Question

If the volumes of two cubes are in the ratio 27:1, the ratio of their edges is:

• A. 1:3
• B. 1:27
• C. 3:1
• D. 27:1
• E. 1:9

Answer 1

The correct option is C

3:1

Let their edges be `a' and `b'. Then,

$\frac{a^3}{b^3}=\frac{27}{1}\iff {\left(\frac{a}{b}\right)}^3={\left(\frac{3}{1}\right)}^3\iff \frac{a}{b}=\frac{3}{1}\iff a:b=3:1$