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Ayushree
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Asked: 2025-08-01T10:21:34+00:00 In:

You are told that 1331 is a perfect cube. Can you guess without factorisation what its cube root is? Similarly, guess the cube roots of 4913, 12167 and 32768.

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Yes:
1331 → 11³
4913 → 17³
12167 → 23³
32768 → 32³
The cube roots are guessed by memorising cube tables or checking ending digits and nearby cube ranges.

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

Class 8 Mathematics Chapter 1 A Square and A Cube solutions

1331 is a perfect cubeclass 8 maths a square and a cube chapter 1 mcqclass 8 maths ganita prakash chapter 1 question answer
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    1. We can guess these cube roots:
      1331 = 11³ (last digit is 1)
      4913 = 17³
      12167 = 23³
      32768 = 32³
      By knowing cube values or estimating from digit patterns, we match these cubes to their roots. For instance, 32³ = 32768, so cube root is 32. This helps in quick identification without full factorisation.

       

      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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