Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

The volumes of two cubes are in the ratio 8 : 27. The ratio of their surface areas is :

a) 2 : 3
b) 4 : 9
c) 12 : 9
d) None of these

Answer: b
Explanation: Let their edges be a and b
$$\eqalign{ & \frac{{{a^3}}}{{{b^3}}} = \frac{8}{{27}} \cr & {\left( {\frac{a}{b}} \right)^3} = {\left( {\frac{2}{3}} \right)^3} \cr & \frac{a}{b} = \frac{2}{3} \cr & \frac{{{a^2}}}{{{b^2}}} = \frac{4}{9} \cr & \frac{{6{a^2}}}{{6{b^2}}} = \frac{4}{9}\,Or\,4:9 \cr} $$

Join The Discussion