{"id":3219,"date":"2022-12-07T15:31:54","date_gmt":"2022-12-07T15:31:54","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3219"},"modified":"2023-01-31T06:53:28","modified_gmt":"2023-01-31T06:53:28","slug":"ncert-solutions-class-8-maths-chapter-7-cubes-and-cube-roots-ex-7-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-7-cubes-and-cube-roots-ex-7-2\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 7 (Cubes and Cube Roots)\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 8 Mathematics <strong>Chapter &#8211; 7 Cubes and Cube Roots <\/strong>Exercise 7.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><span style=\"color: #000000;\"><strong>Chapter 7: Cubes and Cube Roots<\/strong><\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-7-cubes-and-cube-roots-ex-7-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 7.1<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 7.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Find the cube root of each of the following numbers by the prime factorisation method.<br \/>\n<\/strong><strong>(i)\u00a0<\/strong>64\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>(ii)\u00a0<\/strong>512\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>(iii)<\/strong>\u00a010648<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(iv)<\/strong> 27000\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>(v)<\/strong> 15625\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>(vi)<\/strong>\u00a013824<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(vii)<\/strong> 110592\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>(viii)<\/strong> 46656\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>(ix)<\/strong>\u00a0175616<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(x)<\/strong>\u00a091125<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) 64<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3251\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1i.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"145\" height=\"239\" \/><br \/>\n<\/strong>64 = 2\u00d72\u00d72\u00d72\u00d72\u00d72<br \/>\n= (2\u00d72\u00d72) \u00d7 (2\u00d72\u00d72)<br \/>\n= (2\u00d72)<sup>3<\/sup><br \/>\n= 4<sup>3<\/sup><br \/>\nHence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{64}\" alt=\"\\sqrt[3]{64}\" align=\"absmiddle\" \/> = 4.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 512<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3252\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1ii.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"161\" height=\"289\" \/><br \/>\n<\/strong>512 = 2\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72<br \/>\n= (2\u00d72\u00d72) \u00d7 (2\u00d72\u00d72) \u00d7 (2\u00d72\u00d72)<br \/>\n= (2\u00d72\u00d72)<sup>3<\/sup><br \/>\n= 8<sup>3<br \/>\n<\/sup>Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{512}\" alt=\"\\sqrt[3]{512}\" align=\"absmiddle\" \/> = 8.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 10648<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3250\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1iii.jpg\" alt=\"NCERT Maths Solutions Class 8\" width=\"131\" height=\"201\" \/><br \/>\n<\/strong>10648 = 2\u00d72\u00d72\u00d711\u00d711\u00d711<br \/>\n= (2\u00d72\u00d72)\u00d7(11\u00d711\u00d711)<br \/>\n= (2 \u00d711)<sup>3<\/sup><br \/>\n= 22<sup>3<br \/>\n<\/sup>Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{10648}\" alt=\"\\sqrt[3]{10648}\" align=\"absmiddle\" \/> = 22.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 27000<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3248\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1iv.jpg\" alt=\"NCERT Maths Solutions Class 8\" width=\"136\" height=\"281\" \/><br \/>\n<\/strong>27000 = 2\u00d72\u00d72\u00d73\u00d73\u00d73\u00d73\u00d75\u00d75\u00d75<br \/>\n= (2\u00d72\u00d72)\u00d7(3\u00d73\u00d73)\u00d7(5\u00d75\u00d75)<br \/>\n= (2\u00d73\u00d75)<sup>3<\/sup><br \/>\n= 30<sup>3<br \/>\n<\/sup>Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{27000}\" alt=\"\\sqrt[3]{27000}\" align=\"absmiddle\" \/> = 30.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) 15625<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3245\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1v.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"142\" height=\"177\" \/><br \/>\n<\/strong>15625 = 5\u00d75\u00d75\u00d75\u00d75\u00d75<br \/>\n= (5\u00d75\u00d75) \u00d7 (5\u00d75\u00d75)<br \/>\n= (5\u00d75)<sup>3<\/sup><br \/>\n= 25<sup>3<br \/>\n<\/sup>Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{15625}\" alt=\"\\sqrt[3]{15625}\" align=\"absmiddle\" \/> = 25.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) 13824<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3246\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1vi.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"133\" height=\"335\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1vi.png 133w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1vi-119x300.png 119w\" sizes=\"auto, (max-width: 133px) 100vw, 133px\" \/><br \/>\n<\/strong>13824 = 2\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d73\u00d73\u00d73<br \/>\n= (2\u00d72\u00d72)\u00d7(2\u00d72\u00d72)\u00d7(2\u00d72\u00d72)\u00d7(3\u00d73\u00d73)<br \/>\n= (2\u00d72\u00d7 2\u00d73)<sup>3<\/sup><br \/>\n= 24<sup>3<br \/>\n<\/sup>Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{13824}\" alt=\"\\sqrt[3]{13824}\" align=\"absmiddle\" \/> = 24.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vii) 110592<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3247\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1vii.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"156\" height=\"400\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1vii.png 156w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1vii-117x300.png 117w\" sizes=\"auto, (max-width: 156px) 100vw, 156px\" \/><br \/>\n<\/strong>110592 = 2\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d73\u00d73\u00d73<br \/>\n= (2\u00d72\u00d72)\u00d7(2\u00d72\u00d72)\u00d7(2\u00d72\u00d72)\u00d7(2\u00d72\u00d72)\u00d7(3\u00d73\u00d73)<br \/>\n= (2\u00d72\u00d72\u00d72\u00d73)<sup>3<\/sup><br \/>\n= 48<sup>3<br \/>\n<\/sup>Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{110592}\" alt=\"\\sqrt[3]{110592}\" align=\"absmiddle\" \/> = 48.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(viii) 46656<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3244\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1viii.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"146\" height=\"347\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1viii.png 146w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1viii-126x300.png 126w\" sizes=\"auto, (max-width: 146px) 100vw, 146px\" \/><br \/>\n<\/strong>46656 = 2\u00d72\u00d72\u00d72\u00d72\u00d72\u00d73\u00d73\u00d73\u00d73\u00d73\u00d73<br \/>\n= (2\u00d72\u00d72)\u00d7(2\u00d72\u00d72)\u00d7(3\u00d73\u00d73)\u00d7(3\u00d73\u00d73)<br \/>\n= (2\u00d72\u00d73\u00d73)<sup>3<\/sup><br \/>\n= 36<sup>3<br \/>\n<\/sup>Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{46656}\" alt=\"\\sqrt[3]{46656}\" align=\"absmiddle\" \/> = 36.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ix) 175616<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3249\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1ix.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"143\" height=\"339\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1ix.png 143w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1ix-127x300.png 127w\" sizes=\"auto, (max-width: 143px) 100vw, 143px\" \/><br \/>\n<\/strong>175616 = 2\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d72\u00d77\u00d77\u00d77<br \/>\n= (2\u00d72\u00d72)\u00d7(2\u00d72\u00d72)\u00d7(2\u00d72\u00d72)\u00d7(7\u00d77\u00d77)<br \/>\n= (2\u00d72\u00d72\u00d77)<sup>3<\/sup><br \/>\n= 56<sup>3<br \/>\n<\/sup>Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{175616}\" alt=\"\\sqrt[3]{175616}\" align=\"absmiddle\" \/> = 56<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(x) 91125<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3243\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.2-Q-1x.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"170\" height=\"285\" \/><br \/>\n<\/strong>91125 = 3\u00d73\u00d73\u00d73\u00d73\u00d73\u00d73\u00d75\u00d75\u00d75<br \/>\n= (3\u00d73\u00d73)\u00d7(3\u00d73\u00d73)\u00d7(5\u00d75\u00d75)<br \/>\n= (3\u00d73\u00d75)<sup>3<br \/>\n<\/sup>= 45<sup>3<br \/>\n<\/sup>Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{91125}\" alt=\"\\sqrt[3]{91125}\" align=\"absmiddle\" \/> = 45.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. State true or false.<br \/>\n<\/strong><strong>(i)<\/strong>\u00a0Cube of any odd number is even,<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(ii)<\/strong>\u00a0A perfect cube does not end with two zeros.<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(iii)<\/strong>\u00a0If square of a number ends with 5, then its cube ends with 25.<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(iv)<\/strong>\u00a0There is no perfect cube which ends with 8.<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(v)<\/strong>\u00a0The cube of a two digit number may be a three digit number.<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(vi)<\/strong>\u00a0The cube of a two digit number may have seven or more digits.<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(vii)<\/strong>\u00a0The cube of a single digit number may be a single digit number.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i)<\/strong> Cube of any odd number is even,\u00a0 <strong>(False)<\/strong><br \/>\n<strong>(ii)<\/strong> A perfect cube does not end with two zeros. <strong>(True)<\/strong><br \/>\n<strong>(iii)<\/strong> If square of a number ends with 5, then its cube ends with 25. <strong>(False)<\/strong><br \/>\n<strong>(iv)<\/strong> There is no perfect cube which ends with 8. <strong>(False)<\/strong><br \/>\n<strong>(v)<\/strong> The cube of a two digit number may be a three digit number. <strong>(False)<\/strong><br \/>\n<strong>(vi)<\/strong> The cube of a two digit number may have seven or more digits. <strong>(False)<\/strong><br \/>\n<strong>(vii)<\/strong> The cube of a single digit number may be a single digit number. <strong>(True)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. You are told that 1,331 is a perfect cube. Can you guess without factorisation what its cube root is? Similarly, guess the cube roots of 4913, 12167, and 32768.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>Cube root of 1331<br \/>\nThe given number is 1331.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Step 1.<\/strong>\u00a0Form groups of three starting from the rightmost digit of 1331.\u00a0<u>1<\/u><u>331<\/u><br \/>\nIn this case, one group i.e., 331 has three digits whereas 1 has only 1 digit.<br \/>\n<strong>Step 2.<\/strong>\u00a0Take 331.<br \/>\nThe digit 1 is at one\u2019s place. We take the one\u2019s place of the required cube root as 1.<br \/>\n<strong>Step 3.<\/strong>\u00a0Take the other group, i.e., 1. Cube of 1 is 1.<br \/>\nTake 1 as ten\u2019s place of the cube root of 1331.<br \/>\nThus, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{1331}\" alt=\"\\sqrt[3]{1331}\" align=\"absmiddle\" \/> <span id=\"MathJax-Element-10-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-82\" class=\"math\"><span id=\"MathJax-Span-83\" class=\"mrow\"><span id=\"MathJax-Span-87\" class=\"mo\">=<\/span><span id=\"MathJax-Span-88\" class=\"mn\">11<\/span><\/span><\/span><\/span><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)<\/strong> Cube root of 4913<br \/>\nThe given number is 4913.<br \/>\n<strong>Step 1.<\/strong>\u00a0Form groups of three starting from the rightmost digit of 4913.<br \/>\nIn this case one group, i.e., 913 has three digits whereas 4 has only one digit.<br \/>\n<strong>Step 2.<\/strong>\u00a0Take 913.<br \/>\nThe digit 3 is at its one\u2019s place. We take the one\u2019s place of the required cube root as 7.<br \/>\n<strong>Step 3.<\/strong>\u00a0Take the other group, i.e., 4. Cube of 1 is 1 and cube of 2 is 8. 4 lies between 1 and 8.<br \/>\nThe smaller number among 1 and 2 is 1.<br \/>\nThe one\u2019s place of 1 is 1 itself. Take 1 as ten\u2019s place of the cube root of 4913.<br \/>\nThus, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{4913}\" alt=\"\\sqrt[3]{4913}\" align=\"absmiddle\" \/> <span id=\"MathJax-Element-11-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-89\" class=\"math\"><span id=\"MathJax-Span-90\" class=\"mrow\"><span id=\"MathJax-Span-94\" class=\"mo\">= <\/span><span id=\"MathJax-Span-95\" class=\"mn\">17<\/span><\/span><\/span><\/span><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) <\/strong>Cube root of 12167<\/span><br \/>\n<span style=\"color: #000000;\">The given number is 12167.<\/span><br \/>\n<span style=\"color: #000000;\"><strong>Step 1.<\/strong>\u00a0Form groups of three starting from the rightmost digit of 12167.<\/span><br \/>\n<span style=\"color: #000000;\">12 167. In this case, one group, i. e., 167 has three digits whereas 12 has only two digits.<\/span><br \/>\n<span style=\"color: #000000;\"><strong>Step 2.<\/strong>\u00a0Take 167.<\/span><br \/>\n<span style=\"color: #000000;\">The digit 7 is at its one\u2019s place. We take the one\u2019s place of the required cube root as 3.<\/span><br \/>\n<span style=\"color: #000000;\"><strong>Step 3.<\/strong>\u00a0Take the other group, i.e., 12. Cube of 2 is 8 and cube of 3 is 27. 12 lies between 8 and 27. The smaller among 2 and 3 is 2.<\/span><br \/>\n<span style=\"color: #000000;\">The one\u2019s place of 2 is 2 itself. Take 2 as ten\u2019s place of the cube root of 12167.<\/span><br \/>\n<span style=\"color: #000000;\">Thus, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{12167}\" alt=\"\\sqrt[3]{12167}\" align=\"absmiddle\" \/> <span id=\"MathJax-Element-12-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-96\" class=\"math\"><span id=\"MathJax-Span-97\" class=\"mrow\"><span id=\"MathJax-Span-101\" class=\"mo\">= <\/span><span id=\"MathJax-Span-102\" class=\"mn\">23<\/span><\/span><\/span><\/span>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">Cube root of 32768<\/span><br \/>\n<span style=\"color: #000000;\">The given number is 32768.<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>Step 1.<\/strong>\u00a0Form groups of three starting from the rightmost digit of 32768.<\/span><br \/>\n<span style=\"color: #000000;\">32 768. In this case one group,<\/span><br \/>\n<span style=\"color: #000000;\">i. e., 768 has three digits whereas 32 has only two digits.<\/span><br \/>\n<span style=\"color: #000000;\"><strong>Step 2.<\/strong>\u00a0Take 768.<\/span><br \/>\n<span style=\"color: #000000;\">The digit 8 is at its one\u2019s place. We take the one\u2019s place of the required cube root as 2.<\/span><br \/>\n<span style=\"color: #000000;\"><strong>Step 3.<\/strong>\u00a0Take the other group, i.e., 32.<\/span><br \/>\n<span style=\"color: #000000;\">Cube of 3 is 27 and cube of 4 is 64.<\/span><br \/>\n<span style=\"color: #000000;\">32 lies between 27 and 64.<\/span><br \/>\n<span style=\"color: #000000;\">The smaller number between 3 and 4 is 3.<\/span><br \/>\n<span style=\"color: #000000;\">The ones place of 3 is 3 itself. Take 3 as ten\u2019s place of the cube root of 32768.<\/span><br \/>\n<span style=\"color: #000000;\">Thus, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{32768}\" alt=\"\\sqrt[3]{32768}\" align=\"absmiddle\" \/> <span id=\"MathJax-Element-13-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-103\" class=\"math\"><span id=\"MathJax-Span-104\" class=\"mrow\"><span id=\"MathJax-Span-108\" class=\"mo\">= <\/span><span id=\"MathJax-Span-109\" class=\"mn\">32<\/span><\/span><\/span><\/span>.<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 8 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Mathematics<\/a>\u00a0<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-sanskrit-ruchira\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 7 (Cubes and Cube Roots)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 7 Cubes and Cube Roots Exercise 7.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 7: Cubes and Cube Roots NCERT Solution Class [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[456,457,445,5],"class_list":["post-3219","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-7-cubes-and-cube-roots-in-english","tag-ncert-solutions-class-8-maths-chapter-7-in-english","tag-ncert-solutions-class-8-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - 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