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Surface area is measured in square units, the exact unit is given with the dimensions. For example, if the dimensions for a rectangular prism are 1cm by 1cm by 1cm, then the surface area is 6 square cm.
The above does not answer the question asked. Nor can it. The question asks for units and there is no such thing as a square unit. You can square a unit of measurement, but that is different.
A unit of measurement is determined by the system of measurement used and then determined from there. So before you can determine the unit, you have to ask what system are you using. The most universal form would be metric so you'd be working with meters and its variants such as the milliliter, centimeter, decimeter, and so on. Or, as we still do in the USA you could be using the Imperial standard in which case you're looking at inches, feet, yards, etc. Which to chose is based on the total area, as well as other information not provided in your question.
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How long is 0.30 Acres?
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Which cubes have the same volume and surface area?
A cube with an edge length of 6 units has a 216 square unit surface area and a 216 cubic unit volume.
What is the descriptor for the term square centimeter?
It is a derived unit in which area may be measured.
What is the formula to work out the surface area of a trapezoid?
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What is the basic unit by which angles are measured?
degree
