{"id":42998,"date":"2022-05-27T02:00:45","date_gmt":"2022-05-26T20:30:45","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=42998"},"modified":"2023-11-09T19:08:35","modified_gmt":"2023-11-09T13:38:35","slug":"ml-aggarwal-class-7-solutions-for-icse-maths-chapter-15-objective-type-questions","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/ml-aggarwal-class-7-solutions-for-icse-maths-chapter-15-objective-type-questions\/","title":{"rendered":"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions"},"content":{"rendered":"<h2>ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions<\/h2>\n<p><strong>Mental Maths<\/strong><\/p>\n<p>Question 1.<br \/>\nFill in the blanks:<br \/>\n(i) A solid having no vertex and no edge is a &#8230;&#8230;&#8230;..<br \/>\n(ii) A solid that has congruent and parallel polygons as top and bottom faces and all other faces rectangular is known as &#8230;&#8230;&#8230;<br \/>\n(iii) A pyramid having 4 equilateral triangles as its faces is known as &#8230;&#8230;&#8230;<br \/>\n(iv) A solid having 3 faces (one curved and two circulars), no vertex and two curved edges are known as &#8230;&#8230;..<br \/>\n(v) A solid having a circular base and one vertex is called a &#8230;&#8230;&#8230;<br \/>\n(vi) A triangular prism has &#8230;&#8230;&#8230; faces, &#8230;&#8230;&#8230;&#8230; edges and &#8230;&#8230;&#8230;. vertices.<br \/>\n(vii) A triangular pyramid has &#8230;&#8230;&#8230; faces, &#8230;&#8230;&#8230;. edges and &#8230;&#8230;&#8230; vertices.<br \/>\n(viii) A square pyramid has &#8230;&#8230;&#8230; faces, &#8230;&#8230;&#8230;.. edges and &#8230;&#8230;&#8230; vertices.<br \/>\n(ix) The base of a triangular pyramid is a &#8230;&#8230;&#8230;<br \/>\n(x) Out of &#8230;&#8230;&#8230;.. faces of a triangular prism, &#8230;&#8230;&#8230; are rectangle and &#8230;&#8230;&#8230;.. are triangles.<br \/>\n(xi) Out of &#8230;&#8230;&#8230;.. faces of a square pyramid, &#8230;&#8230;&#8230;. are a triangle and &#8230;&#8230;&#8230;. is\/are squares.<br \/>\n(xii) Out of &#8230;&#8230;&#8230;. faces of a rectangular pyramid, &#8230;&#8230;&#8230;. are triangles and the base is a &#8230;&#8230;&#8230;.<br \/>\n(xiii) A &#8230;&#8230;&#8230;.. is a sort of skeleton &#8211; outline in 2-D, which on folding results in a 3-D shape.<br \/>\n(xiv) If the sum of numbers on the two dice thrown together is 9, then the sum of the numbers opposite to these faces is &#8230;&#8230;&#8230;.<br \/>\nSolution:<br \/>\n(i) A solid having no vertex and no edge is a sphere.<br \/>\n(ii) A solid that has congruent and parallel polygons as top and bottom faces<br \/>\nand all other faces rectangular is known as a prism.<br \/>\n(iii) A pyramid having 4 equilateral triangles as its faces is known as a tetrahedron.<br \/>\n(iv) A solid having 3 faces (one curved and two circulars),<br \/>\nno vertex and two curved edges are known as a cylinder.<br \/>\n(v) A Solis\u2019having a circular base and one vertex is called a cone.<br \/>\n(vi) A triangular prism has 5 faces, 9 edges, and 6 vertices.<br \/>\n(vii) A triangular pyramid has 4 faces, 6 edges, and 4 vertices.<br \/>\n(viii) A square pyramid has 5 faces, 8 edges, and 5 vertices.<br \/>\n(ix) The base of a triangular pyramid is a triangle.<br \/>\n(x) Out of 5 faces of a triangular prism, 3 are rectangle and 2 are triangles.<br \/>\n(xi) Out of 5 faces of a square pyramid, 4 are triangle and 1 is\/are squares.<br \/>\n(xii) Out of 5 faces of a rectangular pyramid, 4 are triangles and the base is a rectangle.<br \/>\n(xiii) A net is a sort of skeleton &#8211; outline in 2-D, which on folding results in a 3-D shape.<br \/>\n(xiv) If the sum of numbers on the two dice thrown together is 9,<br \/>\nthen the sum of the numbers opposite to these faces is 5.<\/p>\n<p>Question 2.<br \/>\nState whether the following statements are true (T) or false (F):<br \/>\n(i) The faces of a prism are triangular.<br \/>\n(ii) A cube can be treated as a prism.<br \/>\n(iii) A pyramid has only one vertex.<br \/>\n(iv) All the faces, except the base, of a square pyramid are triangular.<br \/>\n(v) A tetrahedron has 3 rectangular faces and 1 rectangle face.<br \/>\n(vi) A square pyramid has 5 faces and one vertex.<br \/>\n(vii) A cone has one vertex, two faces, and one curved edge.<br \/>\n(viii)The shadow of a 3-D object is a 2-D figure.<br \/>\n(ix) A cube can cast a shadow in the shape of a rectangle.<br \/>\n(x) A cube can cast a shadow in the shape of a hexagon.<br \/>\n(xi) In an isometric sketch, the line segments of different lengths can represent the sides of a cube.<br \/>\n(xii) In an oblique sketch of a cuboid, the size of the opposite faces must be different.<br \/>\n(xiii) The top, front and side views of a sphere are different.<br \/>\n(xiv) The adjoining net is of a hexagonal pyramid.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-81422\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-Solutions-for-ICSE-Maths-Chapter-15-Visualising-Solid-Shapes-Objective-Type-Questions-Q6.1.png\" alt=\"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions Q6.1\" width=\"134\" height=\"79\" \/><br \/>\nSolution:<br \/>\n(i) The faces of a prism are triangular. (False)<br \/>\nCorrect:<br \/>\nFaces are rectangular.<br \/>\n(ii) A cube can be treated as a prism. (True)<br \/>\n(iii) A pyramid has only one vertex. (False)<br \/>\nCorrect:<br \/>\nIt has three or more than three.<br \/>\n(iv) All the faces, except the base, of a square pyramid are triangular. (True)<br \/>\n(v) A tetrahedron has 3 rectangular faces and 1 rectangle face. (False)<br \/>\nCorrect:<br \/>\nIt has triangular faces.<br \/>\n(vi) A square pyramid has 5 faces and one vertex. (False)<br \/>\nCorrect:<br \/>\nIt has five vertices, not one.<br \/>\n(vii) A cone has one vertex, two faces, and one curved edge. (True)<br \/>\n(viii) The shadow of a 3-D object is a 2-D figure. (True)<br \/>\n(ix) A cube can cast a shadow in the shape of a rectangle. (True)<br \/>\n(x) A cube can cast a shadow in the shape of a hexagon. (False)<br \/>\n(xi) In an isometric sketch, the line segments of different lengths<br \/>\ncan represent the sides of a cube. (False)<br \/>\nCorrect:<br \/>\nA cube has equal length.<br \/>\n(xii) In an oblique sketch of a cuboid, the size of the opposite faces<br \/>\nmust be different. (False)<br \/>\n(xiii) The top, front and side views of a sphere are different. (False)<br \/>\nCorrect:<br \/>\nAll are equal.<br \/>\n(xiv) The adjoining net is of a hexagonal pyramid. (True)<\/p>\n<p><strong>Multiple Choice Questions<\/strong><\/p>\n<p>Choose the correct answer from the given four options (3 to 11):<br \/>\nQuestion 3.<br \/>\nA triangular prism has<br \/>\n(a) 4 vertices and 6 edges<br \/>\n(b) 6 vertices and 9 edges<br \/>\n(c) 6 vertices and 6 edges<br \/>\n(d) 9 vertices and 6 edges<br \/>\nSolution:<br \/>\nA triangular prism has 6 vertices and 9 edges. (b)<\/p>\n<p>Question 4.<br \/>\nA square pyramid has<br \/>\n(a) 4 vertices and 4 faces<br \/>\n(b) 4 vertices and 5 faces<br \/>\n(c) 5 vertices and 4 faces<br \/>\n(d) 5 vertices and 5 faces<br \/>\nSolution:<br \/>\nA square pyramid has 5 vertices and 5 faces. (d)<\/p>\n<p>Question 5.<br \/>\nA solid having 4 (plane) faces, 4 vertices and 6 edges is called a<br \/>\n(a) triangular prims<br \/>\n(b) rectangular prism<br \/>\n(c) triangular pyramid<br \/>\n(d) rectangular pyramid<br \/>\nSolution:<br \/>\nA solid having 4 (plane) faces,<br \/>\n4 vertices and 6 edges is called rectangular pyramid. (c)<\/p>\n<p>Question 6.<br \/>\nThe number of cubes in the given structure is<br \/>\n(a) 12<br \/>\n(b) 10<br \/>\n(c) 9<br \/>\n(d) 8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-81421\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-Solutions-for-ICSE-Maths-Chapter-15-Visualising-Solid-Shapes-Objective-Type-Questions-mulQ6.1.png\" alt=\"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions mulQ6.1\" width=\"144\" height=\"158\" \/><br \/>\nSolution:<br \/>\nThe number of cubes in the given structure is 12. (a)<\/p>\n<p>Question 7.<br \/>\nAn isometric sheet is made up of dots forming<br \/>\n(a) squares<br \/>\n(b) rectangles<br \/>\n(c) right-angled triangles<br \/>\n(d) equilateral triangles<br \/>\nSolution:<br \/>\nAn isometric sheet is made up of dots<br \/>\nforming equilateral triangles. (d)<\/p>\n<p><strong>Question numbers 8 to 11 are based on the given figure in which unit cubes are put together to form a structure as shown:<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-81423\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-Solutions-for-ICSE-Maths-Chapter-15-Visualising-Solid-Shapes-Objective-Type-Questions-Q8.1.png\" alt=\"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions Q8.1\" width=\"266\" height=\"191\" \/><\/p>\n<p>Question 8.<br \/>\nThe number of unit cubes in the given structure is<br \/>\n(a) 13<br \/>\n(b) 20<br \/>\n(c) 21<br \/>\n(d) 22<br \/>\nSolution:<br \/>\nThe number of unit cubes in the given structure is 21. (c)<\/p>\n<p>Question 9.<br \/>\nThe number of unit cubes to be added to make a cuboid of dimensions 4 unit \u00d7 4 unit \u00d7 2 unit is<br \/>\n(a) 11<br \/>\n(b) 12<br \/>\n(c) 13<br \/>\n(d) 14<br \/>\nSolution:<br \/>\nThe number of unit cubes to be added to make a cuboid of dimensions<br \/>\n4 unit \u00d7 4 unit \u00d7 2 unit is 4 \u00d7 4 \u00d7 2 = 32 &#8211; 21 = 11 (a)<\/p>\n<p>Question 10.<br \/>\nIf the structure is painted on the surface everywhere, then the number of unit cubes having no face painted is<br \/>\n(a) 0<br \/>\n(b) 1<br \/>\n(c) 2<br \/>\n(d) 11<br \/>\nSolution:<br \/>\nIf the structure is painted on the surface everywhere,<br \/>\nthen the number of unit cubes &#8216; having no face painted is 1. (b)<\/p>\n<p>Question 11.<br \/>\nThe side view of the given structure is<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-81424\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-7-Solutions-for-ICSE-Maths-Chapter-15-Visualising-Solid-Shapes-Objective-Type-Questions-Q11.1.png\" alt=\"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions Q11.1\" width=\"290\" height=\"260\" \/><br \/>\nSolution:<br \/>\nThe side view of the given structure is (c).<\/p>\n<h4><a href=\"https:\/\/cbselibrary.com\/ml-aggarwal-icse-solutions-for-class-7-maths\/\">ML Aggarwal Class 7 Solutions for ICSE Maths<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions Mental Maths Question 1. Fill in the blanks: (i) A solid having no vertex and no edge is a &#8230;&#8230;&#8230;.. (ii) A solid that has congruent and parallel polygons as top and bottom faces and all other faces rectangular &#8230; <a title=\"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions\" class=\"read-more\" href=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-7-solutions-for-icse-maths-chapter-15-objective-type-questions\/\" aria-label=\"More on ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[3034],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v18.4.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-7-solutions-for-icse-maths-chapter-15-objective-type-questions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions\" \/>\n<meta property=\"og:description\" content=\"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions Mental Maths Question 1. 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Fill in the blanks: (i) A solid having no vertex and no edge is a &#8230;&#8230;&#8230;.. (ii) A solid that has congruent and parallel polygons as top and bottom faces and all other faces rectangular ... 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