{"id":30463,"date":"2021-12-30T18:04:18","date_gmt":"2021-12-30T12:34:18","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=30463"},"modified":"2025-01-27T17:38:58","modified_gmt":"2025-01-27T12:08:58","slug":"ncert-solutions-for-class-8-maths-chapter-7-cubes-and-cube-roots-summary","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-8\/maths\/chapter-7-cubes-and-cube-roots-summary\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube roots Summary"},"content":{"rendered":"<p><span data-contrast=\"auto\">Subject specialists have designed NCERT solutions for Maths Class 8 Chapter 7 which includes thorough solutions for reference. These\u202fsolutions  are updated according to the latest CBSE syllabus for 2012-22 and are provided in easy language for understanding. Tips and tricks are also provided.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">These solutions are provided so a student can clear his doubts and get help with deep understanding of the concept. Also you can refer them to make the chapter notes and revisions notes. PDF of this can also be downloaded from website.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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underline;\">terms and conditions<\/a> and <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/privacy\" style=\"text-decoration: underline;\">privacy policy<\/a>.<\/p>\n<p><input type=\"button\" style=\"cursor:pointer;width:auto;\" class=\"il_otp_submit\" value=\"Get OTP\" onclick=\"sendCF7OTP(this, otp_phone.value, user_name.value)\"><\/p>\n<div class=\"form-submit-btn-div\" style=\"display:none;\">\n<input type=\"submit\" value=\"Download PDF\" class=\"wpcf7-form-control has-spinner wpcf7-submit download-pdf-submit\" \/>\n<\/div>\n<\/div>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\n\t\t\t\t\t<span class=\"pdf-link hidden\" data-pdf=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/securepdfs\/2022\/05\/7.-Cubes-and-Cube-Roots-1.pdf\"><\/span>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div class=\"bg-overlay\"><\/div>\n\t\t<\/div>\n\t\t<a href=\"\/surge\/?pdfemb-serveurl=https%3A%2F%2Finfinitylearn.com%2Fsurge%2Fwp-content%2Fuploads%2Fsecurepdfs%2F2022%2F05%2F7.-Cubes-and-Cube-Roots-1.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-download-nonce=\"7e1a76c732\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">7. Cubes and Cube Roots<br\/><\/a><\/span><\/p>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">NCERT Solutions for Class 8 Maths Chapter 7- Cubes and Cube roots Summary<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The NCERT solutions covered in this chapter contains the answers for all the questions present in the chapter. The chapter includes two exercises, where, Exercise 7.1 deals with Cubes and Exercise 7.2 deals with Cube roots. In brief you can say-<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"5\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Numbers like 1729, 4104, 13832, are known as Hardy \u2013 Ramanujan Numbers. They can be expressed as sum of two cubes in two different ways.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ul>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"5\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Numbers obtained when a number is multiplied by itself three times are known as cube numbers.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"5\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">If in the prime factorisation of any number each factor appears three times, then the number is a perfect cube.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"auto\">The main topics coming in this chapter are: 7.1 Introduction 7.2 Cubes 7.2.1 Some Interesting Patterns 7.2.2 Smallest multiple that is a perfect cube 7.3 Cube Roots 7.3.1 Cube root through prime factorisation method 7.3.2 Cube root of a cube number<\/span><br \/>\n<span data-contrast=\"auto\">               4 Questions (4 Short Answer Questions)<\/span><br \/>\n<span data-contrast=\"auto\">               3 Questions (2 Long Answer Questions,1 Short Answer Questions)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"auto\">NCERT Solutions for Class 8 Maths Chapter 7- Cubes and Cube roots<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:40,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">This chapter helps in finding the cubes and cube roots of different numbers, understanding the difference between cubes and cube roots, and brings fun with some interesting patterns. The chapter also works on understanding the process of finding out the cubes and cube roots of a number using prime factorisation method. The chapter also deals with the method of finding the cube root of a cube number.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">This chapter helps in understanding the:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"6\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Find out the Cubes and cubes roots for numbers containing at most 3 digits<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"6\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Estimating cube roots and cube roots.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"6\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Learning the process of moving nearer to the required number.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ul>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">Frequently Asked Questions on NCERT Solutions for this Chapter<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">What kind of questions are there in these NCERT Solutions?<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">This chapter deals with multiple choice questions, descriptive type of questions, long answer type questions, short answer type questions, fill in the blanks and daily life examples. At end students can increase their problem solving skills also with time management skills. This will help you to score good marks<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Is NCERT Solutions of this Chapter enough to attend all the questions that come in the board exam?<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Yes, these NCERT Solutions deals with solutions for all questions given in NCERT Textbook Maths for Class 8. The most of the questions coming in the exams are from these exercises. By studying these concepts, you can achieve good grades.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Is it necessary to learn all the topics provided in NCERT Solutions for Class 8 Maths Chapter 7?<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Yes. As these questions seem to be important for exam. These questions are solved by subject matter experts for helping students to crack these exercises easily. These solutions give students knowledge about data handling. Solutions can be downloaded in PDF format on INFINITE LEARN website.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have designed NCERT solutions for Maths Class 8 Chapter 7 which includes thorough solutions for reference. 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