This is difficult as bath tubs are irregular in shape - and they are all different. One way is to put the plug in, and begin filling with water from a measured container, such as a watering can. If your watering can is 1 gallon (that's a UK gallon - 8 pints not a US gallon of 6 pint) then if you add 25 gallons to the tub, this equals 4 cubic feet. (1 cubic foot = 6 and 1 quarter UK gallons or 50 pints) So for every 25 gallons it takes then this is 4 cu feet For 12 and a half gallons this is 2 cubic feet. For 6 and one quarter gallons this is 1 cubic foot. Continue adding the water, keeping a tally of how much you add until the bath is full. using the gallons to cubic feet conversion described above you can then obtain the volume in cubic feet. When you have finished let out the water!
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You could calculate the volume of a bath tub by:
Approximate the bath by a cuboid. Measure its average length (L), width (W) and the depth (D) to the bottom of the overflow, in centimetres. The volume is L*W*D cubic centimetres or millilitres. Equivalently, it is L*W*D/1000 litres.