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What number will you multiply by 1323 to make it a cube number?

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Prime factorisation of 1323 = 3³ × 7². To make it a cube, we need one more 7.
So, multiply by 7.
1323 × 7 = 9261 and 9261 = 21³.
So, required number = 7.

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

Class 8 Mathematics Chapter 1 A Square and A Cube solutions

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1 Answer

  1. 1323 = 3³ × 7². For it to be a perfect cube, each prime must occur in multiples of 3.
    We already have 7², so we need one more 7 to make it 7³.
    Therefore, multiply 1323 by 7 to get 3³ × 7³ = (3×7)³ = 21³ = 9261
    Answer: Multiply by 7 and cube root of the result is 21.

     

    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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