The diagram shows a prism with a rectangular base, $$\(A B F E\)$$. The cross-section, $$\(A B C D\)$$, is a trapezium with $$\(A D=B C\)$$. $$\(A B=8 \mathrm{~cm}, G H=5 \mathrm{~cm}, B F=12 \mathrm{~cm}\)$$ and angle $$\(A B C=70^{\circ}\)$$. Calculate the total surface area of the prism. ...................................... $$\(\mathrm{cm}^{2}\)$$

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