# What Happens to the Cube of a Number If the Number is Multiplied by 5? - Mathematics

Sum

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

#### Solution

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 4nwe 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.

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 4 Cubes and Cube Roots
Exercise 4.1 | Q 14.3 | Page 8