Question

If the volume of two cubes are in the ratio $27:1$, the ratio of their radius is:

• A. $1:3$
• B. $1:27$
• C. $3:1$
• D. $27:1$

Answer 1

The correct option is C $3:1$

Given that,

Volume of two cube,

$\frac{v_1}{v_2}=\frac{27}{1}$ ….(1)

We know that volume of cube,

$v_1={a_1}^3,v_2={a_2}^3$ (where $a_1$ and $a_2$ are the edge of cubes)

Put, the value of $v_1$ and $v_2$ in equation 1^st , we get

$\frac{v_1}{v_2}=\frac{{a_1}^3}{{a_2}^3}=\frac{27}{1}$

$\frac{a_1}{a_2}=\frac{3}{1}$

$a_1:a_2=3:1$

Hence, this is the answer.