{"id":28109,"date":"2021-07-03T11:48:04","date_gmt":"2021-07-03T06:18:04","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=28109"},"modified":"2021-07-03T11:48:04","modified_gmt":"2021-07-03T06:18:04","slug":"ncert-solutions-for-class-8-maths-chapter-10-ex-10-3","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-10-ex-10-3\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes Ex 10.3"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 10 Visualizing Solid Shapes Ex 10.3 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes Exercise 10.3<\/h2>\n

Question 1.
\nCan a polyhedron have for its faces.
\n(i) 3 triangles
\n(ii) 4 triangles
\n(iii) a square and four triangles?
\nAnswer:
\n(i) No, it is not possible
\n(ii) Yes, four triangles can be the faces of a polyhedron.
\n(iii) Yes, a square and four triangles can be the faces.<\/p>\n

Question 2.
\nIs it possible to have a polyhedron with any given number of faces?
\n(Hint: Think of a pyramid)
\nAnswer:
\nPossible only if the number of faces is greater than or equal to 4.<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nWhich are prisms among the following?
\n\"NCERT
\n\"NCERT
\n(i) A nail
\n(ii) Unsharpened pencil
\nAnswer:
\n(i) No, a nail is not a prism.
\n(ii) Yes, unsharpened pencil is a prism.
\n(iii) No, table weight is not a prism.
\n(iv) Yes, box is a prism.<\/p>\n

Question 4.
\n(i) How are prisms and cylinders alike?
\n(ii) How are pyramids and cones alike?
\nAnswer:
\n(i) A prism becomes a cylinder as the number of sides of its base becomes larger and larger.
\n(ii) A pyramid becomes a cone as the number of sides of its base becomes larger and larger.<\/p>\n

Question 5.
\nIs a square prism same as a cube?
\nExplain:
\nAnswer:
\nNo, it can be a cuboid also.<\/p>\n

\"NCERT<\/p>\n

Question 6.
\nVerify Euler\u2019s formula for these solids.
\n\"NCERT
\nAnswer:
\nIn the given figure,
\nF = 7, V = 10 and E = 15
\nF + V – E = 7 + 10 – 15 = 17 – 15
\nF + V – E = 2
\nThus, Euler\u2019s formula is verified.<\/p>\n

(ii) In the given figure,
\nF = 9, V = 9 and E = 16
\nF + V- E = 9 + 9 – 16 = 18 – 16
\nThus, Euler\u2019s formula is verified.<\/p>\n

Question 7.
\nUsing Euler\u2019s formula find the unknown.
\n\"NCERT
\nAnswer:
\n(i) Here V = 6 and E = 12
\nF + V – E = 2
\nF + 6 – 12 = 2
\nF – 6 = 2
\nF = 6 + 2 = 8<\/p>\n

(ii) F = 5, E = 9
\nF + V – E = 2
\n5 + V – 9 = 2
\nV – 4 = 2
\nV = 2 + 4 = 6<\/p>\n

(iii) Here F = 20 V = 12
\nF + V – E = 2
\n20 + 12 – E = 2
\n32 – E = 2
\n32 – 2 = E
\n30 = E<\/p>\n

\"NCERT<\/p>\n

Question 8.
\nCan a polyhedron have 10 faces, 20 edges and 15 vertices?
\nAnswer:
\nHere, F = 10, E = 20, V = 15
\nWe know that F + V – E = 2
\nHere, F + V – E =10 + 15 – 20
\n= 25 – 20
\n= 15 \u2260 2
\n\u2234 Such a polyhedron is not possible.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes Ex 10.3 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes Exercise 10.3 Question 1. Can a polyhedron have for its faces. (i) 3 triangles (ii) 4 triangles (iii) a …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes Ex 10.3<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes Ex 10.3 - NCERT Solutions<\/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:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-10-ex-10-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes Ex 10.3 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes Ex 10.3 Questions and Answers are prepared by our highly skilled subject experts. 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