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When the Ice Melts (illustration)
FILE No.109Unsolved

When the Ice Melts

Difficulty ★☆☆about 5 minEveryday MysteryBuoyancyWeight
If floating ice melts completely, what happens to the water level in the glass?

Case Record

Your question

A glass is filled to the brim with water, with ice floating in it. Part of the ice sticks out above the surface. When all the ice has melted, what happens to the water level?

Case Files

Diagram

A full glass with ice floating in itNowPart of the ice sticks outWhat happens to the water level when all the ice has melted?
Diagram

Hints

If you get stuck, open the hints one at a time, in order.

Open hint 1

How much of the ice is under the water?

Open hint 2

A floating object pushes aside water equal to its own weight.

Open hint 3

Where does the melted water go?

Solve It

Your question

A glass is filled to the brim with water, with ice floating in it. Part of the ice sticks out above the surface. When all the ice has melted, what happens to the water level?

Choose the answer closest to the truth.

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The Truth

It stays the same

The answer is "It stays the same."

Floating ice pushes aside a weight of water equal to its own weight. When it melts, it becomes exactly that weight of water, which fills the space it had displaced.

The glass will not overflow, and the water level will not rise.

Before and after meltingBeforeAfterSame levelFloating ice pushes aside water of its own weight. When it melts itbecomes exactly that much water and fills the space it displaced.
Diagram of the solution

Key Points

  • Think of buoyancy in terms of weight
  • Volume of displaced water = volume of melted water
  • The water level does not change

Why people get fooled

Because you assume ice takes up more volume than water and think the level rises.

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