Advertisements
Advertisements
प्रश्न
What happens to the cube of a number if the number is multiplied by 5?
उत्तर
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 4n, we 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.
APPEARS IN
संबंधित प्रश्न
Find the cubes of the number 55 .
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'.
Write the cubes of 5 natural numbers of which are multiples of 7 and verify the following:
'The cube of a multiple of 7 is a multiple of 73'.
Which of the following is perfect cube?
456533
Write true (T) or false (F) for the following statement:
If a2 ends in 9, then a3 ends in 7.
Which of the following number is cube of negative integer - 2197.
Find the cube root of the following integer −2744000 .
Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.
Find the cube-root of 1728.
Find two smallest perfect square numbers which when multiplied together gives a perfect cube number
