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Question
What happens to the cube of a number if the number is multiplied by 4?
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 4n, we 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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