Calculate water volume from solid ice volume or vice versa using mass conservation and editable densities. Exclude air gaps between ice pieces unless using a measured bulk density.

Uses solid ice volume, excluding gaps between pieces. For a filled container, supply its measured bulk ice density.

Density assumptions

Approximate solid ice near 0°C. A measured bulk density includes air gaps.

Approximate liquid-water density; use a matching measured value when needed.

Water Volume from Ice Volume Formula

The following formula is used to calculate the Water Volume from Ice Volume. 

WV = IV × (ice density / water density)
  • Where WV is the Water Volume from Ice Volume (in^3)
  • IV is the ice volume (in^3) 

Multiply ice volume by ice density divided by water density. The defaults, 0.917 g/mL and 1 g/mL, give WV = IV × 0.917.

Ice to Water Volume Conversion Table (mL; water = 0.917 × ice)
Ice Volume (mL) Water Volume (mL)
1513.755
3027.510
4541.265
5954.103
6055.020
9082.530
118108.206
120110.040
150137.550
177162.309
180165.060
200183.400
237217.329
240220.080
300275.100
355325.535
473433.741
500458.500
946867.482
1000917.000
* Rounded to 3 decimals. Assumes solid ice density ≈ 0.917 g/mL and water density ≈ 1.00 g/mL. Relationship: 1 mL ice → 0.917 mL water.

How to Calculate Water Volume from Ice Volume?

The following example problems outline how to calculate Water Volume from Ice Volume.

Example Problem #1:

  1. First, determine the ice volume (in^3).
    1. The ice volume (in^3) is given as 30.
  2. Finally, calculate the Water Volume from Ice Volume using the equation above: 

WV = IV * (ice density / water density)

The values given above are inserted into the equation below:

WV = 30 × 0.917 = 27.51 (in^3)

Example Problem #2: 

The variables needed for this problem are provided below:

ice volume (in^3) = 55

Entering these values and solving gives:

WV = 55 × 0.917 = 50.435 (in^3)