Question

prove that if a number is tripled then it's cube is 27 times the cube of the given number

question.26

plz also give an explaination.​

Answer 1

Solution :-

Let us assume that the original number = 'x'

Its cube = (x)³

= x³

If the original number is tripled then the new number = 3*x

= 3x

Cube of the new number = (3x)³

= 3x*3x*3x

= 27x³

Therefore,

Cube of the original number : Cube of the new number which is tripled

⇒  1 : 27

Hence, the cube of the new number is 27 times the cube of the original number.

Hence proved

Answer 2

step by step explanation

Let the number be x so it's cube is (x)^3

Now by tripling it the number becomes 3x

and it's cube will be (3x)^3 = 3x × 3x × 3x = 27(x)^3

now u can clearly see that 27(x)^3 is 27 times of (x)^3

hope it helps