If you mean by "no direct sunlight" in the dark deep shade then it
should be OK, but if you mean with only indirect light from a blue sky
then the UV content will be high enough to cause trouble (yellowing and
brittleness) unless it is UV inhibited exterior grade (usually on one
surface). Other plastics would probably be both cheaper, more suitable
for this job and much easier to work with.
Thin acrylic sheet is somewhat brittle when sawing it.
Why would you want to be able to see through the soffit?
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