What is the smallest number that must be multiplied with 5400 to make it a perfect cube

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'I Did It' Mathematics>Cubes and Cube Roots>Exercise 3.2>Q 7

1. Cube of a Number:

(i) The cube of a number is that number raised to the power 3. Thus, if a is a number, then a3=a×a×a.

(ii) A natural number is a perfect cube, if it is cube of some natural number. Thus, a natural number n is a perfect cube. If n=m3 for some natural number m.

2. Properties of Cubes:

(i) The cube of an even natural number is even.

(ii) The cube of an odd natural number is odd.

3. Cube Root:

A number m is the cube root of a natural number n=m3. In other words, a cube root of a number n is the number whose cube is n. The cube root of n is denoted by n3

4. Properties of Cube Roots:

(i)  -n3=-n3

(ii) ab3=a3×b3

(iii) ab3=a3b3, b≠0

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