Prove that if a number is trebled then its cube is 27 times the cube of the given number.

To do: 

We have to prove that if a number is tripled then its cube is 27 times the cube of the given number.

Solution:

Let the number be $a$.

Now,

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

$= a^3$

Tripling the number $a$, we get,

$3\times a=3a$

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

$= 27a^3$

So,

We can see that if a number is tripled, then its cube is 27 times the cube of the

given number.

Hence proved.

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Updated on: 10-Oct-2022

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