New Built 20FT Standard Storage Container Cargo Container for Shipping.High cube shipping containers are similar in structure to general purpose containers, but taller by about 1 foot. These containers come in sizes 40′ and sometimes 45′, and are used in cases where a slightly bigger volume capacity is required. Most high cube containers have a recess in the floor at the front end to centre the container on so-called gooseneck chassis, which allows it to lie lower and be of taller construction.