The ratio of their surface area is given by:
9:64
We know that if two solids are similar such that the ratio of their sides or edges is given by: [tex]\dfrac{a}{b}[/tex]
Then the ratio of the surface area of the two solids is given by:
[tex]\dfrac{a^2}{b^2}[/tex]
Here we have:
[tex]\dfrac{a}{b}=\dfrac{3}{8}[/tex]
Hence, on squaring both side of the equality we obtain:
[tex]\dfrac{a^2}{b^2}=\dfrac{3^2}{8^2}\\\\\\\dfrac{a^2}{b^2}=\dfrac{9}{64}[/tex]
Hence, the ratio of the surface area of two similar solids is:
9:64
