What is the total volume of a water bottle?

Calculating the Volume of a Water Bottle

Determining the volume of a water bottle is a straightforward process that requires minimal equipment and basic mathematical calculations.

Materials Required:

• Water bottle
• Digital kitchen scale
• Water

Steps:

1. Weigh the Empty Bottle: Place the empty water bottle on the kitchen scale and record the weight, denoted as “mb.”

2. Fill the Bottle with Water: Fill the bottle with water to the brim, ensuring that there are no air pockets.

3. Weigh the Filled Bottle: Place the water-filled bottle back on the scale and record the weight, denoted as “mbw.”

4. Calculate the Water Weight: Subtract the weight of the empty bottle (mb) from the weight of the filled bottle (mbw) to obtain the weight of the water in the bottle: Water weight = mbw – mb

5. Calculate the Volume: Divide the water weight by the density of water, which is approximately 1 gram per cubic centimeter (g/cm³): Volume = Water weight / Density

Formula:

Volume = (mbw - mb) / 1 g/cm³

Example:

Suppose you weigh an empty water bottle and find it to be 25 grams. After filling it with water, you weigh it again and find it to be 650 grams.

Water weight = 650 g – 25 g = 625 g

Volume = 625 g / 1 g/cm³ = 625 cm³

Therefore, the total volume of the water bottle is 625 cubic centimeters.

Note:

• The accuracy of the calculation depends on the precision of the scale used.
• If the water bottle is not filled to the brim, the calculated volume will be smaller than the actual volume.
• For oddly shaped water bottles, the calculation may not provide an exact volume but will give a close approximation.