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Exercise 15.2 - Chapter 15 Visualising Solid Shapes class 7 ncert solutions Maths - SaraNextGen [2024]


Question 1:

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

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1843/Chapter%2015_html_6b197fc7.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1843/Chapter%2015_html_m41847fe.jpg

(i)

(ii)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1843/Chapter%2015_html_m5bc85847.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1843/Chapter%2015_html_m77c0c22d.jpg

(iii)

(iv)

Answer:

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

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1843/Chapter%2015_html_18f982b9.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1843/Chapter%2015_html_3f314dc7.jpg

(i)

(ii)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1843/Chapter%2015_html_m27ef467c.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1843/Chapter%2015_html_m41ff7847.jpg

(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.

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1845/Chapter%2015_html_60426aca.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1845/Chapter%2015_html_m3804224e.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1845/Chapter%2015_html_6d88b1bd.jpg

 

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.

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1849/Chapter%2015_html_m6145fda7.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1849/Chapter%2015_html_mda61f62.jpg

Isometric sketch

Oblique sketch

Question 4:

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

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1851/Chapter%2015_html_5d7d91e6.jpg

Answer:

The oblique sketch of these figures will be as follows.

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1851/Chapter%2015_html_m4fd7be16.jpg  https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1851/Chapter%2015_html_3627e115.jpg

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

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1856/Chapter%2015_html_m32972a3d.jpg  https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1856/Chapter%2015_html_m51ca4cc5.jpg

(ii) Isometric sketch

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1856/Chapter%2015_html_m44c58ef1.jpg  https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/45/1856/Chapter%2015_html_53097e3f.jpg

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.

Also Read : Exercise-15.3-Chapter-15-Visualising-Solid-Shapes-class-7-ncert-solutions-Maths

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