The ratio of respective surface areas will be "[tex]\frac{9}{64}[/tex]".
Given values are:
Cube's side length,
Another cube's side length,
Now,
→ The surface area of cube will be:
= [tex]6(a_1)^2[/tex]
= [tex]6(3)^2[/tex]
= [tex]6\times 9[/tex]
= [tex]54 \ cm^2[/tex]
→ The another cube's surface area will be:
= [tex]6(a_2)^2[/tex]
= [tex]6(8)^2[/tex]
= [tex]6\times 64[/tex]
= [tex]384 \ cm^2[/tex]
hence,
The ratio of respective surface areas will be:
= [tex]\frac{6(a_1)^2}{6(a_2)^2}[/tex]
= [tex]\frac{54}{384}[/tex]
= [tex]\frac{9}{64}[/tex]
Thus the above answer is correct.
Learn more about surface area here:
https://brainly.com/question/10026601
