Abstract: Provided is a cover and a cover assembly for use in covering objects such as an outdoor furnishing, equipment, utilities and the like. The cover includes a compartment that removably attaches to the object and a cover portion that is stored in the compartment. The compartment includes a pouch-shaped interior and a pouch-extending tongue that is connected to the pouch-shaped interior and that attaches to a cover-extending tongue that is connected to an underneath side of the cover portion thereby attaching the cover portion to the compartment. In various embodiments, a space exists on the underneath side of the cover portion between the cover-extending tongue and an exterior edge of the cover portion such that when the cover portion is on the object, the exterior edge hangs below the compartment thereby covering the compartment while the cover portion remains attached to the compartment via the cover-extending tongue.