Question

If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is

• A. $8:1$
• B. $2\sqrt{2}:1$
• C. $2:1$
• D. None of these

Answer 1

The correct option is C

$2:1$

$\text{Let volume of first cube}=8x^3$

$\text{and that of second cube}=x^3$

$\therefore \text{Edge of the first cube}=\sqrt[3]{38x^3}=2x$

$\text{and edge of the second cube}=\sqrt[3]{3x^3}=x$

$\therefore \text{Ratio in their edges}=2x:x=2:1$