A pickup truck toolbox can be mounted to the bed side rails by feet rather than arms and may sit above the side rails and the bed volume, thus allowing use of the full volume of the bed between the side rails and the floor of the bed. It may have a rear view tunnel through it, whereby the driver may use normally the rear view mirror, and may have a Liddy light valley across the top, whereby the brake light will remain visible. The profile may match or sit within the profile of the cab of the truck, a fairing may be employed to improve fuel efficiency, and side-mounted vertical hatches may allow both easy access and the use of shelving.