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What is a surface area?

What is a surface area? Here are some definitions.

Noun
  1. The total area on the surface of a three-dimensional figure.
  2. (computing) The total resources of a system that are accessible from the outside world and thus might be attacked.
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Examples
She has 27 sails in a frigate rig on three masts and a bowsprit, with a total surface area of 2,683 square metres.
The surface area of the lake now covers 570 square kilometres and its waters are crystal clear.
Platelet membranes bear a higher density of receptors per surface area than any other blood cell.
The expansion rate of the pulp surface area is approximated by the expansion rate of the fruit surface area, which is a model input.
The folding increases junctional surface area by 10 to 20 times, decreasing the stress per unit area.
One of the reasons why this is more likely to happen when lapping flip chips is the small surface area.

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