The diagram shows cuboid $$\(A B C D E F G H\)$$. Diagram NOT accurately drawn $$\(A B=5 \mathrm{~cm}\)$$ $$\(A H=4 \mathrm{~cm}\)$$ The size of the angle between $$\(C H\)$$ and the plane $$\(A B C D\)$$ is $$\(35^{\circ}\)$$ Calculate the volume of the cuboid. Give your answer correct to 3 significant figures. $$\(\mathrm{cm}^{3}\)$$

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