The Taylor Prism is a regular hexagonal prism made of clay with a historical record written on its sides. It was found by archaeologist Colonel Taylor in 1830. If the ancient Assyrians had written on all the surfaces, what total surface area would the writing have covered?
Diagram of a regular hexagonal prism (Taylor Prism). The top face is a regular hexagon with side lengths of 8.5 cm and an apothem of 14.7 cm. The height of the prism is 38 cm.