{"id":27544,"date":"2021-07-01T10:05:59","date_gmt":"2021-07-01T04:35:59","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=27544"},"modified":"2021-07-01T10:10:04","modified_gmt":"2021-07-01T04:40:04","slug":"ncert-solutions-for-class-8-maths-chapter-7-intext-questions","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-7-intext-questions\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots InText Questions"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 7 Cube and Cube Roots InText Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots InText Questions<\/h2>\n

Try These (Page No. 111)<\/span><\/p>\n

Question 1.
\nFind the one\u2019s digit of the cube of each of the following numbers.
\n(i) 3331
\n(ii) 8888
\n(iii) 149
\n(iv) 1005
\n(v) 1024
\n(vi) 77
\n(vii) 5022
\n(viii) 53
\nSolution:
\n(i) 3331
\nunit digit of the number = 1
\nunit digit of the cube of the number = 1<\/p>\n

(ii) 8888
\nunit digit of the number = 8
\nunit digit of the cube of the number = 2<\/p>\n

(iii) 149
\nunit digit of the number = 9
\nunit digit of the cube of the number = 9<\/p>\n

\"NCERT<\/p>\n

(iv) 1005
\nunit digit of the number = 5
\nunit digit of the cube of the number = 5<\/p>\n

(v) 1024
\nunit digit of the number = 4
\nunit digit of the cube of the number = 4<\/p>\n

(vi) 77
\nunit digit of the number = 7
\nunit digit of the cube of the number = 3<\/p>\n

(vii) 5022
\nunit digit of the number = 2
\nunit digit of the cube of the number = 8<\/p>\n

(viii) 53
\nunit digit of the number = 3
\nunit digit of the cube of the number = 7<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nExpress the following numbers as the sum of odd numbers using the above pattern?
\n(a) 63<\/sup>
\n(b) 83<\/sup>
\n(c) 73<\/sup>
\nSolution:
\n(a) n = 6 and (n – 1) = 5
\nWe start with (6 \u00d7 5) + 1 = 31
\nWe have
\n63<\/sup> = 31 + 33 + 35 + 37 + 39 + 41 = 216<\/p>\n

(b) n = 8 and (n – 1) = 7
\nWe start with (8 \u00d7 7) + 1 = 57
\nWe have
\n83<\/sup> = 57 + 59 + 61 + 63 + 65 + 67 + 69 + 71 = 512<\/p>\n

(c) n = 7 and (n – 1) = 6
\nWe start with (7 \u00d7 6) + 1 = 43
\nWe have
\n73<\/sup> = 43 + 45 + 47 + 49 + 51 + 53 + 53 + 55 = 343<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nConsider the following pattern.
\n23<\/sup> – 13<\/sup> = 1 + 2 \u00d7 1 \u00d7 3
\n33<\/sup> – 23<\/sup> = 1 + 3 \u00d7 2 \u00d7 3
\n43<\/sup> – 33<\/sup> = 1 + 4 \u00d7 3 \u00d7 3
\nUsing the above pattern, find the value of the following.
\n(i) 73<\/sup> – 63<\/sup>
\n(ii) 123<\/sup> – 113<\/sup>
\n(iii) 203<\/sup> – 193<\/sup>
\n(iv) 513<\/sup> – 503<\/sup>
\nSolution:
\n(i) 73<\/sup> – 63<\/sup> = 1 + 7 \u00d7 6 \u00d7 3 = 1 + 126 = 127
\n(ii) 123<\/sup> – 113<\/sup> = 1 + 12 \u00d7 11 \u00d7 3 = 1 + 396 = 397
\n(iii) 203<\/sup> – 193<\/sup> = 1 + 20 \u00d7 19 \u00d7 3 = 1 + 1140 = 1141
\n(iv) 513<\/sup> – 503<\/sup> = 1 + 51 \u00d7 50 \u00d7 3 = 1 + 7650 = 7651
\nNote: In the prime factorisation of any number, if each other appears three times, then the number is a perfect cube.<\/p>\n

Try These (Page No. 112)<\/span><\/p>\n

Question 4.
\nWhich of the following are perfect cubes?
\n1. 400
\n2. 3375
\n3. 8000
\n4. 15625
\n5. 9000
\n6. 6859
\n7. 2025
\n8. 10648
\nSolution:
\n1. We have
\n400 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 5 \u00d7 5
\n2 \u00d7 5 \u00d7 5 remain after grouping in triples.
\n400 is not a perfect cube.
\n\"NCERT<\/p>\n

2. We have
\n3375 = 3 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 5 \u00d7 5
\nThe prime factors appear in triples.
\n3375 is a perfect cube.
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

3. We have
\n8000 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 5 \u00d7 5 \u00d7 5
\nThe prime factor of 8000 can be grouped into triples and no factor is left over.
\n8000 is a perfect cube.
\n\"NCERT<\/p>\n

4. We have
\n15625 = 5 \u00d7 5 \u00d7 5 \u00d7 5 \u00d7 5 \u00d7 5
\nThe Prime factors of 15625 can be grouped into triples and no factor is left over.
\n15625 is a perfect cube.
\n\"NCERT<\/p>\n

5. We have
\n9000 = 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 5 \u00d7 5
\nThe prime factors of 9000 cannot be grouped into tripes (because 3 \u00d7 3 are leftover).
\n9000 is not a perfect cube.
\n\"NCERT<\/p>\n

6. We have
\n6859 = 19 \u00d7 19 \u00d7 19
\nThe prime factors of 6859 can be grouped into triples and no factor is left over.
\n6859 is a perfect cube.
\n\"NCERT<\/p>\n

7. We have
\n2025 = 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 5
\nWe do not get triples of prime factors of 2025 and 3 \u00d7 5 \u00d7 5.
\n2025 is not a perfect cube.
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

8. We have
\n10648 = 2 \u00d7 2 \u00d7 2 \u00d7 11 \u00d7 11 \u00d7 11
\nThe prime factor of 10648 can be grouped into triples and no factor is left over.
\n10648 is a perfect cube.
\n\"NCERT<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots InText Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots InText Questions Try These (Page No. 111) Question 1. Find the one\u2019s digit of the cube of each …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots InText Questions<\/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 7 Cube and Cube Roots InText Questions - 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-7-intext-questions\/\" \/>\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 7 Cube and Cube Roots InText Questions - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots InText Questions and Answers are prepared by our highly skilled subject experts. 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