{"id":151260,"date":"2021-02-22T09:24:58","date_gmt":"2021-02-22T09:24:58","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=151260"},"modified":"2023-09-15T07:17:20","modified_gmt":"2023-09-15T07:17:20","slug":"ncert-solutions-for-7th-class-maths-chapter-15-visualising-solid-shapes","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-7th-class-maths-chapter-15-visualising-solid-shapes\/","title":{"rendered":"NCERT Solutions for 7th Class Maths: Chapter 15-Visualising Solid Shapes"},"content":{"rendered":"\n

Class 7: Maths Chapter 15 solutions. Complete Class 7 Maths Chapter 15 Notes.<\/p>\n\n\n\n

NCERT Solutions for 7th Class Maths: Chapter 15-Visualising Solid Shapes<\/strong><\/h2>\n\n\n\n

NCERT 7th Maths Chapter 15, class 7 Maths Chapter 15 solutions<\/p>\n\n\n\n

Exercise 15.1<\/h4>\n\n\n\n

1. Identify the nets which can be used to make cubes (cut out copies of the nets and try it):<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

Cube\u2019s nets are (ii), (iii), (iv) and (vi).<\/p>\n\n\n\n

2. Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them. <\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.<\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

3. Can this be a net for a die? Explain your answer.<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

No, this cannot be a net for a die because one pair of opposite faces will have 1 and 4 on them and another pair of opposite faces will have 3 and 6 on them whose total is not equal to 7.<\/p>\n\n\n\n

4. 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 faces are there in the net here? (Give two separate diagrams. If you like, you may use a squared sheet for easy manipulation.)<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

There are three faces in the net.<\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

5. Match the nets with appropriate solids:<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(a) – (ii)<\/p>\n\n\n\n

(b) – (iii)<\/p>\n\n\n\n

(c) – (iv)<\/p>\n\n\n\n

(d) – (i)<\/p>\n\n\n\n

NCERT 7th Maths Chapter 15, class 7 Maths Chapter 15 solutions<\/p>\n\n\n\n

Exercise 15.2 <\/h4>\n\n\n\n

1. Use isometric dot paper and make an isometric sketch for each one of the given shapes:<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

2. The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this cuboid. <\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

The dimensions of given cuboid are 5 cm, 3 cm and 2 cm:<\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

Three different isometric sketches are:<\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

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. <\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

Oblique sketch:<\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

Isometric sketch <\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

4. Make an oblique sketch for each one of the given isometric shapes: <\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

5. Give <\/strong><\/p>\n\n\n\n

(i) an oblique sketch and (ii) an isometric sketch for each of the following: <\/strong><\/p>\n\n\n\n

(a) A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?) <\/strong><\/p>\n\n\n\n

(b) A cube with an edge 4 cm long.<\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(a) A cuboid of dimensions 5 cm, 3 cm and 2 cm. <\/p>\n\n\n\n

(i) Oblique sketch<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n

(ii) Isometric sketch<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n

(b) A cube with an edge 4 cm long.<\/p>\n\n\n\n

(i) Oblique sketch<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n

(ii) Isometric sketch<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n

6. An isometric sheet is attached at the end of the book. You could try to make on it some cubes or cuboids of dimensions specified by your friend. <\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

Do it yourself.<\/p>\n\n\n\n

NCERT 7th Maths Chapter 15, class 7 Maths Chapter 15 solutions<\/p>\n\n\n\n

Exercise 15.3 <\/h4>\n\n\n\n

1. What cross-sections do you get when you give a:<\/strong><\/p>\n\n\n\n

(i) vertical cut (ii) horizontal cut to the following solids?<\/strong><\/p>\n\n\n\n

(a) A brick    <\/strong><\/p>\n\n\n\n

(b) A round apple    <\/strong><\/p>\n\n\n\n

(c) A die<\/strong><\/p>\n\n\n\n

(d) A circular pipe    <\/strong><\/p>\n\n\n\n

(e) An ice-cream cone.<\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(i) Vertical cut:<\/p>\n\n\n\n

(a) A brick \u2013 Cuboid<\/p>\n\n\n\n

(b) A round apple – Circular<\/p>\n\n\n\n

(c) A die \u2013 Square<\/p>\n\n\n\n

(d) A circular pipe – Circular<\/p>\n\n\n\n

(e) An ice cream cone \u2013 Curved shape<\/p>\n\n\n\n

(ii) horizontal cut<\/p>\n\n\n\n

(a) A brick – Cuboid<\/p>\n\n\n\n

(b) A round apple – Circular<\/p>\n\n\n\n

(c) A die – Cuboid<\/p>\n\n\n\n

(d) A circular pipe – Hemispherical<\/p>\n\n\n\n

(e) An ice cream cone – Frustum<\/p>\n\n\n\n

NCERT 7th Maths Chapter 15, class 7 Maths Chapter 15 solutions<\/p>\n\n\n\n

Exercise 15.4<\/h4>\n\n\n\n

1. A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. <\/strong><\/p>\n\n\n\n

(You may try to experiment first and then answer these questions).<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(i) A Ball – Circle<\/p>\n\n\n\n

(ii) A cylindrical pipe – Line<\/p>\n\n\n\n

(iii) A Book – Rectangle<\/p>\n\n\n\n

2. Here are the shadows of some 3-D objects, when seen under the lamp of the overhead projector. Identify the solid (s) that match each shadow. <\/strong><\/p>\n\n\n\n

(There may be multiple answers for these!)<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(i) Circle – Chapatti, Football, Disc, Plate etc.<\/p>\n\n\n\n

(ii) Square – Die, Square paper sheet, cubical magic box, Chalk box etc.<\/p>\n\n\n\n

(iii) Triangle – Ice-cream cone, Birthday cap, etc.<\/p>\n\n\n\n

(iv) Rectangle – Geometry box, Book, Table etc.<\/p>\n\n\n\n

3. Examine if the following are true statements: <\/strong><\/p>\n\n\n\n

(i) The cube can cast a shadow in the shape of a rectangle. <\/strong><\/p>\n\n\n\n

(ii) The cube can cast a shadow in the shape of a hexagon.<\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(i) True<\/p>\n\n\n\n

(ii) False.<\/p>\n\n\n\n

NCERT Solutions for 7th Class Maths: Chapter 15: Download PDF<\/strong><\/h2>\n\n\n\n

NCERT Solutions for 7th Class Maths: Chapter 15-Visualising Solid Shapes<\/p>\n\n\n\n

Download PDF<\/strong>: NCERT Solutions for 7th Class Maths: Chapter 15-Visualising Solid Shapes PDF<\/a><\/p>\n\n\n\n

Chapter-wise NCERT Solutions Class 7 Maths<\/h2>\n\n\n\n
Chapter 1 Integers<\/a><\/td><\/tr>
Chapter 2 Fractions and Decimals<\/a><\/td><\/tr>
Chapter 3 Data Handling<\/a><\/td><\/tr>
Chapter 4 Simple Equations<\/a><\/td><\/tr>
Chapter 5 Lines and Angles<\/a><\/td><\/tr>
Chapter 6 The Triangle and its Properties<\/a><\/td><\/tr>
Chapter 7 Congruence of Triangles<\/a><\/td><\/tr>
Chapter 8 Comparing Quantities<\/a><\/td><\/tr>
Chapter 9 Rational Numbers<\/a><\/td><\/tr>
Chapter 10 Practical Geometry<\/a><\/td><\/tr>
Chapter 11 Perimeter and Area<\/a><\/td><\/tr>
Chapter 12 Algebraic Expressions<\/a><\/td><\/tr>
Chapter 13 Exponents and Powers<\/a><\/td><\/tr>
Chapter 14 Symmetry<\/a><\/td><\/tr>
Chapter 15 Visualising Solid Shapes<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n


<\/strong>About NCERT<\/h2>\n\n\n\n


<\/strong>About NCERT<\/h2>\n\n\n\n

The National Council of Educational Research and Training is an autonomous organization of the Government of India which was established in 1961 as a literary, scientific, and charitable Society under the Societies Registration Act. Its headquarters are located at Sri Aurbindo Marg in New Delhi. Visit the Official NCERT website<\/a> to learn more. <\/p>\n\n\n\n

\n
NCERT Solutions<\/a><\/div>\n\n\n\n
NCERT Solutions for Class 7<\/a><\/div>\n\n\n\n
NCERT Solutions for Class 7 Maths<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Class 7: Maths Chapter 15 solutions. Complete Class 7 Maths Chapter 15 Notes. NCERT Solutions for 7th Class Maths: Chapter 15-Visualising Solid Shapes NCERT 7th Maths Chapter 15, class 7 Maths Chapter 15 solutions Exercise 15.1 1. Identify the nets which can be used to make cubes (cut out copies of the nets and try it): […]<\/p>\n","protected":false},"author":302,"featured_media":627330,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[1411,907],"tags":[1550],"boards":[1180],"class_list":["post-151260","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-book-solutions","category-class-7","tag-ncert-maths-class-7","boards-ncert","entry"],"yoast_head":"\nNCERT Solutions Class 7, Maths Chapter 15 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for 7th Class Maths: Chapter 15-Visualising Solid Shapes | Browse all Class 7 Maths Solutions of NCERT - IndCareer Schools\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-7th-class-maths-chapter-15-visualising-solid-shapes\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for 7th Class Maths: Chapter 15-Visualising Solid Shapes\" \/>\n<meta property=\"og:description\" content=\"Class 7: Maths Chapter 15 solutions. 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