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

To find: 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 x a x a = a³

Tripling the number a = 3a

Cube of 3a = 3a x 3a x 3a = 27a³

So,

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

given number.

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Updated on: 10-Oct-2022

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