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What Happens to the Cube of a Number If the Number is Multiplied by 4? - Mathematics

Sum

What happens to the cube of a number if the number is multiplied by  4?

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Solution

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

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

\[\left( 4n \right)^3 = 4^3 \times n^3 = 64 n^3\]

Therefore, the cube of 4n is 64 times of the cube of n.

Thus, if a number is multiplied by 4, its cube is 64 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 14.2 | Page 8
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