertices, faces, etc. The concepts taught in this chapter are extremely crucial as it forms the basis of the whole mensuration topic.

In this chapter, the different terminologies are explained with several examples and activities. These activities help the students to be engaged in learning and help them to have an in-depth understanding of the concepts. Students are also suggested to solve all the practice question given in the book to be able to enhance their problem-solving abilities. Students who face any doubts can just check these NCERT Solutions Class 7 Maths Chapter 15 here and clear them instantly.

Check out the complete NCERT Solutions For Class 7 Maths here in a detailed and easy to understand way. These solutions are available for free and for all the students. These NCERT solutions will not only help the students to clear their doubts instantly but will also help them to learn all the in-depth maths concepts in a more effective way.


Practise This Question

Mark the option which contains set of prime numbers.