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The line \sbox{\mybox}{\parbox{2cm}{\lipsum[1]}} causes some of the above messages (59):
\documentclass{article}
\usepackage{lipsum}
\newsavebox{\mybox}
\begin{document}
\sbox{\mybox}{\parbox{2cm}{\lipsum[1]}}
\end{document}
Do I need to fix them? If not: is it possible disable these messages for that line?
TeX displays such warnings when the badness is above a threshold contained in the parameters \hbadness and \vbadness. You're interested in the first one:
\documentclass{article}
\usepackage{lipsum}
\newsavebox{\mybox}
\begin{document}
\sbox{\mybox}{\hbadness=10000 \parbox{2cm}{\lipsum[1]}}
\end{document}
Since the badness can never be above 10000, this effectively suppresses all Underfull \hbox messages. There might still be Overfull \hbox messages, which are suppressed by adding \hfuzz=\maxdimen inside the \parbox.
If the constructed box is used only for measuring it, these actions can be justified. Since the change to the parameters happens in a group, the values will automatically be restored at the end.
\hbadness=10000 inside \resizebox? Can I lose anything useful there? I don't really see the point of an underfull \hbox message inside a resizebox.
\hbadness so as to know whether the typesetting is good or not.
savebox. But I couldn't figure out how can a warning be useful inside resizebox. Or is it the error of resizebox itself even if \hbadness=10000 is specified inside it?
{\raggedright\lipsum[1]}instead.\usebox? The effect is the same with\raggedright.\raggedrightI get not underfull messages. Can you tell us why would you want to save this material if you are not going to issue a\usebox.\hbadness=10000before\sboxto avoid the warnings...