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Using water weight to calculate volume

DanAyo's picture
DanAyo

Using water weight to calculate volume

I want to precisely calculate the volume of a brea pan. If the an is placed on a scale and tared, then filled with water, can this be used to determine volume?

Let’s say the water weight needed to fill a pan is 1000g. We know that is 1000ml. 

Is 1000ml equal to 61.0237 cubic inches?

I want to be sure I understand this correctly.

Thanks in Advance,
Danny

HeiHei29er's picture
HeiHei29er

1,000 mL = 1,000 cubic centimeters = 61.0237 cubic inches

Depending on how precise you want to be...  Make sure you're using cold water in your weight measurement.  Warm water has a density less than 1 g/mL.

Ilya Flyamer's picture
Ilya Flyamer

I'd say water temperature (as long as it's liquid) affects density negligibly for everyday measurements, and the error will be less than 5% even when it's at the boiling point https://www.usgs.gov/special-topic/water-science-school/science/water-density?qt-science_center_objects=0#qt-science_center_objects

HeiHei29er's picture
HeiHei29er

Ilya, I agree.  For any temps we’re using in baking, approximating with 1 g/mL is usually close enough.

Benito's picture
Benito

Staying in metric is so much easier since 1 mL of water occupies 1 cubic cm of space.  So if a pan holds 1000 g of water, it would take 1000 mL of water and be 1000 cm3 in volume.

So my pullman pan is 9x4x4 inches.  22.86x10.16x10.16 cm = 2360 mL liquid volume = 2360 cm3 spatial volume and take 2360 g of water in weight.