$$\(20 \mathbf{R}\)$$ and $$\(\mathbf{S}\)$$ are two similar solid shapes. Shape $$\(\mathbf{R}\)$$ has surface area $$\(108 \mathrm{~cm}^{2}\)$$ and volume $$\(135 \mathrm{~cm}^{3}\)$$ Shape $$\(\mathbf{S}\)$$ has surface area $$\(300 \mathrm{~cm}^{2}\)$$ Work out the volume of shape $$\(\mathbf{S}\)$$. $$\(\mathrm{cm}^{3}\)$$

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