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

Class 7: Maths Chapter 15 solutions. Complete Class 7 Maths Chapter 15 Notes.

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

ML Aggarwal 7th Maths Chapter 15, Class 7 Maths Chapter 15 solutions

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

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About ML Aggarwal

M. L. Aggarwal, is an Indian mechanical engineer, educator. His achievements include research in solutions of industrial problems related to fatigue design. Recipient Best Paper award, Manipal Institute of Technology, 2004. Member of TSTE.