ML Aggarwal Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes are available here, and it contains solutions for the exercise given in the textbook. These Solutions are explained in a proper step-by-step format in a simple language by expert tutors. We suggest students practice ML Aggarwal Solutions for Class 7 Maths Chapter 15 to get more marks in the exam.

Chapter 15 – Visualising Solid Shapes. Now, let us have a look at some of the concepts discussed in this chapter, Introduction to Plane Figures and Solid Figures, Faces, Edges and Vertices, Nets for Building 3-D Shapes, Drawing Solids on a Flat Surface, Oblique Sketches, Isometric Sketches Visualising Solid Objects.

Download the PDF of ML Aggarwal Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes

 

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Access answers to ML Aggarwal Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes

1. Match the following shapes with their names:

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 1

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 2

Solution:-

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 3

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 4

2. Identify the nets which can be folded to form a cube (cut out copies of the nets and try it)

(i)

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 5

Solution:-

The given net cannot be folded as cube.

Because, it can be folded as below,

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 6

(ii)

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 7

Solution:-

The given net can be folded as cube.

So, it can be folded as below,

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 8

(iii)

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 9

Solution:-

The given net can be folded as cube.

So, it can be folded as below,

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 10

(iv)

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 11

Solution:-

The given net can be folded as cube.

So, it can be folded as below,

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 12

(v)

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 13

Solution:-

The given net cannot be folded as cube.

Because, it can be folded as below,

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 14

(vi)

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 15

Solution:-

The given net can be folded as cube.

So, it can be folded as below,

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 16

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

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 17

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

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 18

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

Solution:-

(i)

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 19

By observing the above figure the sum of the opposite faces is equal to 7.

So, the given net can be folded into a net of dice.

(ii)

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 20

By observing the above figure the sum of the opposite faces is equal to 7.

So, the given net can be folded into a net of dice.

4. Can any of the following be a net for a die? If no, explain your answer.

(i)

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 21

Solution:-

Yes

(ii)

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 22

Solution:-

The given net is folded as dice is shown in figure below,

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 23

No, this cannot be a net for a die.

By observing the figure, we can say that, one pair of opposite face will have 1 and 4, another pair of opposite face will have 3 and 6 the sum of these two opposite faces are not equal to 7.

5. 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 are there in the net here? (You may use a squared paper for easy manipulation).

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 24

Solution:-

In the given net there are 3 faces and it can be completed as shown below,

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 25

6. The dimensions of a cuboid are 5 cm, 3 cm, and 2 cm. Draw three different isometric sketches of this cuboid with height
(i) 2 cm
(ii) 3 cm
(iii) 5 cm

Solution:-

The three different isometric sketches of this cuboid is shown below,

(i) 2 cm

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 26

(ii) 3 cm

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 27

(iii) 5 cm

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 28

7. Give (i) an oblique sketch (ii) an isometric sketch for each of the following:
(a) A cube is with an edge 4 cm long.
(b) A cuboid of length 6 cm, breadth 4 cm, and height 3 cm.

Solution:-

(a)

(i) Oblique sketch

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 29

(ii) Isometric sketch

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 30

(b) A cuboid of length 6 cm, breadth 4 cm, and height 3 cm.

(i) Oblique sketch

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 31

(ii) Isometric sketch

ML Aggarwal Solutions for Class 7 Maths Chapter 15 Image 32

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