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The usual trick to answering this sort of question is to simplify it, or to state that you are making certain (stated) assumptions.

In the case of corrugated sheets, you could assume that the sheets were in fact a continuous series of semi-circles. This assumption would make the machining process simpler as well! And then proceed from there.

A well known math quote is "Let's assume a spherical cow."

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Q: How do you calculate surface area of corrugated sheets?
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