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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