A casket with an exterior covering that has a raised design is described as what?

A casket described as having an exterior covering with a raised design is accurately termed "embossed." In the funeral service and merchandising context, embossing refers to the technique where a material is shaped or molded to create a design that rises above the surface. This process not only adds depth and visual interest but also enhances the aesthetic appeal of the casket, making it more distinctive and elegant.

The other terms have specific meanings that don't align with the raised design characteristic. For instance, textured typically refers to a more varied surface finish without necessarily having a distinct raised design; it could include any number of surface variations. Carved implies a design that is cut out of the surface, typically creating recesses rather than raised features. Engraved refers to incised or cut designs that are lower than the surrounding surface, which is the opposite of what is suggested by a raised design. Therefore, the term embossed is the most fitting in this context.