{"id":3217,"date":"2022-12-07T15:31:44","date_gmt":"2022-12-07T15:31:44","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3217"},"modified":"2023-01-31T06:53:35","modified_gmt":"2023-01-31T06:53:35","slug":"ncert-solutions-class-8-maths-chapter-7-cubes-and-cube-roots-ex-7-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-7-cubes-and-cube-roots-ex-7-1\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1"},"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 7.1 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-7-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 7.2<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 7.1\u00a0<\/span><\/h2>\n<p><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">1. Which of the following numbers are not perfect cubes?<br \/>\n<\/span><\/strong><span style=\"font-family: georgia, palatino, serif;\"><strong>(i)<\/strong> 216\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>(ii)<\/strong> 128\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>(iii)<\/strong>\u00a01000<br \/>\n<strong>(iv)<\/strong> 100\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>(v)<\/strong>\u00a046656<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n(i) 216<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3226\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-1i.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"74\" height=\"245\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">216 = 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d72\u00d72) \u00d7 (3\u00d73\u00d73)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d73)<sup>3<\/sup><br \/>\n= 6<sup>3<\/sup><br \/>\nHence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{216}\" alt=\"\\sqrt[3]{216}\" align=\"absmiddle\" \/> = 6<\/span><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) 128<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3227\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-1ii.jpeg\" alt=\"NCERT Maths Solutions Class 8\" width=\"84\" height=\"320\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-1ii.jpeg 84w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-1ii-79x300.jpeg 79w\" sizes=\"auto, (max-width: 84px) 100vw, 84px\" \/><br \/>\n<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">128 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d72\u00d72) \u00d7 (2\u00d72\u00d72) \u00d7 2<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 128 cannot be grouped into triplets of equal factors, and we are left with one factor: 2.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 128 is not a perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii) 1000<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3228\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-1iii.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"97\" height=\"300\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">1000 = 2 \u00d7 2 \u00d7 2 \u00d7 5 \u00d7 5 \u00d7 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d72\u00d72) \u00d7 (5\u00d75\u00d75)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d75)<sup>3<\/sup><br \/>\n= 103<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\sqrt[3]{1000}\" alt=\"\\sqrt[3]{1000}\" align=\"absmiddle\" \/> = 10.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv) 100<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3229\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-1iv.jpeg\" alt=\"NCERT Maths Solutions Class 8\" width=\"106\" height=\"200\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">100 = 2 \u00d7 2 \u00d7 5 \u00d7 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 100 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 100 is not a perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(v) 46656<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3230\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-1v.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"86\" height=\"405\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-1v.png 170w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-1v-64x300.png 64w\" sizes=\"auto, (max-width: 86px) 100vw, 86px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">46656 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d72\u00d72) \u00d7 (2\u00d72\u00d72) \u00d7 (3\u00d73\u00d73) \u00d7 (3\u00d73\u00d73)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d72\u00d73\u00d73)<sup>3<\/sup><br \/>\n= 36<sup>3<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?{\\sqrt[3]{46656}}\" alt=\"{\\sqrt[3]{46656}}\" align=\"absmiddle\" \/> = 36.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">2. Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube.<br \/>\n<\/span><\/strong><strong>(i)<\/strong> 243\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>(ii)<\/strong> 256\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>(iii)<\/strong>\u00a072<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(iv)<\/strong> 675\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>(v)<\/strong>\u00a0100<\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n(i) 243<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3231\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-2i.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"98\" height=\"249\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">243 = 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (3\u00d73\u00d73) \u00d7 3\u00d73<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 3 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will multiply 243 by 3 to get the perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) 256<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3232\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-2ii.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"90\" height=\"310\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-2ii.png 152w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-2ii-87x300.png 87w\" sizes=\"auto, (max-width: 90px) 100vw, 90px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">256 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d72\u00d72) \u00d7 (2\u00d72\u00d72) \u00d7 2 \u00d7 2<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 2 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will multiply 256 by 2 to get the perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii) 72<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3233\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-2iii.jpeg\" alt=\"NCERT Maths Solutions Class 8\" width=\"64\" height=\"200\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">72 = 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d72\u00d72) \u00d7 3 \u00d7 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 3 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will multiply 72 by 3 to get the perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv) 675<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3234\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-2iv.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"115\" height=\"242\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-2iv.png 177w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-2iv-142x300.png 142w\" sizes=\"auto, (max-width: 115px) 100vw, 115px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">675 = 3 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (3\u00d73\u00d73) \u00d7 5 \u00d7 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 5 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will multiply 675 by 5 to get the perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(v) 100<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3235\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-2v.jpeg\" alt=\"NCERT Maths Solutions Class 8\" width=\"106\" height=\"200\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">100 = 2 \u00d7 2 \u00d7 5 \u00d7 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 2 and 5 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will multiply 100 by (2\u00d75) 10 to get the perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">3. Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube.<br \/>\n<\/span><\/strong><strong>(i)<\/strong>\u00a081<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(ii)<\/strong>\u00a0128<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(iii)<\/strong>\u00a0135<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(iv)<\/strong>\u00a0192<\/span><br \/>\n<span style=\"color: #000000;\"><strong>(v)<\/strong>\u00a0704<\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) 81<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3236\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3i.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"77\" height=\"179\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">81 = 3 \u00d7 3 \u00d7 3 \u00d7 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (3\u00d73\u00d73) \u00d7 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 3 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will divide 81 by 3 to get the perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) 128<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3237\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3ii.jpeg\" alt=\"NCERT Maths Solutions Class 8\" width=\"86\" height=\"320\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3ii.jpeg 86w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3ii-81x300.jpeg 81w\" sizes=\"auto, (max-width: 86px) 100vw, 86px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">128 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d72\u00d72) \u00d7 (2\u00d72\u00d72) \u00d7 2<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 2 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will divide 128 by 2 to get the perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii) 135<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3238\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3iii.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"76\" height=\"171\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3iii.png 156w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3iii-133x300.png 133w\" sizes=\"auto, (max-width: 76px) 100vw, 76px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">135 = 3 \u00d7 3 \u00d7 3 \u00d7 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (3\u00d73\u00d73) \u00d7 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 5 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will divide 135 by 5 to get the perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv) 192<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3239\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3iv.jpeg\" alt=\"NCERT Maths Solutions Class 8\" width=\"77\" height=\"226\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3iv.jpeg 109w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3iv-102x300.jpeg 102w\" sizes=\"auto, (max-width: 77px) 100vw, 77px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">192 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d72\u00d72) \u00d7 (2\u00d72\u00d72) \u00d7 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 3 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will divide 192 by 3 to get the perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(v) 704<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3240\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3v.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"88\" height=\"291\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3v.png 160w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-7.1-Q-3v-91x300.png 91w\" sizes=\"auto, (max-width: 88px) 100vw, 88px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">704 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 11<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= (2\u00d72\u00d72) \u00d7 (2\u00d72\u00d72) \u00d7 11<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 11 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will divide 704 by 11 to get the perfect cube.<\/span><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Parikshit makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube?<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Solution &#8211; <\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Given the sides of the cube are 5 cm, 2 cm and 5 cm.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 Volume of cube = 5\u00d72\u00d75 = 50 cm<sup>3<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">Here, 2, 5 and 5 cannot be grouped into triplets of equal factors.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">\u2234 We will multiply 50 by (2\u00d72\u00d75) 20 to get the perfect cube.<br \/>\nHence, 20 cuboids are needed.<\/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: 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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 7.1 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-3217","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) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 8 Mathematics\u00a0Chapter - 7 (Cubes and Cube Roots)\u00a0The NCERT Solutions in English Language for Class 8 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