Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.
Choose the most appropriate option:
A) 1:9 B) 2:9 C) 3:9 D) 5:9 E) None of them
Let their edges be a and b. Then,   =a^3/b^3 = 1/27 (or) (a/b)^3 3/  3= 
<gadget id="calculator">3/  3</gadget>
<output>1</output>
1/27 (or) (a/b)^3= (1/3)3 (or) (a/b) = (1/3).   Therefore, Ratio of their surface area = 6a^2/6b^2 = a^2/b^2 = (a/b)^2 = 1/9, i.e. 1:9.   1:9nswer is 1:9.
<result>A</result>
Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.