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Ayushree
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Asked: 2025-08-01T10:20:01+00:00 In:

State true or false. Explain your reasoning. (i) The cube of any odd number is even. (ii) There is no perfect cube that ends with 8. (iii) The cube of a 2-digit number may be a 3-digit number. (iv) The cube of a 2-digit number may have seven or more digits. (v) Cube numbers have an odd number of factors.

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(i) False – cube of odd is odd.
(ii) False – 2³ = 8.
(iii) True – 5³ = 125.
(iv) True – 99³ = 970299
(v) False – cube numbers (unless cube of square) have even factors.

Class 8 Mathematics Textbook Chapter 1 A Square and A Cube question answer

Class 8 Mathematics Chapter 1 A Square and A Cube solutions

class 8 maths a square and a cube extra questions @tiwari_academyclass 8 maths chapter 1 a square and a cube figure it out solutionscube of any odd number is evenno perfect cube that ends with 8
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    1. (i) False – Odd³ = Odd (e.g., 3³ = 27)
      (ii) False – 2³ = 8 ends in 8
      (iii) True – 4³ = 64 (2-digit → 2-digit), 5³ = 125 (2-digit → 3-digit)
      (iv) True – 99³ = 970299 (2-digit cube has 6 digits)
      (v) False – Only cube numbers that are also squares have odd number of factors. Others have even.

       

      For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:

      https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/

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