What happens to the cube of a number if the number is multiplied by:
(i) 3
(ii) 4
(iii) 5.

To do: 

We have to find what happens to the cube of a number if the number is multiplied by given numbers.

Solution:

Let the number be $a$.

Now,

Cube of $a = a \times a \times a$

$= a^3$

(i) If the number is multiplied by 3, we get,

$3\times a=3a$

Cube of $3a = 3a \times 3a \times 3a$

$= 27a^3$

Therefore,

The cube of the resulting number is 27 times of cube of the given number.

(ii) If the number is multiplied by 4, we get,

$4\times a=4a$

Cube of $4a = 4a \times 4a \times 4a$

$= 64a^3$

Therefore,

The cube of the resulting number is 64 times of cube of the given number.

(iii) If the number is multiplied by 5, we get,

$5\times a=5a$

Cube of $5a = 5a \times 5a \times 5a$

$= 125a^3$

Therefore,

The cube of the resulting number is 125 times of cube of the given number.

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Updated on: 10-Oct-2022

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