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The skin surface is not large enough for big creatures such as humans; therefore we have structures in our lungs that greatly increase the surface area.
The respiration system adopts to the surface area to volume ratio to help the exchange of gases.
Leaves are broad, thin and flat to provide a large surface area, to absorb sunlight for photosynthesis. :)
Surface size directly affects the possibility for gas exchange. Volume affects how much the cell can contain. If a cell has a large volume and a small surface area, it will be able to keep in water easily. But if it needs outside gas input for its reactions, the small surface area may be a limiting factor.
large area