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
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/