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

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Question

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

Sum

Solution

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 3nwe 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.
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Chapter 4: Cubes and Cube Roots - Exercise 4.1 [Page 8]

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RD Sharma Mathematics [English] Class 8
Chapter 4 Cubes and Cube Roots
Exercise 4.1 | Q 14.1 | Page 8

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