Question

prove that if a number is tripled then its cube is 27 times the cube of the given number

Answer 1

Let the number be a, then its cube will be a^3

When the number is tripled, that is, 3a, then the cube of the new number will be 27(a^3).

We need to prove that the new number is 27th times the given number.

Therefore, (a^3) : 27 / (a^3), which gives 1:27.

Hence, it is proved that the number is 27th times the new number.

Answer 2

Let the number be x .

So ; cube of the number i.e. x

x*x*x = x³

Then we add the no. X and find the cube of resultant no.

x+x+x = 3x

Cube of 3x = 3x*3x*3x

=27x³

Here we find that the ratio between the two is 1:27

This prooves that if a number is tripled then its cube is equal to 27 times cube of the no.

Hope this will helps you