Question

Prove that if a number is tripled, then its cube is 27 times the cube of the given
number.
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Answer 1

Answer:

Let the number is x If number is tripled then number = 3x Cube is x^3 and (3x)^3 x^3 & 27x^3 So, it is always 27 times the cube.Hence, proved

Answer 2

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.

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

it is prove the number is 27th times the new number.