Question for the mathematicians - how to work out plastic bag litre size?

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I'm hoping the mathematicians here on OC can help me solve this issue, tried googling it but go no where. I've got a plastic bag that's H 850mm x W 450mm x L 725mm. I need its volume litre size, how do I work it out?!

Thanks in advance!
 
^might not be 100% accurate if its got a pinched bottom...

Is it strong enough to fill with water? or if not put it into a larger container that is strong enough, fill the bag up, then drain it and see how much water its holding.
 
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save up a load of 2l bottles.
fill them with water.
pour into bag until full.

probably it can't hold many litres before it breaks.

#forscience
 
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Plus it will stretch with that weight of water in it, 277kg. So probably more, unless it bursts first of course.
 
Irregular shapes are always tricky, yet bin bags generally give the capacity in litres plus the dimensions. Might that be a way to guestimate this?

Take some small bin bags (compost ones?), blow them up with air, close them and see how many it takes to fill them?

As already said, water-filling requires a very strong bag. Air-filling would not but air is harder to measure (remember 1 litre of water is 1kg (at 4°C etc.)).

Submersing the bag to see the amount of water it can be displace requires some very big water containers and since we are talking about displacing ~270 litres there would still be a lot of force involved. However displacement & submersion has the advantage that it can work gradually so as long as the bag was airtight enough the full 270kg of displaced water would never have to be applied all at once, but at the end you are still displacing 270kg which is asking a lot (too much) from a plastic bag.

Guess if you wanted to measure a balloon you'd make a cast and burst the balloon. A lot of work but probably the most accurate thing to do.
 
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