Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 13 - Think and Explain: 85

Answer

If the floating ice has a mass of m grams, it displaces m grams of water. After it melts, it becomes m grams of water. Hence the water level is unchanged. The same argument holds true for air-filled ice cubes. The air has negligible mass, so the floating air-filled cube displaces m grams of water, and melts down to m grams of water. If the ice cube contains grains of heavy sand, the water level drops after the ice melts. The sand will displace a greater amount of water while floating, embedded inside the cube, than when submerged. A floating sand grain displaces its own weight of water, which takes up more space than the grain's own volume. When the sand is submerged, it displaces only its own volume.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.