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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
One of the reasons why this is more likely to happen when lapping flip chips is the small surface area.
The expansion rate of the pulp surface area is approximated by the expansion rate of the fruit surface area, which is a model input.
To make matters worse, fish have large respiratory membranes, the gills, which expose a huge amount of surface area to the watery medium.
By such thickening, mesophyll surface area per leaf area becomes greater in sun leaves than in shade leaves.
The folding increases junctional surface area by 10 to 20 times, decreasing the stress per unit area.
The coolers often contained rods or branches to increase the surface area on which the liquor could crystallise.

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