Answer:
A.5:11
Step-by-step explanation:
We are given that ratio of areas of two similar solids is 25: 121.
We have to find the ratio of their side lengths.
We know that surface area of cube=[tex]6a^2[/tex]
Let x and y be the side of small and large solid
Then, [tex]\frac{Surface\;area\;of\;small\;solid}{surface\;area\;of\;large\;solid}=\frac{6x^2}{6y^2}=\frac{25}{121}[/tex]
[tex]\frac{x^2}{y^2}=\frac{5^2}{11^2}[/tex]
[tex](\frac{x}{y})^2=(\frac{5}{11})^2[/tex]
Cancel both side square then, we get
[tex]\frac{x}{y}=\frac{5}{11}[/tex]
Hence, the ratio of their side length is 5:11.
Answer:A. 5:11
