Question on space suits and pressure

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If pressure on the moon is 0 atmospheres and presure inside the suits was 1 atmosphere, how comes the suits didnt inflate if they were no rigid?

the same applyies for space walks
 
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i believe the suit is either rigid, or the air is pumped only to the helmet which is rigid, and the rest of the suit is actually airtight.
 
First off, pressure suits aren't pressurized to 1 atm, but only 3 psi pure oxygen.

As to the other question, the suits are designed to remain flexible under pressure. Some use an inner rubber lining with accordian pleat joints. The accordian pleat mantains a constant volume under pressure which keeps the suit from going rigid. The outer layers are not pressurized, which is why they do not balloon out.