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NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Ex 15.2

CBSE students can refer to NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Ex 15.2 Textbook Questions and Answers are provided by experts in order to help students secure good marks in exams.

Class 7 Maths NCERT Solutions Chapter 15 Visualising Solid Shapes Ex 15.2

Question 1.
Use isometric dot paper and make an isometric sketch to teach one of the given shapes :
(i)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 181
Solution:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 185

(ii)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 182
Solution:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 186

(iii)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 183
Solution:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 187

(iv)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 184
Solution:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 188

Question 2.
The dimensions of a cuboid are 5 cm, 3 cm, and 2 cm. Draw three different isometric sketches of this cuboid.
Solution:
Given, the dimensions of a cuboid are 5 cm, 3 cm, and 2 cm. Three different isometric sketches of a cuboid are as follows :

(i) When the length and height of the front face are 5 cm and 3 cm, respectively.
NCERT Solutions for Class 7 maths Algebraic Expreesions img 189
(ii) When the length and height of the front face are 2 cm and 5 cm, respectively.
NCERT Solutions for Class 7 maths Algebraic Expreesions img 190

(iii) Make an oblique sketch for each one of the given isometric shapes:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 191

Question 3.
There cubes each with a 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or isometric sketch of this cuboid.
Solution:
Oblique sketch:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 192
Isometric sketch:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 193

Question 4.
Make an oblique sketch for each one of the given isometric shapes.
(i)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 194
Solution:
We know that an oblique sketch does not have proportional lengths but it conveys all important aspects of the appearance of the solid. So, oblique sketch for each one of the appearances of the solid. So, the oblique sketch for each one of the given isometric sketch is as follows:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 196
(ii)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 195
Solution:
We know that an oblique sketch does not have proportional lengths but it conveys all important aspects of the appearance of the solid. So, oblique sketch for each one of the appearances of the solid. So, the oblique sketch for each one of the given isometric sketch is as follows :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 197

Question 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?
Solution:
(a)
(i) Oblique sketch of a cuboid of dimensions 5 cm, 3 cm, and 2 cm is as follows:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 198
(ii) An isometric sketch of this cuboid is as follows :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 199
No, these sketches are not unique.

(b) A cube with an edge 4 cm long.
Solution:
(i) Oblique sketch of the cube of edge 4 cm is as follows :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 200
(ii) An isometric sketch of this cube is as follows:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 201

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