Advertisements
Advertisements
Question
What happens to the cube of a number if the number is multiplied by 4?
Advertisements
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.
APPEARS IN
RELATED QUESTIONS
Find the cubes of the number 302 .
Write the cubes of 5 natural numbers which are of the form 3n + 1 (e.g. 4, 7, 10, ...) and verify the following:
'The cube of a natural number of the form 3n + 1 is a natural number of the same form i.e. when divided by 3 it leaves the remainder 1'.
By which smallest number must the following number be divided so that the quotient is a perfect cube?
8788
By which smallest number must the following number be divided so that the quotient is a perfect cube?
243000
Write true (T) or false (F) for the following statement:
8640 is not a perfect cube.
Find the cube root of the following natural number 157464 .
Find the smallest number which when multiplied with 3600 will make the product a perfect cube. Further, find the cube root of the product.
Show that:
\[\frac{\sqrt[3]{729}}{\sqrt[3]{1000}} = \sqrt[3]{\frac{729}{1000}}\]
Making use of the cube root table, find the cube root
780 .
Making use of the cube root table, find the cube root
7800
