Ice Sheet Volume Calculator Formula
Understand the math behind the ice sheet volume calculator. Each variable explained with a worked example.
Formulas Used
Ice Volume
ice_volume = volume_km3Sea Level Equivalent
sea_level_equiv_m = water_equiv_km3 / ocean_area_km2 * 1000000Water Equivalent Volume
water_volume = water_equiv_km3Variables
| Variable | Description | Default |
|---|---|---|
area_km2 | Ice Sheet Area(km²) | 1710000 |
avg_thickness_m | Average Ice Thickness(m) | 2000 |
ice_density | Ice Density(kg/m³) | 917 |
ocean_area_km2 | Ocean Surface Area(km²) | 361000000 |
volume_km3 | Derived value= area_km2 * avg_thickness_m / 1000 | calculated |
water_equiv_km3 | Derived value= volume_km3 * ice_density / 1000 | calculated |
How It Works
Ice Sheet Volume and Sea Level
Ice sheets hold vast quantities of frozen water. If melted, this water raises global sea levels.
Formula
Volume (km³) = Area (km²) x Thickness (m) / 1000
Water Equivalent = Volume x Ice Density / Water Density
Sea Level Rise (m) = Water Equivalent (km³) / Ocean Area (km²) x 10^6
The Greenland ice sheet contains about 2.85 million km³ of ice, equivalent to roughly 7.2 m of sea level rise.
Worked Example
The Greenland ice sheet has an area of 1,710,000 km² and average thickness of 2,000 m.
- 01Volume = 1,710,000 x 2,000 / 1,000 = 3,420,000 km³
- 02Water equivalent = 3,420,000 x 917 / 1,000 = 3,136,140 km³
- 03Sea level = 3,136,140 / 361,000,000 x 1,000,000 = 8.69 m
- 04Note: actual Greenland SLE is ~7.2 m due to non-uniform thickness
Frequently Asked Questions
How much ice is in Antarctica vs Greenland?
Antarctica holds about 26.5 million km³ of ice (58 m sea level equivalent), while Greenland holds about 2.85 million km³ (7.2 m equivalent).
Why use ice density instead of water density?
Ice is less dense than water (917 vs 1000 kg/m³). Converting to water equivalent gives the actual volume of liquid water that would be released.
How fast are ice sheets losing mass?
Greenland loses about 270 billion tonnes of ice per year, and Antarctica about 150 billion tonnes per year, both rates accelerating.
Ready to run the numbers?
Open Ice Sheet Volume Calculator