Question

What happens to the cube of a number if the number is multiplied by  5?

Answer 1

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

If the number n is multiplied by 5, it becomes 5n.
Let us now find the cube of 4n, we get: 

\[\left( 5n \right)^3 = 5^3 \times n^3 = 125 n^3\]

Therefore, the cube of 5n is 125 times of the cube of n.
Thus, if a number is multiplied by 5, its cube is 125 times of the cube of that number.