Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A copper cube with edges of is put in a tank where the pressure is raised by . Find how much its volume falls, and how much each edge shortens. (Bulk modulus of copper .)
Bulk modulus: ; compressibility . Water: . A gas at a steady temperature has . For a cube, each edge shrinks by a third of the fractional change of volume.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Fraction. .
Step 2. Volume. , so .
Step 3. Edge. .
Answer: ; each edge shortens by .
Watch out. Each edge shrinks by a third of the fractional change of volume, because .
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