Question

What happens to the cube of a number if the number is multiplied by 3?

Answer 1

Let us consider a number n. Its cube would be \[n^3\] .

 If n is multiplied by 3, it becomes 3n.
Let us now find the cube of 3n, we get:

\[\left( 3n \right)^3 = 3^3 \times n^3 = 27 n^3\]Therefore, the cube of 3n is 27 times of the cube of n.
Thus, if a number is multiplied by 3, its cube is 27 times of the cube of that number.