A method of installing a trench for containing a cryogenic spill, including the step of constructing multiple precast concrete sections at a first location, each section preferably having a bottom wall and spaced apart side walls connected to and extending up from the bottom wall. Each section preferably has end portions that enable connection to another said concrete section. The method includes (at the first location) preparing multiple panels of polymeric concrete material by filling one or more molds with a slurry or liquid polymeric concrete material and after time allowing the material to cure and harden. The mold can have a cavity that is lined with a release material. At the first location, one or more of the panels can be adhered to the bottom wall and side walls of each concrete section preferably using an adhesive. After adhering of the panels to the concrete sections, the concrete sections can be transported from the first location to a second location that is remote from the first location. At the second location, the concrete sections are connected together using connections that preferably join one end portion of a concrete section to and end portion of another concrete section. An epoxy grout is preferably field applied to the connections at the second location.

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