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

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)

Solution:

(ii)

Solution:

(iii)

Solution:

(iv)

Solution:

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.

(ii) When the length and height of the front face are 2 cm and 5 cm, respectively.

(iii) Make an oblique sketch for each one of the given isometric shapes:

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:

Isometric sketch:

Question 4.
Make an oblique sketch for each one of the given isometric shapes.
(i)

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:

(ii)

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 :

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:

(ii) An isometric sketch of this cuboid is as follows :

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 :

(ii) An isometric sketch of this cube is as follows: