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NCERT solution class 7 chapter 15 Visualising solid shapes 15.2 mathematics

EXERCISE 15.2


Page No 285:

Question 1:

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

(i)

(ii)

(iii)

(iv)

Answer:

The isometric sketch of these figures can be drawn as follows.

(i)

(ii)

(iii)

(iv)

Question 2:

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

Answer:

3 isometric sketches of the given cuboid can be drawn as follows.

Question 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.

Answer:

When three cubes, each of 2 cm edge, are placed side by side, a cuboid with dimensions as 6 cm, 2 cm, and 2 cm will be formed.

Isometric sketch

Oblique sketch

Question 4:

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

Answer:

The oblique sketch of these figures will be as follows.

 

Page No 286:

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?)

(b) A cube with an edge 4 cm long.

Answer:

(i) Oblique sketch

 

(ii) Isometric sketch

 

The sketch for the cuboid is not unique. The cuboid can also be drawn by taking the length as 3 cm or 2 cm. This will lead to a different view of the same cuboid.

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