Question

if the two cubes have their volume in the ratio 1:27 then it ratio of the surface area

Answer 1

hey friend here is your sollution
let the radius of both cube be R and r respectively.
Atq.. R³/r³ = 1/27
R/r = 1/3
r = 3R
ratio of surface area = 6×3r/ 6×r
= 3/1
= 3:1 ans

Answer 2

Hey let the side of biggest cube be x
now the volume will be x^3 & their ratio is 1/27
let the smallest cube be Y then,(Y/x)^3 =1/27,now X=3Y, surface are = 6a^2, now ratio of surface area= 6y^2/6x^2=y^2/x^2=y^2/(3y)^2=1/9
ans=1/9