Question

The ratio between the square of a number and its cube is 1:3. What is the number? ​

Answer 1

Answer:

3

Call that number “x”

The square of that number is x^2

Also as the cube is x^3

The ratio between these 2 values is 1:3, this means x^2 / x^3 = 1 / 3

==> 1 / x = 1 / 3 (eliminate “x^2” for numerator and denominator of the fraction x^2 / x^3 )

==> x = 1 * 3 / 1 = 3

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Answer 2

Answer:

It's simple, the number will be 3 .

Trick:

Questions about the number which, when squared is (1/n)-th of its cube will have the solution of “n”.

Solution :

Let, the number be x.

So,

$x³= \frac{1}{3} x²$

$3x {}^{2} = x {}^{3}$

$(x²)(x−3)=0$

If x is not equal to zero then,

$x−3=0$

$x = 3$

So, the number will be 3 (or zero, as nothing is mentioned about x, in the question and we assumed x is not equal to zero)

Thanks for reading my answer. Hope this helps.