The volumes of two cubes are in the ratio 8:27. The ratio of their surface areas is:

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Let the side lengths of the cubes be $$a_1$$ and $$a_2$$. The volume ratio is given as $$\frac{a_1^3}{a_2^3} = \frac{8}{27}$$. Taking the cube root, we get $$\frac{a_1}{a_2} = \frac{2}{3}$$.

The surface area ratio is given by $$\frac{a_1^2}{a_2^2} = \left(\frac{2}{3}\right)^2 = \frac{4}{9}$$.

Thus, the ratio of their surface areas is **4:9**, matching **option (c)**.

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