Advertisements
Advertisements
प्रश्न
What happens to the cube of a number if the number is multiplied by 5?
Advertisements
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.
संबंधित प्रश्न
Find the smallest number by which the following number must be divided to obtain a perfect cube.
135
Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?
Which of the following are cubes of odd natural numbers?
125, 343, 1728, 4096, 32768, 6859
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
675
Show that: \[\sqrt[3]{- 125 \times 216} = \sqrt[3]{- 125} \times \sqrt[3]{216}\]
Show that:\[\sqrt[3]{- 125 - 1000} = \sqrt[3]{- 125} \times \sqrt[3]{- 1000}\]
Find the cube-root of `343/512`
Find the cube-root of `(-512)/(343)`
Find the cube-root of 700 × 2 × 49 × 5.
Find the cube-root of `(729)/(-1331)`
