A fluid container (10) with a reflective external layer (14) over greater than 50 % of a container body wall that reduces heat gain through the wall. The reflectivity is greater than 70 %. The container body may be received by a passive base cup (30) having an outer layer (44) that also reflects radiation to further increase the thermal resistance of the container. The base cup may serve to actively cool the fluid in the container, by including a compartment (66) with a fluid (68) that can be frozen. A foamed layer (24) can be used under or over the reflective layer, on the container body and/or the cup, to also reduce heat gain. The reflective layer materials have a density different than the container body/cup materials to facilitate recycling.