Question

The ratio of volume of two cubes is 27:125 ,find the ratio of their surface area?

Answer 1

let 'a' be the side of the first cube and 'b' be the side of the second one
$a^{3} / b^{3}$=27/125
a/b=∛27/∛125
a/b=3/5
the ratios of their surface areas =$6a^{2}/6b^{2}$
=6*3*3/6*5*5
=9:25
Ans.. therefore the ratio of their surface areas = 9:25

Answer 2

therefore ratio of surface areas of two cubes
= area of frst cube / area of second cube
= (3* x^(2/3) ) / (5* x^(2/3))
= 3:5